The function f that satisfies f'(x) = 3x2 +1, f(2)=5 is Select one: a. f(2)=23+ O b. f(x) = 2 + 1 - 5 O c. f(x)=x3 ++2 d. f(x) = 3x2 – 7 O e. None of these. Let f(2) be a function that is continuous on 1, 7] with f(1) =3 and f(7) = 9. Then the Intermediate Value Theorem guarantees that Select one: O a. f'(2)=1 has at least on solution in the open interval (1,7). O...
This Qu Sketch a possible graph of a function that satisfies the conditions below. - 1) = -2; im f(x)2, limfx)=2 Choose the correct graph below OA Ос. OD Find the indicated limit. lim X+1 V 9x - 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim V9x - 4 = (Type an exact answer, using radicals as needed.) X-1 O B. The limit does not exist.
1. (a) If y )Fx), and y satisfies the initial conditions y(O)o and y(O) o, show that [Notice that yc)F) and use (10),) (b) Verify that this expression satisfies the prescribed differential equation and initial conditions. 1. (a) If y )Fx), and y satisfies the initial conditions y(O)o and y(O) o, show that [Notice that yc)F) and use (10),) (b) Verify that this expression satisfies the prescribed differential equation and initial conditions.
7. Find the function f(t) that satisfies the equality f(t)dt = x-COS x + 1. 7. Find the function f(t) that satisfies the equality f(t)dt = x-COS x + 1.
Let f(x) = 4e* +3+e? f'(0) = Preview Points possible: 1 This is attempt 1 of 1. If f(x) = sin(zº), find f'(x). Preview Find f'(1). Preview Points possible: 1 This is attempt 1 of 1. If f(x) = sinº x, find f'(x). Preview Find f'(1) Preview Points possible: 1 This is attempt 1 of 1. If f(x) = tan 52, find f'(x). Preview Find f'(3). Preview Points possible: 1 This is attempt 1 of 1. Let f(x) = 3...
centered at a = 1. Find T(x), the third Taylor polynomial of f (x) = 10. a. b. IfTs (x) is used to estimate f(x) for x E L.9,1.t], use IR3 (x)l to find the largest possible error that can result. centered at a = 1. Find T(x), the third Taylor polynomial of f (x) = 10. a. b. IfTs (x) is used to estimate f(x) for x E L.9,1.t], use IR3 (x)l to find the largest possible error that...
Sketch a graph of a function f(x) that satisfies each of these conditions. f (x) has a jump discontinuity at x = -3, and a displaced point at x = -1 f (x) is continuous on lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o
1. (20 points) The second derivative of a function f(x) satisfies f "(x) = 10x4 - 2 Moreover, f'(0) = 0 and f(1) = 0. (a) Find the function f(x). (b) Draw a graph of f(x). Indicate all asymptotes (if any), local maxima and minima, inflection points, intervals where f(x) is increasing, and intervals where f(x) is concave upward.
Suppose f is a function that satisfies the equation f (x + y) = f (x) + f(y) + xºy + xy2 + xyz + xy for all real numbers x and y. Suppose also that f(x) lim = -1. Find f' (a). Show your work in 30 the PDF version of the test. 2
Find the number c that satisfies the conclusion of th f(x) = e-2x [0,3] Submit Answer Practice Another Version