Info
Warning
Danger

Study Resources (Calculus)

4.4 Concavity and the Second Derivative Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the open intervals on which the graph of f(x) = 3x2 + 7x – 3 is concave downward or concave upward a. concave downward on (-?, ?) b. concave upward on (-?,.
2 Views
View Answer
4.3 Increasing and Decreasing Functions and the First Derivative Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Use the graph of the function given below to estimate the open intervals on which the function is increasing or decreasing. a. increasing on (-?, -2) and (2, ?);.
2 Views
View Answer
  16. Find all relative extrema of the function f(x) = 2x4 – 32x3 + 4. Use the Second Derivative Test where applicable. a. relative max:(24,221188); no relative min b. relative min:(12,-13820); no relative max c. relative min(24,221188); no relative max d. relative max:(12,13820); no relative min e. no relative max or min 17. Find all relative.
2 Views
View Answer
6. Approximate the positive zero(s) of the function f(x) x3 – cos xto three decimal places. Use Newton's Method and continue the process until two successive approximations differ by less than 0.001. a. -0.967 b. 0.865 c. 0.842 d. -0.865 e. 0.916 7. Use Newton´s Method to approximate the x-value of the indicated point of intersection.
2 Views
View Answer
4.5 Limits at Infinity Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Match the function with one of the following graphs. a. b. c. d. e. 2. Match the function with one of the following graphs. a. b. c. d. e. 3. Match the function with one of.
2 Views
View Answer
3.5 Implicit Differentiation Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find by implicit differentiation. x2 + y2 = 25 a. b. c. d. e. 2. Find by implicit differentiation. a. b. c. d. e. 3. Find by implicit differentiation given that a. b. c. d..
2 Views
View Answer
Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the value of the derivative (if it exists) of the function at the extremum point (0,0) a. 1/8 b.-1/8 c.-1 d. 0 e. 1 2. Find the value of the derivative (if it exists) of at the indicated extremum a. b. c..
2 Views
View Answer
3.2 Basic Differentiation Rules and Rates of Change Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the derivative of the function. f(x) = x4 a. f’(x) = 4x4 b. f’(x) = 3x3 c. f’(x) = 4x5 d. f’(x) = 3x5 e. f’(x) = 4x3 2. Find the derivative of the function. a. b..
2 Views
View Answer
11. Find the limit. a. -3/32 b.-3/4 c. 1 d. -6 e. -? 12. Find the limit. a. 7/8 b. 7/64 c. 1 d. 7 e. ? 13. Sketch the graph of the function using any extrema, intercepts, symmetry, and asymptotes. a. b. c. d. e. 14. Sketch the graph of the function using any extrema, intercepts, symmetry, and asymptotes. a. b. c. d..
2 Views
View Answer
3.8 Newton's Method Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Complete two iterations of Newton's Method for the function f(x) = x2 – 7 using the initial guess 2.6. Round your answers to four decimal places. a. b. c. d. e. 2. Complete two iterations of.
2 Views
View Answer