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I. For items 1 to 4, answer each item taken from the word problem. Write your answer on your paper. Two variables a and b are both differentiable functions of t and are related by the equation b = 2a? – 5. Given that da/dt = 5. Find db/dt when a = 3. 1. What is being asked on the problem? C. derivative of b with respect to t D. derivative of a with respect to t A. derivative of x with respect to t B. derivative of y with respect to t 2. Which are the correct quantities based on the word problem? A. dy/dt = 5 when x = 3 and y = 2x2 - 5 B. da/dt = 5, when a = 3 and b = 2a² – 5 C. dx/dt = 5, when y = 3 and x = 2y² – 5 D. db/dt = 5 when b = 3 and a = 2b² – 5 3. Taking the derivative of the related equation b = 2a² – 5 with respect to time results to c. = 4y db A. dt da B. dt D. dt 4a 4x dt 4. Once done from questions 1 to 3, solve the word problem given above. С. 60 A. 40 В. 50 D. 70 II. In items 5 to 9, answer each item taken from the word problem below. Write your answers on your paper. Imagine that a point is moving along the graph y = 5x²+ 3x. The horizontal rate of change is dx/dt = 3 cm/s. Find its dy/dt when x = -2. 5. The problem is about evaluating its vertical rate of change. True or False? C. Maybe D. Sometimes A. True B. False 13 II

I. For items 1 to 4, answer each item taken from the word problem. Write your answer on your paper. Two variables a and b are both differentiable functions of t and are related by the equation b = 2a? – 5. Given that da/dt = 5. Find db/dt when a = 3. 1. What is being asked on the problem? C. derivative of b with respect to t D. derivative of a with respect to t A. derivative of x with respect to t B. derivative of y with respect to t 2. Which are the correct quantities based on the word problem? A. dy/dt = 5 when x = 3 and y = 2x2 - 5 B. da/dt = 5, when a = 3 and b = 2a² – 5 C. dx/dt = 5, when y = 3 and x = 2y² – 5 D. db/dt = 5 when b = 3 and a = 2b² – 5 3. Taking the derivative of the related equation b = 2a² – 5 with respect to time results to c. = 4y db A. dt da B. dt D. dt 4a 4x dt 4. Once done from questions 1 to 3, solve the word problem given above. С. 60 A. 40 В. 50 D. 70 II. In items 5 to 9, answer each item taken from the word problem below. Write your answers on your paper. Imagine that a point is moving along the graph y = 5x²+ 3x. The horizontal rate of change is dx/dt = 3 cm/s. Find its dy/dt when x = -2. 5. The problem is about evaluating its vertical rate of change. True or False? C. Maybe D. Sometimes A. True B. False 13 II

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5:44 4 25% O drive.google.com/drive/ 19 12 Assessment I. For items 1 to 4, answer each item taken from the word problem. Write your answer on your paper. Two variables a and b are both differentiable functions of t and are related by the equation b = 2a? – 5. Given that da/dt = 5. Find db/dt when a = 3. 1. What is being asked on the problem? A. derivative of x with respect to t B. derivative of y with respect to t C. derivative of b with respect to t D. derivative of a with respect to t 2. Which are the correct quantities based on the word problem? A. dy/dt = 5 when x = 3 and y = 2x2 – 5 B. da/dt = 5, when a = 3 and b = 2a? – 5 C. dx/dt = 5, when y = 3 and x = 2y? – 5 D. db/dt = 5 when b = 3 and a = 2b2 – 5 3. Taking the derivative of the related equation b = 2a² – 5 with respect to time results to _- A. = 4b c. = 4y da %3D B. = 4x D. = 4a dt 4. Once done from questions 1 to 3, solve the word problem given above. A. 40 С. 60 В. 50 D. 70 II. In items 5 to 9, answer each item taken from the word problem below. Write your answers on your paper. Imagine that a point is moving along the graph y = 5x2 + 3x. The horizontal rate of change is dx/dt = 3 cm/s. Find its dy/dt when x = -2. 5. The problem is about evaluating its vertical rate of change. True or False? A. True В. False C. Maybe D. Sometimes 13
