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clinical features of substance abuse patient from lippincot mannual

1 Makerere University Department of Electrical and Computer Engineering B.Sc. in Electrical Engineering, B.Sc. in Computer & Communications Engineering and B.Sc. Biomedical Engineering EMT1101 – ENGINEERING MATHEMATICS I Coursework Set 1 Instructions: a) Work in groups of 2–3 members. b) Each group must include members from different programmes (BELE, BCCE, BBI). c) Clearly list each member’s name, registration number, and programme on the cover page. d) Solutions may be handwritten or typed. e) Submission deadline: 30th October 2025 at 8:00 AM (strictly). 1. For power system engineers, it is essential to ensure maximum power transfer from the source to the load. Figure 1 shows a circuit in which a non-ideal voltage source is connected to a variable load resistor with resistance 𝑅𝐿. The source voltage is 𝑉 and its internal resistance is 𝑅𝑆. Calculate the value of 𝑅𝐿 which results in the maximum power being transferred from the voltage source to the load resistor. 6 Marks Figure 1 2. Find the dimensions of the right-circular cylinder of largest volume that can be inscribed in a sphere of radius R. 4 Marks 3. Sketch graphs of the functions  2 (i) 𝑦 = 𝑥2−𝑥−6 𝑥+1 5 Marks (ii)𝑦 = 𝑥−1 𝑥2−4 5 Marks 4. Given the system of linear equations 4𝑥 − 5𝑦 + 7𝑧 = −14 9𝑥 + 2𝑦 − 3𝑧 = 47 𝑥 − 𝑦 − 5𝑧 = 11 Solve the equation using (i) Crammer’s rule 5 Marks (ii)Gauss elimination method 5 Marks 5. (a) Sketch graphs of the following functions (i) 𝑓(𝑥) = 𝑥 |𝑥| 2 Marks (ii) 𝑓(𝑥) = √4 − 𝑥2 2 Marks (iii)𝑓(𝑥) = {𝑥2, 𝑥 > 1 2, 𝑥 ≤ 1 2 Marks (b) An open box is to be made from an 8𝑐𝑚 × 15𝑐𝑚 piece of sheet metal by cutting out squares with sides of length 𝑥 from each of the four corners and bending up the sides. Express the volume 𝑉 of the box as a function 𝑥, and state the domain and range of the function. 4 Marks 6. Evaluate the following integrals (i) ∫ sin2 3𝑥 cos 3𝑥 𝑑𝑥 𝜋 2 ⁄ 0 4 Marks (ii) ∫ cos 2𝑥 √7−3 sin 2𝑥 𝑑𝑥 𝜋 4 ⁄ 0 4 Marks (iii)∫ 𝑥2 √4−3𝑥 𝑑𝑥 1 0 4 Marks (iv) ∫ √tan 𝑥 sec2 𝑥 𝑑𝑥 4 Marks (v) ∫ 𝑒𝑎𝑥 cos 𝑏𝑥 𝑑𝑥 4 Marks

1 Makerere University Department of Electrical and Computer Engineering B.Sc. in Electrical Engineering, B.Sc. in Computer & Communications Engineering and B.Sc. Biomedical Engineering EMT1101 – ENGINEERING MATHEMATICS I Coursework Set 1 Instructions: a) Work in groups of 2–3 members. b) Each group must include members from different programmes (BELE, BCCE, BBI). c) Clearly list each member’s name, registration number, and programme on the cover page. d) Solutions may be handwritten or typed. e) Submission deadline: 30th October 2025 at 8:00 AM (strictly). 1. For power system engineers, it is essential to ensure maximum power transfer from the source to the load. Figure 1 shows a circuit in which a non-ideal voltage source is connected to a variable load resistor with resistance 𝑅𝐿. The source voltage is 𝑉 and its internal resistance is 𝑅𝑆. Calculate the value of 𝑅𝐿 which results in the maximum power being transferred from the voltage source to the load resistor. 6 Marks Figure 1 2. Find the dimensions of the right-circular cylinder of largest volume that can be inscribed in a sphere of radius R. 4 Marks 3. Sketch graphs of the functions  2 (i) 𝑦 = 𝑥2−𝑥−6 𝑥+1 5 Marks (ii)𝑦 = 𝑥−1 𝑥2−4 5 Marks 4. Given the system of linear equations 4𝑥 − 5𝑦 + 7𝑧 = −14 9𝑥 + 2𝑦 − 3𝑧 = 47 𝑥 − 𝑦 − 5𝑧 = 11 Solve the equation using (i) Crammer’s rule 5 Marks (ii)Gauss elimination method 5 Marks 5. (a) Sketch graphs of the following functions (i) 𝑓(𝑥) = 𝑥 |𝑥| 2 Marks (ii) 𝑓(𝑥) = √4 − 𝑥2 2 Marks (iii)𝑓(𝑥) = {𝑥2, 𝑥 > 1 2, 𝑥 ≤ 1 2 Marks (b) An open box is to be made from an 8𝑐𝑚 × 15𝑐𝑚 piece of sheet metal by cutting out squares with sides of length 𝑥 from each of the four corners and bending up the sides. Express the volume 𝑉 of the box as a function 𝑥, and state the domain and range of the function. 4 Marks 6. Evaluate the following integrals (i) ∫ sin2 3𝑥 cos 3𝑥 𝑑𝑥 𝜋 2 ⁄ 0 4 Marks (ii) ∫ cos 2𝑥 √7−3 sin 2𝑥 𝑑𝑥 𝜋 4 ⁄ 0 4 Marks (iii)∫ 𝑥2 √4−3𝑥 𝑑𝑥 1 0 4 Marks (iv) ∫ √tan 𝑥 sec2 𝑥 𝑑𝑥 4 Marks (v) ∫ 𝑒𝑎𝑥 cos 𝑏𝑥 𝑑𝑥 4 Marks

