Question

Consider the function: f(x)=7x^5−ax^7 where a is a constant. Find the value of a such that...

Consider the function: f(x)=7x^5−ax^7 where a is a constant. Find the value of a such that f(x) has a local minimum at x=1 ? Which of the following lists contains this value of a ?

- 3, 4, 5 , 6, 7

-20, 21, 22 , 23, 24

-29, 30, 31, 32, 33

- -7,-6,-5, -4, -3

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Since function has local maximum at , function has critical point at

Therefore

The list containing value of a is given by

- 3, 4, 5 , 6, 7

-----------------------------------------------------------------

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the instantaneous rate of change of the function f(x)=7x^3+7 at x=5. Show your work.
Find the instantaneous rate of change of the function f(x)=7x^3+7 at x=5. Show your work.
Person number X Value Y Value Person number X Value Y Value Person number X Value...
Person number X Value Y Value Person number X Value Y Value Person number X Value Y Value 1 24 30 11 39 42 21 21 27 2 42 53 12 60 65 22 33 29 3 20 27 13 34 40 23 25 27 4 31 30 14 24 26 24 22 25 5 22 24 15 51 57 25 28 33 6 46 47 16 80 83 26 34 40 7 52 60 17 28 27 27 53...
Given the function f (x, y) = ax^2 2 + 2xy + ay.y 2-ax-ay. Take for...
Given the function f (x, y) = ax^2 2 + 2xy + ay.y 2-ax-ay. Take for a an integer value that is either greater than 1 or less than -1, and then determine the critical point of this function. Then indicate whether it is is a local maximum, a local minimum or a saddle point. Given the function f (x, y) = ax^2 +2 + 2xy + ay^2-2-ax-ay. Take for a an integer value that is either greater than 1...
1. Find the constants a and b so that the function f is continuous, where f(x)...
1. Find the constants a and b so that the function f is continuous, where f(x) =(ax^2 + bx if x <=1 or x > 2; (7x+4) 3 if 1 < x <= 2
____________________________________________ The results of a sample of 372 subscribers to Wired magazine shows the time spent...
____________________________________________ The results of a sample of 372 subscribers to Wired magazine shows the time spent using the Internet during the week. Previous surveys have revealed that the population standard deviation is 10.95 hours. The sample data can be found in the Excel test data file. What is the probability that another sample of 372 subscribers spends less than 19.00 hours per week using the Internet? ____________________________________________ Develop a 95% confidence interval for the population mean ____________________________________________ If the editors...
The results of a sample of 372 subscribers toWiredmagazine shows the time spent using the Internet...
The results of a sample of 372 subscribers toWiredmagazine shows the time spent using the Internet during the week. Previous surveys have revealed that the population standard deviation is 10.95 hours. The sample data can be found in the Excel test data file. What is the probability that another sample of 372 subscribers spends less than 19.00 hours per week using the Internet? Develop a 95% confidence interval for the population mean If the editors of Wiredwanted to have the...
53) Consider the function f(x) whose second derivative is f''(x)=7x+5sin(x). If f(0)=2 and f'(0)=4, what is...
53) Consider the function f(x) whose second derivative is f''(x)=7x+5sin(x). If f(0)=2 and f'(0)=4, what is f(3)f?
Consider the function f(x) = −x3 + 4x2 + 7x + 1. (a) Use the first...
Consider the function f(x) = −x3 + 4x2 + 7x + 1. (a) Use the first and second derivative tests to determine the intervals of increase and decrease, the local maxima and minima, the intervals of concavity, and the points of inflection. (b) Use your work in part (a) to compute a suitable table of x-values and corresponding y-values and carefully sketch the graph of the function f(x). In your graph, make sure to indicate any local extrema and any...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing     decreasing   question#2: Consider the following function. f(x) = 2x + 1,     x ≤ −1 x2 − 2,     x...
The function f(x) = x^3+ax^2+bx+7 has a relative extrema at x = 1 and x =...
The function f(x) = x^3+ax^2+bx+7 has a relative extrema at x = 1 and x = -3. a.) What are the values of a and b? b.) Use the second derivative test to classify each extremum as a relative maximum or a relative minimum. c.) Determine the relative extrema.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT