9. Find the average value of f(x) = 3x2 - 2x on the interval [1,4]. (8...
2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from x = 1 to x = 3 b. Find the equation of the secant line containing the points (1.f (1)) and (3,f(3)) c. Find the derivative of the function at the point x = 3 and determine the equation of the tangent line at that point.
What is the average value of the function f(x) = lnm on [1,4]? O A. 0.3034 OB. 0.3203 OC. 0.3402 OD. 0.3624 O E. 0.3802 If $3° f (x)dx = }, what is Sz" (f (x) + 4.)dx? o A. 73 0 0 0 OD. O E. - 31 If Sö eºdx = e2 – 1, what is Sze7-3dx? O A. e2 - 1 OB. e3 - 1 OC. e5 - 1 o D. et O E. 1] (e2 -...
QUESTION 9 Find the value of the integral exactly. No decimals. 5 1 3x2 - 2x + dx Х 3x
4. Let f(x) = (in x)? (a) Find the average value of f on the interval (1, e]. (Hint: use integration by parts.) (b) Find the value c such that f(c) equals the average value found in part (a).
[6 points] Suppose that f'(x) = 3x2 + 2x + 7 and f(1) = 11. Find the function f(x). Of(x) = x3 + x2 + 7x + 11 Of(x) = x3 + x2 + 7x + 2 Of(x) = 6x + 5 Of(x) = x3 + x2 + 9 10. V MY NOTES [6 points] Find the integral: 15x3/2 + 21n|x[ + c 10 x3/2 + 2\n\xl + C O 5x1/2 - + c şx-1/2 - + c
6. Find the average value for of the function f(x) = cost over the interval [0.21] and find c such that f(c) equals the average value of the function over [0, 2x].
Consider the following. f(x) = - *** + 3x3- 1/3 - 3x2 + 8 Find f'(x). f'(x) = Find F"(x). f"(x) = Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) X = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using interval notation.) Locate the points of inflection. (If an answer...
Problem #4: Find the average value of the following function: p(x) = 3x2 + 6x + 3 on the interval 1<x< 7. Problem = 4: Save Your work has been saved! (Back to Admin Page) Problem #5: You are given the following pieces of information: 54 år = -75. I 14 år = -32. $ * rcm) = 82. What is the value of [* f(x) dx ? (Note: When solving this problem, take careful note of the lower and...
=3. (2 points) Let f(x) dx (a) What is the average value of f(x) on the interval from x = 0 to x = 4? average value - (b) If f(x) is even, find each of the following: 1-4 f(x) dx = the average of f(x) on the interval x--4 to x 4 = (c) If f(x) is odd, find each of the following: 1-4 f(x) dx = the average of f(x) on the interval x =-4 to x =...
Use the given definition to find f(A): If R(x) = 40 + 2x + 3x2 + ... + ant" is a polynomial function, then for a square matrix A, RA) = aol + A +1242 + + F(x) = 4 - 9x + x? --13] VA) 11