10. -/1 POINTS TANAPCALC10 6.R.062. Find the average value of the function f(x) = V x2...
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 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □
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
Find the average value fave of the function f on the given interval. f(x) = x2/(x3 + 6)2, [-1, 1] fave =
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].
9. [-/1 Points] DETAILS TANAPCALC10 6.2.051. Find the function f given that the slope of the tangent line at any point (x,x)) is f(x) and that the graph of fpasses through the given point. 1x) - 6(2x - S Need Help? Watch Toate Tutor Submit Answer
21. [-14 Points] DETAILS TANAPCALC10 8.R.037. Use the method of Lagrange multipliers to optimize the function subject to the given constraints. Find the maximum and minimum values of the function f(x, y) = 2x – 3y + 1 subject to the constraint 2x2 + 3y2 – 320 = 0. At what point does the maximum occur? (x, y) = =( What is the value of f(x, y) at this point? f(x, y) = At what point does the minimum occur?...
7. [0/1 Points] DETAILS PREVIOUS ANSWERS TANAPCA Find the average value of the function f over the interval [0, 2). f(x) = 7e- Х Need Help? Read It Talk to a Tutor
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...
8) Find the average rate of change for the function f(x) = -x2 + 6x on the interval [3,5).
(1 point) Find the average value of : f(x) = 6/ on the interval [1, 36). Average value =