1 Makerere University Department of Electrical and Computer Engineering B.Sc. in Electrical Engineering, B.Sc. in Computer & Communications Engineering and B.Sc. Biomedical Engineering EMT1101 – ENGINEERING MATHEMATICS I Coursework Set 1 Instructions: a) Work in groups of 2–3 members. b) Each group must include members from different programmes (BELE, BCCE, BBI). c) Clearly list each member’s name, registration number, and programme on the cover page. d) Solutions may be handwritten or typed. e) Submission deadline: 30th October 2025 at 8:00 AM (strictly). 1. For power system engineers, it is essential to ensure maximum power transfer from the source to the load. Figure 1 shows a circuit in which a non-ideal voltage source is connected to a variable load resistor with resistance 𝑅𝐿. The source voltage is 𝑉 and its internal resistance is 𝑅𝑆. Calculate the value of 𝑅𝐿 which results in the maximum power being transferred from the voltage source to the load resistor. 6 Marks Figure 1 2. Find the dimensions of the right-circular cylinder of largest volume that can be inscribed in a sphere of radius R. 4 Marks 3. Sketch graphs of the functions  2 (i) 𝑦 = 𝑥2−𝑥−6 𝑥+1 5 Marks (ii)𝑦 = 𝑥−1 𝑥2−4 5 Marks 4. Given the system of linear equations 4𝑥 − 5𝑦 + 7𝑧 = −14 9𝑥 + 2𝑦 − 3𝑧 = 47 𝑥 − 𝑦 − 5𝑧 = 11 Solve the equation using (i) Crammer’s rule 5 Marks (ii)Gauss elimination method 5 Marks 5. (a) Sketch graphs of the following functions (i) 𝑓(𝑥) = 𝑥 |𝑥| 2 Marks (ii) 𝑓(𝑥) = √4 − 𝑥2 2 Marks (iii)𝑓(𝑥) = {𝑥2, 𝑥 > 1 2, 𝑥 ≤ 1 2 Marks (b) An open box is to be made from an 8𝑐𝑚 × 15𝑐𝑚 piece of sheet metal by cutting out squares with sides of length 𝑥 from each of the four corners and bending up the sides. Express the volume 𝑉 of the box as a function 𝑥, and state the domain and range of the function. 4 Marks 6. Evaluate the following integrals (i) ∫ sin2 3𝑥 cos 3𝑥 𝑑𝑥 𝜋 2 ⁄ 0 4 Marks (ii) ∫ cos 2𝑥 √7−3 sin 2𝑥 𝑑𝑥 𝜋 4 ⁄ 0 4 Marks (iii)∫ 𝑥2 √4−3𝑥 𝑑𝑥 1 0 4 Marks (iv) ∫ √tan 𝑥 sec2 𝑥 𝑑𝑥 4 Marks (v) ∫ 𝑒𝑎𝑥 cos 𝑏𝑥 𝑑𝑥 4 Marks

