Question

In: Math

5. Which value of x, with −4 ≤ x ≤ 4, corresponds to the global (absolute)...

5.

Which value of x, with −4 ≤ x ≤ 4, corresponds to the global (absolute) maximum of the functions f(x) = x 2 (3x 2 − 4x − 36) + c, where c is some given real number?

(a) −2 (b) 2 (c) 3 (d) 0 (e) None of the above.

*

14. Find f(x) by solving the initial value problem. f 0 (x) = e x − 2x; f (0) = 2

(a) f (x) = e x − x 2 (b) f (x) = e x − x 2 + 1 (c) f (x) = e x − x 2 + 2 (d) f (x) = e x − x 2 + C (e) None of the above.

*

18. Let f(x, y) = 1 + x + y + x 2 + axy + y 2 be a function of two variables. Suppose it is always true that ∂f /∂x = ∂f /∂y . What is the value of a?

(a) Any value of a is possible since mixed partial derivatives are equal. (b) 0 (c) 2 (d) 1 (e) There is no such value of a since the partial derivatives must be different.

Please provide the correct solution for each problem for a thumbs up. thank you!

Solutions

Expert Solution


Related Solutions

Which mean, standard deviation, and x-value set corresponds to a z-score of -2? a.) x-value =...
Which mean, standard deviation, and x-value set corresponds to a z-score of -2? a.) x-value = 35 mean = 21 standard deviation = 7 b.) x-value = 80 mean = 90 standard deviation = 10 c.) x-value = 50 mean = 60 standard deviation = 5 d.) x-value = 89 mean = 80 standard deviation = 9
f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at...
f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed) The absolute minimum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed)
Find the absolute maximum value and absolute minimum value, if any, of the function g(x) =...
Find the absolute maximum value and absolute minimum value, if any, of the function g(x) = x √(4 − x2) on the interval [−2, 2].
Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2)...
Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2) on the disk D = {(x,y) | x2+y2⩽1}?
Recall that the absolute value |x| for a real number x is defined as the function...
Recall that the absolute value |x| for a real number x is defined as the function |x| = x if x ≥ 0 or −x if x < 0. Prove that, for any real numbers x and y, we have (a) | − x| = |x|. (b) |xy| = |x||y|. (c) |x-1| = 1/|x|. Here we assume that x is not equal to 0. (d) −|x| ≤ x ≤ |x|.
Using Python : Create a 4×5 4 × 5 array ? X with random value. Print...
Using Python : Create a 4×5 4 × 5 array ? X with random value. Print out ? X , as well as the largest value of each column.
Compute the length and absolute value of the following vectors: a. x = [2, 4, 7] b. y = [2, -4, 7] c. z = [5 + 3i, -3 + 4i, 2 - 7i]
Compute the length and absolute value of the following vectors:a. x = [2, 4, 7]b. y = [2, -4, 7]c. z = [5 + 3i, -3 + 4i, 2 - 7i]
What is the absolute max / min value for the function f(x) = x sqrt 1...
What is the absolute max / min value for the function f(x) = x sqrt 1 - x on the interval [ 1 , 1 ]
Determine the location and value of the absolute extreme values of: f(x) = sin (1 /x...
Determine the location and value of the absolute extreme values of: f(x) = sin (1 /x ) on [ 1/5 , 2].
The function ​f(x,y,z)=4x−9y+7z has an absolute maximum value and absolute minimum value subject to the constraint...
The function ​f(x,y,z)=4x−9y+7z has an absolute maximum value and absolute minimum value subject to the constraint x^2+y^2+z^2=146. Use Lagrange multipliers to find these values.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT