Need help with problems 45-56. Answers only is fine if you would like. I'll give helpful rating if most are correct :)

45 Select the correct answer. Find f '(x) if x) = cos (sin (3x)). 0 A. - 3 cos (3X) sin (sin (3x)) 0 B. 3 cos (3x) sin (sin (3x)) 0 C. -9 cos (X) sin (sin (3x)) 0 D. -3 (:05 (3x) sin2(sin (3K)) 46 Select the correct answer. dy 01 - w/ - Find for the equation X +y 3 = 2. . dix O A. WIN WIN OB. WIN WIN O C. - 107 -- 102 X OD. WI- WI -47 Select the correct answer. Find the points at which the equation X y2 = 3 has vertical tangent lines. 0 A. (-3, 0) O B. (O. 3) O C. (2, 0) O D. (3. O) 48 Select the correct answer. The charge (in coulombs) owing through a circuit is given by the function fit) = 0.0212 + 0.5, tin seconds. Find the electric current in the circuit after two seconds. 0 A. 0.09 amperes O B. 0.08 amperes O C. 0.04 amperes O D. 0.02 amperes 49 Select the correct answer. An airplane, after reaching a certain height (in miles), starts to fly toward the ground. The position function for the airplane can be given by the function it!) = -(t- 5)2 + 18, where tis in minutes. Find the velocity of the plane after 6 minutes. 0 A. -3 miles per minute 0 B. -2 miles per minute 0 C. 4 miles per minute 0 D. 6 miles per minute 50 Select the correct answer. The radius of a circular plate is 12 cm. Find the percentage of error in the area of the plate with a maximum error in measurement of 0.1 cm. O A. 0.98% O B. 1.2% O C. 1.6% O D. 2.0%51 Select the correct answer. 2 Find the approximate value of K105) at a = 1 for x) = X7 using linear approximation. E." O A. 0.3860 0 B. 0.3863 0 C. 0.3874 0 D. 0.4046 52 Consider a polynomial function of degree n, where n is a natural number. At most, how many critical points can this function have? OA. O OB. n OC. n+1 OD. n- 153 Select the correct answer. Which is a critical point of the function f(x) = sin(2x) in the interval [0, 2 7 ] ? O A. O B. 2 O C. 2' 2 OD. 4 454 Select the correct answer. -3 The function f(X) = is continuous on [-1, 1] and differentiable on 3 - x2 (-1, 1). Use Rolle's Theorem to find 'c such that f'(C) = 0. OA. O OB. 1 OC. 2 OD. 3. Select the correct answer. For the function graph above, estimate the value of cthat satises the Mean Value Theorem in [-2, 1]. O A. -2 O B. -1.5 O C. -1 O D. -0.5 % Select the correct answer. The graph shows the derivative f'(x). Identify the local minimum value for the function for)