Transcribed Image Text:5:44 4 25% O drive.google.com/drive/ 19 12 Assessment I. For items 1 to 4, answer each item taken from the word problem. Write your answer on your paper. Two variables a and b are both differentiable functions of t and are related by the equation b = 2a? – 5. Given that da/dt = 5. Find db/dt when a = 3. 1. What is being asked on the problem? A. derivative of x with respect to t B. derivative of y with respect to t C. derivative of b with respect to t D. derivative of a with respect to t 2. Which are the correct quantities based on the word problem? A. dy/dt = 5 when x = 3 and y = 2x2 – 5 B. da/dt = 5, when a = 3 and b = 2a? – 5 C. dx/dt = 5, when y = 3 and x = 2y? – 5 D. db/dt = 5 when b = 3 and a = 2b2 – 5 3. Taking the derivative of the related equation b = 2a² – 5 with respect to time results to _- A. = 4b c. = 4y da %3D B. = 4x D. = 4a dt 4. Once done from questions 1 to 3, solve the word problem given above. A. 40 С. 60 В. 50 D. 70 II. In items 5 to 9, answer each item taken from the word problem below. Write your answers on your paper. Imagine that a point is moving along the graph y = 5x2 + 3x. The horizontal rate of change is dx/dt = 3 cm/s. Find its dy/dt when x = -2. 5. The problem is about evaluating its vertical rate of change. True or False? A. True В. False C. Maybe D. Sometimes 13
5:45 4 25% O drive.google.com/drive/ 19 6. Below are the quantities found in the problem except for one. Which item is it? A. x = -2 C. = 3 cm В. у %3D 5x2 + Зх D. x = 5y2 + 3 7. Getting the derivative of the equation, y = 5x? + 3x with respect to time, will result to A. = 10x + 3 c. = 10x + 3at dy B. 2 = 3x + 10 * D. = 3x + 10 dt dt dt 8. From questions 5 to 7, solve the word problem above. Choose the correct answer below, A. -48cm/s С. -50ст/s В. -49ст/s D. -51ст/s 9. The negative sign at the answer in question number 8 denotes an increasing rate. A. True B. False С. Маybe D. Sometimes In items 10 to 13, answer each of the items taken from the word problem below. Write your answer on a sheet of paper. III. A point is moving along the graph, x² + y? = 5. At point (-2,1), its x-coordinate is increasing at the rate of 0.6 unit per minute. How fast is the y-coordinate changing at that moment? (See Figure 5) Figure 5. 14 10.What is asked in the problem? A. derivative of a with respect to t B. derivative of z with respect to t C. derivative of x with respect to t D. derivative of y with respect to t
Transcribed Image Text:5:45 4 25% O drive.google.com/drive/ 19 6. Below are the quantities found in the problem except for one. Which item is it? A. x = -2 C. = 3 cm В. у %3D 5x2 + Зх D. x = 5y2 + 3 7. Getting the derivative of the equation, y = 5x? + 3x with respect to time, will result to A. = 10x + 3 c. = 10x + 3at dy B. 2 = 3x + 10 * D. = 3x + 10 dt dt dt 8. From questions 5 to 7, solve the word problem above. Choose the correct answer below, A. -48cm/s С. -50ст/s В. -49ст/s D. -51ст/s 9. The negative sign at the answer in question number 8 denotes an increasing rate. A. True B. False С. Маybe D. Sometimes In items 10 to 13, answer each of the items taken from the word problem below. Write your answer on a sheet of paper. III. A point is moving along the graph, x² + y? = 5. At point (-2,1), its x-coordinate is increasing at the rate of 0.6 unit per minute. How fast is the y-coordinate changing at that moment? (See Figure 5) Figure 5. 14 10.What is asked in the problem? A. derivative of a with respect to t B. derivative of z with respect to t C. derivative of x with respect to t D. derivative of y with respect to t
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