Help solve this question.

Help solve this question.

F(x) = ∫[1,x] Ln(t2)dt. Use your calculator to find F '(3) A. 2.197 B. 2.079 C. 1.099 D. 0.693

Which of the following functions grows the fastest as x goes to infinity? f(x) = ex f(x) = log3 (x) f(x) = x1000 f(x) = 2x

Which of the following functions grows the fastest as x goes to infinity? f(x) = ln(x) f(x) = log2(x) f(x) = x2 f(x) = 2x

The table of values below shows the rate of oil consumption in gallons per minute at selected time intervals from t = 0 to t = 12. Using a left Riemann sum with 5 subintervals estimate the total...

A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its velocity v(t) given in the table below. Use a right hand sum with 4 intervals...

The function f is continuous on the interval [3, 11] with some of its values given in the table below. Use the data in the table to approximate f '(4). (2 points) x 3...

The function f is continuous on the interval [2, 10] with some of its values given in the table below. Use a trapezoidal approximation with 4 trapezoids to approximate Int[2,10] f(x)dx. x...

Use the graph of f(t) = 2t + 4 on the interval [-4, 6] to write the function F(x), where F(x) = Int[2,x] f(t)dt

Find the range of the function F(x) = Int[-4,x] √(16-t^2)dt

Pumping stations deliver oil at the rate modeled by the function D, given by D(t) = 5t/(1+3t) with t measure in hours and D(t) measured in gallons per hour. How much oil will the pumping stations...

Let F(x) = Int[0,2x] tan(t^2)dt. Use your calculator to find F"(1).

This is for my AP Calculus class and i need a little help on it,

The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true? The graph of f has a relative maximum at x=0 The graph of...

Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for Int [0,4] x2dx.

The table below gives selected values for the function f(x). Use a trapezoidal estimation, with 6 trapezoids to approximate the value of Int[1,2] f(x)dx. Table x ...

1. a) Solve the differential equation y' = 4x√(1-y2). b) Explain why the initial value problem y' = 4x√(1-y2) with y(0) = 4 does not have a solution. 2. Using 4 equal-width...

1. Write and then solve for the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y2." 2. Solve the differential...

An object has a constant acceleration of 30 ft/sec^2, an initial velocity of -10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object.&nb...

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 - 16x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem...