Exam Review > Calculus 1 Exam 3. University of Houston MATH 1300. scored 56 out of 56

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PRINTABLE VERSION Test 3 You scored 56 out of 56 Question 1 Give the value of in the interval that satisfies the conclusion of the mean value theorem for none of these Question 2 Let be a ... polynomial function such that . Classify the point . a) local minimum b) intercept c) local maximum d) inflection point 12/18/2017 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 2/7 e) none of the these Question 3 The graph of (the derivative of ) is shown below. At what value of does the graph of have a local maximum? Question 4 An object moves along the - axis and its position is given by the function for . Find the first time at which the particle changes direction. 12/18/2017 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 3/7 f) none of these Question 5 Let , classify the point . a) vertical tangent b) local minimum c) local maximum d) vertical asymptote e) horizontal asymptote f) vertical cusp g) none of these Question 6 The graph of (the second derivative of ) is shown below. Where is concave up? 12/18/2017 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 4/7 g) none of these. Question 7 Let be a polynomial function such that . Find the values for the point(s) of inflection for . a) b) 12/18/2017 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 5/7 Question 8 This is a written question, worth 12 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 883 Find the absolute maximum and absolute minimum values for the function on the interval . a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 9 This is a written question, worth 20 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 935 A function is given below along with both its first and second derivatives. Find the following for this function: (a) the domain (b) the x and y-intercepts (c) any vertical and/or horizontal asymptotes (d) any critical numbers (e) the intervals of increase and/or intervals of decrease (f) any inflection points (g) the intervals of concave up and/or intervals of concave down (h) graph the function and carefully label the x and y-intercepts, local extrema, and point(s) of inflection. 12/18/2017 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 6/7 a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 10 Choose only one of problem 10 or 11. This is a written question, worth 12 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1071 On a morning of a day when the sun will pass directly overhead, the shadow of a 16-ft building on level ground is 12 feet long. At the moment in question, the angle the sun makes with the ground is increasing at the rate of radians/minute. Find the rate of change of the shadow's length. a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 11 Choose only one of problem 10 or 11. This is a written question, worth 12 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1163 An oil tanker slams into the Alaskan coastline. The oil spreads in a circle whose area increases at a constant rate of 4 square miles/hour. How fast is the radius of the spill increasing when the area is 121π square miles? a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. Question 12 This is a BONUS question, worth 5 points. DO NOT place the problem code on the answer sheet. A proctor will fill this out after exam submission. Show all steps (work) on your answer sheet for full credit. Problem Code: 1225 Consider the cubic polynomial , where and are unknown constants. If possible, determine the values of and so that the graph of has a minimum value at and an inflection point at . 12/18/2017 Print Test https://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm 7/7 a) I have placed my work and my answer on my answer sheet. b) I want to have points deducted from my test for not working this problem. [Show More]

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