If F(x)=4x7x4cos(t2)+8)dt,whatisF(x)?

Suppose h(x)=f(g(x)). Given the table below, determine h(-1)

x	f(x)	g(x)	f'(x)	g'(x)
-1	1	3	-6	-7
3	-5	4	5	2
5	-4	-4	-4	-5

Evaluate the following indefinite integrallog15tdt Do not include "+C" in answer.

Determine the maximum area of a rectangle in this elipse 36x2+9y2=1. Provide answer in square units.

Find the linear approximation of the fuction below at x=-1 and use it to appropriate f(-0.8)

f(x)= 3x+17x3

L(-0.8)=

Evaluate the indefinite integralx3x34xdx

do not include "+C" in answer

Find the value of the following definite integral;

24x+89dx

Leave answer in exact form. For example 3(In6-In4).

Evaluate the following indefinite integral 5t5cos(t6)dt. Do nit include "+C" in answer.

Evaluate the following indefinite integral99x22dx

Evaluate the following antiderivative7x5(x6+7)9dx

Evaluate the definite integral2235cos(x)sin3(x)dx

Find the average value of f(x) over the interval [-7,8] given that f(x)=6x-4. Enter answer as an exact fraction if necessary.

A truck starts off 209 miles directly west from the city of Uniontown. It travels due north at a speed of 62 miles per hour. After traveling 176 miles, how fast is the distance between the truck and Uniontown changing? Round answer to nearest hundreth, and provide answer in miles per hour.