1 Makerere University Department of Electrical and Computer Engineering B.Sc. in Electrical Engineering, B.Sc. in Computer & Communications Engineering and B.Sc. Biomedical Engineering EMT1101 – ENGINEERING MATHEMATICS I Coursework Set 1 Instructions: a) Work in groups of 2–3 members. b) Each group must include members from different programmes (BELE, BCCE, BBI). c) Clearly list each member’s name, registration number, and programme on the cover page. d) Solutions may be handwritten or typed. e) Submission deadline: 30th October 2025 at 8:00 AM (strictly). 1. For power system engineers, it is essential to ensure maximum power transfer from the source to the load. Figure 1 shows a circuit in which a non-ideal voltage source is connected to a variable load resistor with resistance 𝑅𝐿. The source voltage is 𝑉 and its internal resistance is 𝑅𝑆. Calculate the value of 𝑅𝐿 which results in the maximum power being transferred from the voltage source to the load resistor. 6 Marks Figure 1 2. Find the dimensions of the right-circular cylinder of largest volume that can be inscribed in a sphere of radius R. 4 Marks 3. Sketch graphs of the functions  2 (i) 𝑦 = 𝑥2−𝑥−6 𝑥+1 5 Marks (ii)𝑦 = 𝑥−1 𝑥2−4 5 Marks 4. Given the system of linear equations 4𝑥 − 5𝑦 + 7𝑧 = −14 9𝑥 + 2𝑦 − 3𝑧 = 47 𝑥 − 𝑦 − 5𝑧 = 11 Solve the equation using (i) Crammer’s rule 5 Marks (ii)Gauss elimination method 5 Marks 5. (a) Sketch graphs of the following functions (i) 𝑓(𝑥) = 𝑥 |𝑥| 2 Marks (ii) 𝑓(𝑥) = √4 − 𝑥2 2 Marks (iii)𝑓(𝑥) = {𝑥2, 𝑥 > 1 2, 𝑥 ≤ 1 2 Marks (b) An open box is to be made from an 8𝑐𝑚 × 15𝑐𝑚 piece of sheet metal by cutting out squares with sides of length 𝑥 from each of the four corners and bending up the sides. Express the volume 𝑉 of the box as a function 𝑥, and state the domain and range of the function. 4 Marks 6. Evaluate the following integrals (i) ∫ sin2 3𝑥 cos 3𝑥 𝑑𝑥 𝜋 2 ⁄ 0 4 Marks (ii) ∫ cos 2𝑥 √7−3 sin 2𝑥 𝑑𝑥 𝜋 4 ⁄ 0 4 Marks (iii)∫ 𝑥2 √4−3𝑥 𝑑𝑥 1 0 4 Marks (iv) ∫ √tan 𝑥 sec2 𝑥 𝑑𝑥 4 Marks (v) ∫ 𝑒𝑎𝑥 cos 𝑏𝑥 𝑑𝑥 4 Marks

Question 1 (3 points) $\checkmark$ Saved According to the MGO 634 grading policy, which of the following is the minimum number of points you need to earn, to be awarded an "A" in MGO 634? $\square 744$ $\square 94$ $\square 684$ $\bullet 713$

Question 3 (3 points) $\checkmark$ Saved This semester includes 10 Pulse Quizzes in total. Which ones count toward your final point total? All 10 of your scores. (4) Your 9 highest scores. Your 7 highest scores. Pulse Quizzes \#1-\#8 scores count toward your total; Pulse Quiz \#9 and \#10 don't count.

A sector of a circle has a diameter of 22 feet and an angle of 2pi/3 radius. Find the area of the sector

Explain why the molecular geometry of water (H2O) is bent and not linear, despite the oxygen atom having two hydrogen atoms bonded to it.

Using the ICD-10-CM code book, identify the main term for the following diagnosis: Pain in left ankle. Also, what is the code? Question 9 options: ankle left pain foot

Question 1 Which of the following phrases best describes the function of ribosomal RNA (rRNA)? Group of answer choices It transcribes messenger and transfer RNA from DNA. It adds structural support to the cell membrane. It transfers amino acids to the ribosome to be incorporated into proteins. It helps the ribosome to recognize how and where to begin working. It bonds amino acids to transfer RNAs. Question 2 Life perpetuates itself at the cellular level Group of answer choices even though nutrient absorption happens only at the organismal level. by acquiring monomers and energy sources at the microscopic level. until the organism dies, then all cell growth stops immediately. carrying out absorption, processing and growing “for” the organism. b) and d) above Question 3 The mitotic stage of metaphase is most clearly defined by Group of answer choices microtubule shortening that places all chromosomes at the spindle midline. the first stages of deterioration of the nuclear membrane. migration of sister chromatids to opposite poles of the spindle. the replication of the centrosome. the gradual condensation of chromatin into visible chromosomes.

