Are You Ready forÊlculus II Review Quiz


ARE YOU READY FOR CALCULUS II ?

1. If f(x) = sinx, g(x) = cos(x), h(x) = tan(x), then the functions with period 2Ï€ are:

(A) f(x) (B) g(x), h(x) (C) h(x) (D)f(x), g(x) (E) f(x), h(x) D

2. The exact value of Cos( 5Ï€ /4) is B

(A) 0x01 graphic
(B) 0x01 graphic
(C) 0x01 graphic
(D) 0x01 graphic

3. If log 10(x) + log 10( x +3) = 1 then x = C

(A) -5,2 (B) -5 (C) 2 (D) 5, -2

4. Solve for y: log 10(y + 1) = x2 D

(A) y = x2/log - 1 (B) y = (10x)2 (C) y = x2-1 (D) 0x01 graphic

5. 0x01 graphic
= A

(A) 1 (B) 0 (C) -2 (D) -1

6. 0x01 graphic
= C

(A) 0 (B) -∞ (C) +∞ (D) 0x01 graphic

7. Which is the graph of ln(x)? A

(A) 0x01 graphic
(B) 0x01 graphic
(C)0x01 graphic

8. If f(x) = ( 1- x2)(x + 1)4, then f '(x) = D

(A) -8x (x +1)3 (B) 4(1- x2)(x +1)3 + 2x(x + 1)4

(C) 4(1- x2)(x + 1)3 (D) 4(1-x2)(x +1)3 - 2x(x + 1)4

9. If 0x01 graphic
then, f '(x) = D

(A)0x01 graphic
(B)0x01 graphic
(C) -12x (D)0x01 graphic

10. If 0x01 graphic
, then f '(x) = A, C

(A) 0x01 graphic
(B)0x01 graphic
(C) -(1-2x)-1/2 (D) (1-2x)-1/2

11. f(x) = sin(2x) + tan(x), then f '(x) = A

(A) 2cos(2x) + 1/cos2(x) (B) cos(2x) + 1/cos2(x)

(C) sin(x)cos(x) + 1/cos2(x) (D) -2cos(2x) + 1/sin2(x)

12. Find y' for y = cos3(2x) B

(A) -3sin2(2x) (B) 6cos2(2x)sin(2x)

(C) -6cos2(2x)sin(2x) (D) 3cos2(2x)

13. If f '(x) < 0 on (-1, ∞), then on (-1, ∞) f(x) is D

(A) concave (B) convex (C) increasing (D) decreasing

14. If f ''(x) < 0 on (-1, ∞), then on (-1, ∞) f(x) is A

(A) concave (B) convex (C) increasing (D) decreasing

15. Suppose f ''(x) > 0 on (-∞, 1) and f ''(x) < 0 on (1, 3)

and f ''(1) = 0, then x = 1 is a C

(A) local minimum (B) local maximum

(C) inflection point (D) information is inconclusive

16. 0x01 graphic
C

(A)0x01 graphic
0x01 graphic
(B) 0x01 graphic

(C)0x01 graphic
(D) 0x01 graphic

17. 0x01 graphic
D

(A)0x01 graphic
(B)18 (C)0x01 graphic
(D)0x01 graphic

18. 0x01 graphic
B

(A) 0x01 graphic
(B) 0x01 graphic

(C)0x01 graphic
(D) 0x01 graphic

19. 0x01 graphic
A

(A) 0x01 graphic
(B) 0x01 graphic

(C) 0x01 graphic
(D) 0x01 graphic

19. If t = sinx, then B

0x01 graphic

(A) True (B) False

20. If 0x01 graphic
then 0x01 graphic
D

(A) 0x01 graphic
(B)0x01 graphic
(C)0x01 graphic
(D)0x01 graphic

21. The area bounded by the curves C

0x01 graphic

(A)0x01 graphic
(B)0x01 graphic
(C)0x01 graphic
(D) 0x01 graphic



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