13 Suppose that f(x) dx = -4 = , 29(x) da. If k is a constant...

 

Transcribed Image Text:

13 Suppose that f(x) dx = -4 = , 29(x) da. If k is a constant and f-2f(x) + kg(x)] da = -3, then k = (a) 11 (b) -11/4 (c) 11/4 (d) 11/2 (e) none of these Question 14 1 1 1 1 lim n-00 Vn + Vn V2+ Vn' V3+ Vn (c) So TVE Vn + Vn] (a) Si de (b) 0 (d) fo dr (e) none of these Question 15 Let u be a constant and let f(r) = e-(r² + u). Suppose that f is decreasing on (-oo, o0). Then (a) u <0 (b) 0 <u <1 (c) u 21 (d) u <-1 (e) none of these Question 16 Suppose that g(1) = 0 and g is continuous on R. Let f(r) = (x - 2)(r- 3)g(r). Then the equation f'(x) = 0 has how many solutions? (a) exactly one (b) exactly two (c) at most three (d) two or more (e) none of these Question 17 Suppose that f'(r) = for all real numbers r. The maximum value of f on [1, 0) is %3D +r+1 (a) f(2) (b) lim-x f(r) (c) f(1/2) (d) f(1) (e) none of these Question 18 There are two lines passing through the point (5,-1) that are tangent to the parabola y = -r2+4r. What is the slope of the line with the larger slope? (a) -4 (b) -3 (c) -2 (d) -1 (e) none of these Question 19 Suppose that f is continuous on [1,5] and f(r) 20 if and only if 2 <a < 3. If 1S(2)| dr = f(x) d.r = IS(x)| dr = 1, %3D then f(x) dr = (a) 3 (b) 2 (c) 1 (d) -1 (e) none of these 13 Suppose that f(x) dx = -4 = , 29(x) da. If k is a constant and f-2f(x) + kg(x)] da = -3, then k = (a) 11 (b) -11/4 (c) 11/4 (d) 11/2 (e) none of these Question 14 1 1 1 1 lim n-00 Vn + Vn V2+ Vn' V3+ Vn (c) So TVE Vn + Vn] (a) Si de (b) 0 (d) fo dr (e) none of these Question 15 Let u be a constant and let f(r) = e-(r² + u). Suppose that f is decreasing on (-oo, o0). Then (a) u <0 (b) 0 <u <1 (c) u 21 (d) u <-1 (e) none of these Question 16 Suppose that g(1) = 0 and g is continuous on R. Let f(r) = (x - 2)(r- 3)g(r). Then the equation f'(x) = 0 has how many solutions? (a) exactly one (b) exactly two (c) at most three (d) two or more (e) none of these Question 17 Suppose that f'(r) = for all real numbers r. The maximum value of f on [1, 0) is %3D +r+1 (a) f(2) (b) lim-x f(r) (c) f(1/2) (d) f(1) (e) none of these Question 18 There are two lines passing through the point (5,-1) that are tangent to the parabola y = -r2+4r. What is the slope of the line with the larger slope? (a) -4 (b) -3 (c) -2 (d) -1 (e) none of these Question 19 Suppose that f is continuous on [1,5] and f(r) 20 if and only if 2 <a < 3. If 1S(2)| dr = f(x) d.r = IS(x)| dr = 1, %3D then f(x) dr = (a) 3 (b) 2 (c) 1 (d) -1 (e) none of these