Which of the following statements is correct regarding net diffusion? The greater the concentration gradient, the faster the rate. The rate is independent of temperature. Molecular weight of a substance does not affect the rate. The lower the temperature, the faster the rate.

Which of the following contributes to the existence of the blind spot? each retinal ganglion cell receives input from multiple photoreceptors there is a small region at the centre of the retina that contains only cones there are no photoreceptors where the optic nerve exits the eye the outer segments of photoreceptors face toward the light

Which statement best describes a keystone species? A. It has little genetic variation. B. It has an extremely high population. C. It remains unaffected by all environmental changes. D. It has a strong influence on the ecosystem. E. It’s the first species to populate a new ecosystem.

List the 6 reciprocal identities. sin 𝜃 = csc 𝜃 = cos 𝜃 = sec 𝜃 = tan 𝜃 = cot

$$ \sqrt[3]{70 n}(\sqrt[4]{70 n})^{2} $$ For what value of $x$ is the given expression equivalent to $(70 n)^{20 x}$, where $n>1$ ?

Growth of a Culture of Bacteria | Day | Number of bacteria per milliliter at end of day | | --- | --- | | 1 | $2.5 \times 10^{5}$ | | 2 | $5.0 \times 10^{5}$ | | 3 | $1.0 \times 10^{6}$ | A culture of bacteria is growing at an exponential rate, as shown in the table above. At this rate, on which day would the number of bacteria per milliliter reach $5.12 \times 10^{6}$ ? A. Day 5 B. Day 9 C. Day 11 D. Day 12

The equation above is true for all $\chi>2$, where $r$ and $t$ are positive constants. What is the value of $r t$ ? A. -20 B. 15 C. 20 D. 60

$\square$ f of $x$ equals, negative 500, $x$ squared, plus $25,000 x$ The revenue $f(x)$, in dollars, that a company receives from sales of a product is given by the function $f$ above, where $x$ is the unit price, in dollars, of the product. The graph of $y=f(x)$ in the $x y$-plane intersects the $x$-axis at 0 and $a$. What does $a$ represent? A. The revenue, in dollars, when the unit price of the product is $\$ 0$ B. The unit price, in dollars, of the product that will result in maximum revenue C. The unit price, in dollars, of the product that will result in a revenue of $\$ 0$ D. The maximum revenue, in dollars, that the company can make

During a 5-second time interval, the average acceleration $a$, in meters per second squared, of an object with an initial velocity of 12 meters per second is defined by the equation $a=\frac{v f-12}{5}$, where $v f$ is the final velocity of the object in meters per second. If the equation is rewritten in the form $v f=x a+y$, where $x$ and $y$ are constants, what is the value of $x$ ?

The function $\boldsymbol{f}$ is defined by $\boldsymbol{f}(\boldsymbol{x})=\boldsymbol{a}^{\boldsymbol{x}}+\boldsymbol{b}$, where $\boldsymbol{a}$ and $\boldsymbol{b}$ are constants. In the $\boldsymbol{x y}$-plane, the graph of $\boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x})$ has an $\boldsymbol{x}$-intercept at $(\mathbf{2}, \mathbf{0})$ and a $\boldsymbol{y}$-intercept at $(\mathbf{0},-\mathbf{3 2 3})$. What is the value of $\boldsymbol{b}$ ?

- the fraction with numerator 1, and denominator *x* squared, plus 10 *x*, plus 25, end fraction, equals 4 If *x* is a solution to the given equation, which of the following is a possible value of *x* + 5? A. - one half B. - five halves C. - nine halves D. - eleven halves

Function $\boldsymbol{f}$ is defined by $\boldsymbol{f}(\boldsymbol{x})=-\boldsymbol{a}^{\boldsymbol{x}}+\boldsymbol{b}$, where $\boldsymbol{a}$ and $\boldsymbol{b}$ are constants. In the $x y$-plane, the graph of $\boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x})-\mathbf{1 2}$ has a $y$-intercept at $(\mathbf{0},-\frac{\mathbf{1 2}}{2})$. The product of $\boldsymbol{a}$ and $\boldsymbol{b}$ is $\frac{\boldsymbol{a} \boldsymbol{b}}{\boldsymbol{1}}$. What is the value of $\boldsymbol{a}$ ?

