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Suppose we are investigating max./min. behavior of a function (1). We...
please help Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10)....
please help
Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10). a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second deriv...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second derivative of f(x) (b) (2 pts) Confirm that x =-1 is a critical point of f(x). (Evaluate f'(-1), and make a conclusion. (c) (4pts) Use the second derivative test to classify -1 as a local max. or a local min. If the second derivative test is inconclusive, then say so....
3) (12pts) For the function S(w)=-*+r-15x a) Determine the criticul points for the function. The critical...
3) (12pts) For the function S(w)=-*+r-15x a) Determine the criticul points for the function. The critical point(s) for the function are at: b) Determine the local cxtrema using the first or second derivative test. Fill in the blanks below with the appropriate critical number. If there is no max or min mark the blank with NA (not applicable). Be sure to show all work when using cither derivative test to carn full credit. Local Maximum(s): Local Minimum(s): 3) Using the...
please help Perform a first derivative test on the function f(x)=xw/36 - x2:1-6,6). a. Locate the...
please help
Perform a first derivative test on the function f(x)=xw/36 - x2:1-6,6). a. Locate the critical points of the given function b. Use the first derivative test to locate the local maximuri and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist): a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within your choice. O...
(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = ...
(a) Find the critical numbers of the function f(x) = x6(x − 1)5. x = (smallest value) x = x = (largest value) (b) What does the Second Derivative Test tell you about the behavior of f at these critical numbers? At x = , the function has a local minimum (c) What does the First Derivative Test tell you that the Second Derivative test does not? (Enter your answers from smallest to largest x value.) At x = ,...
1. Suppose that f(x) has a critical number at x=c, and f′′(c)=−10 By the Second Derivative...
1. Suppose that f(x) has a critical number at x=c, and f′′(c)=−10 By the Second Derivative Test, we conclude A. the test is inconclusive. B. x=c is an inflection point C. x=c is a local (relative) minimum D. x=c is a local (relative) maximum E. x=c is an absolute minimum Question 4 of 10 3 Points What follows is a numeric fill in the blank question with 2 blanks. Find the absolute maximum and minimum value of the function f(x)=0.5x^4+(4/3)x^3−3x^2+4...
(1 point) Find the critical points of f(x) and use the Second Derivative Test of possible)...
(1 point) Find the critical points of f(x) and use the Second Derivative Test of possible) to determine whether each corresponds to a local minimum or maximum. Let f(x) = x exp(-x) e lest ? Critical Point 1 - Critical Point 2 - is what by the Second Derivative Test? is what by the Second Derivative Test?
What does the Second Derivative Test guarantee about the point x=2 of the function f(x) =...
What does the Second Derivative Test guarantee about the point x=2 of the function f(x) = .0001(x - 2)4? The point x=2 is a local maximum The point x=2 is a local minimum. The point x=2 is an inflection point. The point x=2 is not a critical point. The Second Derivative Test does not apply to x=2.
I cannot figure out the first set of critical points and classifications. (1 point) The following...
I cannot figure out the first
set of critical points and classifications.
(1 point) The following table gives values of the differentiable function y = f(x). X 0 1 2 3 4 5 6 7 8 9 10 y 1 -1 -3 -2 1-1 -2 123 5 Estimate the x-values of critical points of f(x) on the interval 0<x< 10. Classify each critical point as a local maximum, local minimum, or neither. (Enter your critical points as comma-separated xvalue,classification pairs....
please help A rectangular area adjacent to a river is to be fenced in, but no...
please help
A rectangular area adjacent to a river is to be fenced in, but no fencing is required on the side by the river. The total area to be enclosed is 67,712 square feet. Fencing for the side parallel to the river is $2 per linear foot, and fencing for the other two sides is $8 per linear foot. The four comer posts cost $15 aplece. Let z be the length of the one the sides perpendicular to the...
please help
Perform a first derivative test on the function f(x) = x 100 - x2:1-10,10). a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second derivative of f(x) (b) (2 pts) Confirm that x =-1 is a critical point of f(x). (Evaluate f'(-1), and make a conclusion. (c) (4pts) Use the second derivative test to classify -1 as a local max. or a local min. If the second derivative test is inconclusive, then say so....
3) (12pts) For the function S(w)=-*+r-15x a) Determine the criticul points for the function. The critical point(s) for the function are at: b) Determine the local cxtrema using the first or second derivative test. Fill in the blanks below with the appropriate critical number. If there is no max or min mark the blank with NA (not applicable). Be sure to show all work when using cither derivative test to carn full credit. Local Maximum(s): Local Minimum(s): 3) Using the...
please help
Perform a first derivative test on the function f(x)=xw/36 - x2:1-6,6). a. Locate the critical points of the given function b. Use the first derivative test to locate the local maximuri and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist): a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within your choice. O...
(1 point) Find the critical points of f(x) and use the Second Derivative Test of possible) to determine whether each corresponds to a local minimum or maximum. Let f(x) = x exp(-x) e lest ? Critical Point 1 - Critical Point 2 - is what by the Second Derivative Test? is what by the Second Derivative Test?
What does the Second Derivative Test guarantee about the point x=2 of the function f(x) = .0001(x - 2)4? The point x=2 is a local maximum The point x=2 is a local minimum. The point x=2 is an inflection point. The point x=2 is not a critical point. The Second Derivative Test does not apply to x=2.
I cannot figure out the first
set of critical points and classifications.
(1 point) The following table gives values of the differentiable function y = f(x). X 0 1 2 3 4 5 6 7 8 9 10 y 1 -1 -3 -2 1-1 -2 123 5 Estimate the x-values of critical points of f(x) on the interval 0<x< 10. Classify each critical point as a local maximum, local minimum, or neither. (Enter your critical points as comma-separated xvalue,classification pairs....
please help
A rectangular area adjacent to a river is to be fenced in, but no fencing is required on the side by the river. The total area to be enclosed is 67,712 square feet. Fencing for the side parallel to the river is $2 per linear foot, and fencing for the other two sides is $8 per linear foot. The four comer posts cost $15 aplece. Let z be the length of the one the sides perpendicular to the...
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