ider the function. (Objective 3) f(x) x - 5 (a) Find f-1 f-1x) (b) Determine whether...
14. Find the inverse function of f(x) = (x-5)3 f-1x= 3x -5 f-1x= 3x +5 f-1x= x+5 f-1x= 3x +125 f-1x= 3x -125 15. Find the center and the radius of the circle (x-4)2+(y+3)2 =64. (4, -3), r = 8 (-3, 4), r = 8 (-4, 3), r = 64 (-3, -4), r = 64 (-4, -3), r = 64
Find f such that the given conditions are satisfied. f'(x)=x-5, f(3) = 3 O A. 1x) = + 5x+ OB. f(x)=x2 -5% O c. f(x)=x2 –5x+9 OD. 1x) = -5x +
find critical points 3. Find the critical points of each function below. Determine whether each critical point is a relative maximum, relative minimum, or neither (a) f(x) = x3 - 6x +1 23 - 2x2 - 6x - 4 (b) g(x) = ? c2-3
Problem # 1: Let 3-1x< . f(x) 7x 0 x1 The Fourier series for f(x). (an cosx bsinx f(x) n1 is of the form f(x)Co (g1(n,x) + g2(n, x) ) n-1 (a) Find the value of co. (b) Find the function gi(n,x) (c) Find the function g(n, x) Problem #2 : Let f (x ) = 8-9x, - x< I Using the same notation as n Problem #1 above, (a) find the value of co- (b) find the function g1(n,x)....
part a and b a. Determine whether the Mean Value Theorem applies to the function f(x) x+ on the interval(-4,-3) b. If so, find or approximate the point(s) that are guaranteed to exist by the Mean Value Theorem a. Choose the correct answer below O A. No, because the function is not continuous on the interval (-4,-3), and is not differentiable on the interval (-4,-3). OB. No, because the function is differentiable on the interval (-4,-3), but is not continuous...
(5) For the following function, f(x) = -3r+30x+4 (a) Find the vertex (b)Determine whether there is a maximum or minimum value. Find that value (c) Make a rough sketch of the graph showing the point where the maximum or minimum value lies (d) Find the range (e) Find the intervals on which the function is increasing and the intervals on which the function is decreasing.
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...
For the function, f(x)#x3-7, determine whether it is one-to-one. If the function is one-toone, fnd a formula for the inverse Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. Yes, the function is one-to-one. The inverse function is f (x)- O B. No, the function is not one-to-one. For the function, f(x)#x3-7, determine whether it is one-to-one. If the function is one-toone, fnd a formula for the inverse Select the...
Determine whether the function is an exponential function. 1) -2x A) No B) Yes 2) 4-x A) Yes B) No 7 A) Yes B) No
3.1.41 a. Consider the function f(x) = -2x + 12x - 6. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. Identify the function's domain and its range. a. The function has a value c. Click to select your answer(s) and then click Check Answer. parts Clear All remaining BO F3 F2 FO F5 &