Let be the function f(x)= (4-x^2)(x^2-2x+2)in the Cartesian plane below. Compute the average rate of change of f (x ) with respect to x for the intervals and

Q: Plot the function f(y) =2y^2 − 2y and f(y)=12y^3-12y^2 and find the total areas of the shaded…

A: Graph of functions

Q: Let f(x)=7cosx what are the x intecepts of f? show as an equation

A: The objective of the question is to find the x-intercepts of the function f(x) = 7cos(x). The…

Q: Define continuous variation

A: Let CV denote Continuous Variation.

Q: Differentiate the function f(t) = t^3 − it^2 when t = 2

A: Here, f(t)=t3-it2⇒f'(t)=3t2-i(2t)⇒f'(t)=3t2-2ti

Q: Let f(x, y) = xex²-y and P = (3,9). Calculate || Vfp||. (Express numbers in exact form. Use symbolic…

A:

Q: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: F(x)=x^3+3x^2+4x+3. Find the slope of the curve at x=2

A:

Q: ind the exact location of all the relative and absolute extrema of the given function: h(t)= 2t^3…

A: find critical point and check sign of double derivative at critical point

Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

A:

Q: Find the deritative of f(x)= 5/x^4 + -7/x^3 - 3/x^2 Then calculate the slope of tangegent at x=-1

A: We find the deritative of f(x)= 5/x^4 + -7/x^3 - 3/x^2   Then calculate the slope of tangegent at…

Q: Define f(x)=2x^4-3x^2 as a Maple function. Find the equation of the tangent line at the point x=2.3.…

A: We have,  fx=2x4-3x2 The derivative of fx is f'x=8x3-6x Slope of tangent line at (2,3) is f'2=8…

Q: At which interval of x is the function of P(x)=(sqrt(1-x^2)) discontinous?

A:

Q: Given f(x) = x^3- 3x^2 – 1. Use the first or second derivative tests to: a) Find the relative…

A: We find the first two derivatives using the power rule