$$ \begin{aligned} & \frac{\sqrt{x^{5}}}{\sqrt[3]{x^{4}}}=x^{\frac{a}{b}} \\ & \text { If } \frac{\sqrt[3]{x^{4}}}{\sqrt[3]{x^{4}}}=x^{\frac{a}{b}} \text { for all positive values of } x \\ & \text { what is the value of } \frac{a}{b} \text { ? } \end{aligned} $$

Which of the following expressions is(are) a factor of **3x²** + **20x** — **63** ? 1. **x** — **9** 2. **3x** — **7** 3. I only 4. II only 5. C. I and II 6. Neither I nor II

Open parenthesis, a x plus 3, close parenthesis, times, open parenthesis, 5 x squared, minus b x, plus 4, close parenthesis, equals, 20 x cubed, minus 9 x squared, minus 2 x, plus 12 The equation above is true for all $x$, where $a$ and $b$ are constants. What is the value of $a b$ ? A. 18 B. 20 C. 24 D. 40

Equation 1: x minus y, equals 1. Equation 2: x plus y equals, x squared minus 3 Which ordered pair is a solution to the system of equations above? A. 1 plus the square root of 3, comma, the square root of 3 B. 1 plus the square root of 3, comma, the negative of the square root of 3 C. 1 plus the square root of 5, comma, the square root of 5 D. 1 plus the square root of 5, comma, negative 1 plus the square root of 5

The first term of a sequence is $\boldsymbol{9}$. Each term after the first is $\mathbf{4}$ times the preceding term. If $\boldsymbol{w}$ represents the $\boldsymbol{n}$ th term of the sequence, which equation gives $\boldsymbol{w}$ in terms of $\boldsymbol{n}$ ? A. $\boldsymbol{w}=4\left(9^{n}\right)$ B. $\boldsymbol{w}=4\left(9^{n-1}\right)$ C. $\boldsymbol{w}=9\left(4^{n}\right)$ D. $\boldsymbol{w}=9\left(4^{n-1}\right)$

$$ f(x)=9,000(0.66)^{x} $$ The given function $f$ models the number of advertisements a company sent to its clients each year, where $x$ represents the number of years since 1997, and $0 \leq x \leq 5$. If $y=f(x)$ is graphed in the $x y$-plane, which of the following is the best interpretation of the $y$-intercept of the graph in this context? A. The minimum estimated number of advertisements the company sent to its clients during the 5 years was 1,708 . B. The minimum estimated number of advertisements the company sent to its clients during the 5 years was 9,000 . C. The estimated number of advertisements the company sent to its clients in 1997 was 1,708 . D. The estimated number of advertisements the company sent to its clients in 1997 was 9,000 .

In the $\boldsymbol{x y}$-plane, a line with equation $\mathbf{2 y}=\mathbf{4 . 5}$ intersects a parabola at exactly one point. If the parabola has equation $\mathbf{y}=-\mathbf{4 x ^ { 2 } }+\mathbf{b x}$, where $\mathbf{b}$ is a positive constant, what is the value of $\mathbf{b}$ ?

One solution to the given equation can be written as $1+\sqrt{k}$, where $k$ is a constant. What is the value of $k$ ? A. 8 B. 10 C. 20 D. 40

The function ƒ is defined by ƒ(σ) = (−8)(2)° ~~+~~ 22. What is the *y* -intercept of the graph of y = ƒ(σ) in the *xy* -plane? A. (0, 14) B. (0, 2) C. (0, 22) D. (0, −8)

$$ 214-x+314-x=25 $$ What is the positive solution to the given equation?

What is the molecular geometry (shape) of S atom in SCl2? linear angular trigonal planar trigonal pyramidal tetrahedral trigonal bipyramidal octahedral

Find the equation of the axis of symmetry of the following parabola using graphing technology: 𝑦 = 𝑥2 + 6𝑥 + 17

"Write the standard form of the equation and the general form of the equation of the circle with radius r and center​ (h,k). Then graph the circle. requals1​;    ​(h,k)equalsleft parenthesis 8 comma negative 6 right parenthesis Question content area bottom left Part 1 The standard form of the equation of this circle is enter your response here. ​(Type your answer in standard​ form.)"

"Write a Lewis structure for PF3 and then predict the geometry. Tetrahedral Trigonal pyramidal Bent Seesaw"

Find the equation of the line. Use exact numbers. A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, negative six and four, negative seven.