Find the average value of the function f(x) =x2-5 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □ Find the average value of the function f(x) =x2-5 fr...
Find the average value fave of the function f on the given interval. f(x) = x2/(x3 + 6)2, [-1, 1] fave =
3. Consider the function f(x) = x2 - 6x^2 - 5 a. Find the values of x such that f'(x) = 0. b. Use the results of part a to: find interval(s) on which the function is increasing and interval(s) on which it is decreasing. c. Find the value(s) of x such that f"(x)=0. d. Use the result of part c to find interval(s) on which f(x) is concave up and interval(s) on which it is concave down. e. Sketch...
10. -/1 POINTS TANAPCALC10 6.R.062. Find the average value of the function f(x) = V x2 + 36 over the interval [0, 8]. 114
Find the average rate of change of the function f(x)=from x1 = 4 to x2= 64.
Consider the following function. f(x) = x2 + 5x − 6 Find the average rate of change of the function over the interval [0, 1]. Change in y/change in x = Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(0) = f '(1) = Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 455 + 6.75x2/3 dC/dx = dollars per unit
Let f(x) be a quadratic function such that f(0)=?4 and ?f(x)/x2(x+3)^6dx is a rational function. Let f(x)| be a quadratic function such that f(0) = -4| and integral f(x) / x^2(x + 3)^6 dx| is a rational function. Determine the value of f'(0)|.
Let f(x) = k(5x − x2) if 0 ≤ x ≤ 5 and f(x) = 0 if x < 0 or x > 5. (a) For what value of k is f a probability density function? k = ______ (b) For that value of k, find P(X > 1). P(X > 1) = _______ (c) Find the mean. μ =________ Please show all work neatly, line by line, and justify steps so I can learn. Thank you!
Find the average rate of change of the function f(x)=x+ + 8x from x1 = 1 to x2 = 5. The average rate of change is (Simplify your answer.)
8) Find the average rate of change for the function f(x) = -x2 + 6x on the interval [3,5).
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...