5. Let h'(x) = -1 2 x-2 Solve for h if h is continuous and h(0) = 0. for 0

Q: Given h(x)=−2x^2+x+1, find the absolute maximum value over the interval [−3,3].

A: Find h'(x) to find the critical points.The x-coordinate for critical point is (1/4).

Q: Two commercial airplines are flying at an altitude of 40,000 feet along straight-line courses that…

A: It is given that both planes intersect at right angles.So, we can use the pythagorean theorem to…

Q: Suppose that 2 <f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: Using Mean Value Theorm.

Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

A:

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: if f(x)={ -3x       for x -1  find f(-2)  a. -6 b.9 c.6  d.-1 e.0

A:

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: If f(2) = 5 and f'(x) ≥ 2 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ► 20 X

A:

Q: If f(x)=x'2-2x+7 evaluate f(-5)

A: To find f(-5).

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

A:

Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5]. O f(4)=0.31,…

A:

Q: If f(x)=x^2−14x+49 is true for x≥7, find f^-1(x)

A:

Q: 1- x 5. dx VI - r

A:

Q: If f (x) = 6x + 9x² – 35x + 36, find the intervals on which f' (x) > 1. O x2 2 or x l or x < -1 O x2…

A:

Q: 5. f(x) = -, -2 < xS 2

A: Since you have asked multiple questions in single request,  So we will be answering only first…