Problem 1. (6 points) Find the most general antiderivative for the function 5x2 + 3x 3. Note: Don't enter the +C . It's included for you. Antiderivative = + C. Problem 2. (6 points) d . Find the most general antiderivative for the function [1) : 42" + 3. I Note: Don't enter the +C . It's included for you. Antiderivative = + C. Problem 3. (6 points} 6 Find the most general antiderivative for the function (514 7 75 i 3) . .3: Note: Don't enter the +C . It's included for you. Antiderivative = + C. Problem 4. (6 points) A particle is moving as given by the data below: 120) = 4sin(t) A 5cos(t); s[0) : 0 5(1') : Problem 5. (6 points} Find the particular antiderivative that satises the following conditions: dv -:44' -0 :6. (1X I. H) Problem 6. (6 points) Find the particular antiderivative that satisfies the following conditions: dx 50 dt Vi x(1) = 80. X = Problem 7. (6 points) Find the particular antiderivative that satisfies the following conditions: dx dy _ 7x 2 + 5x-1 -5; y(1) = 7. y= Problem 8. (6 points) Given f" (x) =4x -2 and f'(0) = 0 and f(0) = 6. Find f'(x) = and find f (3) = _ Problem 9. (1 point) Find the most general antiderivative for the function 3 - 6Vx2. Antiderivative = ? Problem 10. (1 point) Consider the function f(x) =- 7 6 Let F(x) be the antiderivative of f (x) with F(1) = 0. Then F (5) = Generated by @WeBWork, http://webwork.maa.org, Mathematical Association of AmericaProblem 6. (6 points) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of lmfs, how fast is the area of the spill increasing when the radius is 55m? Answer (in Ina/s): Problem 7. (6 points) Sketch the graph of the following function and use it to determine the following limits. If a limit does not exist, type DNE. x75, forxgil f(x)= x2+1, for711