V3r - 5-2 lim 43 V19r +7 - 8 (a) 3/19 (b) 12/19 (c) 4 (d)...

  

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V3r - 5-2 lim 43 V19r +7 - 8 (a) 3/19 (b) 12/19 (c) 4 (d) 19/12 (e) none of these Question 2 Suppose that -1 = -3 and y -2 when r = 1. What is the approximate value of y when r=1 %3D I = 0.99? (a) 2.03 (b) –1.97 (c) -5 (d) -0.03 (e) none of these Question 3 Suppose that e3z-y =1- ry. Then by using implicit differentiation, equals (b) 3e- (c) 3e--y eaz-y-r (d) (e) none of these e--r 3e-y+r Question 4 Let y = (r? +r+ 1)°(r3 – 1)-2. Then equals %3D Sr-5-6r (a) (b) -3 (c) 10z2-37-7 (d) 10r+5-Gz? (e) none of these 2-1 Question 5 If y = in", then y'r = (a) sin r(rsin z) (b) ya cos r Inr+ sin a] (c) sin r(asin ) cos r (d) y cos r (e) none of these Question 6 Let a be a constant and let if r<1 if r>1 ar f(r) - Then (a) f is continuous at 0 only if a =0 (d) f'(0) exists only if a = 0 (b) f is differentiable at 1 for all a (c) f'(1) = 3 - a for all a (e) none of these Question 7 2 - 3 lim (a) et (b) e-2 (c) 0 (d) 1 (e) none of these Question 8 Let h be differentiable at 4 with h(4) = -1, h'(4) = 1. Let f(r) = rh(r 2r) for all r. Then f'(2) = (a) -24 (b) 40 (c) 0 (d) 36 (e) none of these Question 9 Suppose that f'(t) < 3 for all t eR and f(3) = 1. Then f(-7) is (a) >-29 (b) < 31 (c) < -29 (d) > 31 (e) none of these Question 10 lim (1– 10r) = (a) e-10 (b) 1 (c) 0 (d) oo (e) none of these Question 11 Of all the possible numbers r in (0, o0), what is the minimum value of r In r? (a) -e-2 (b) -e-1 (c) some number less than -1/2 (d) -00 (e) none of these Question 12 Let f(r) = . Then f is decreasing on which of the following intervals? %3D (a) (0, 2) (b) (-00, 0) (c) (2, 00) (d) (0, o0) (e) none of these V3r - 5-2 lim 43 V19r +7 - 8 (a) 3/19 (b) 12/19 (c) 4 (d) 19/12 (e) none of these Question 2 Suppose that -1 = -3 and y -2 when r = 1. What is the approximate value of y when r=1 %3D I = 0.99? (a) 2.03 (b) –1.97 (c) -5 (d) -0.03 (e) none of these Question 3 Suppose that e3z-y =1- ry. Then by using implicit differentiation, equals (b) 3e- (c) 3e--y eaz-y-r (d) (e) none of these e--r 3e-y+r Question 4 Let y = (r? +r+ 1)°(r3 – 1)-2. Then equals %3D Sr-5-6r (a) (b) -3 (c) 10z2-37-7 (d) 10r+5-Gz? (e) none of these 2-1 Question 5 If y = in", then y'r = (a) sin r(rsin z) (b) ya cos r Inr+ sin a] (c) sin r(asin ) cos r (d) y cos r (e) none of these Question 6 Let a be a constant and let if r<1 if r>1 ar f(r) - Then (a) f is continuous at 0 only if a =0 (d) f'(0) exists only if a = 0 (b) f is differentiable at 1 for all a (c) f'(1) = 3 - a for all a (e) none of these Question 7 2 - 3 lim (a) et (b) e-2 (c) 0 (d) 1 (e) none of these Question 8 Let h be differentiable at 4 with h(4) = -1, h'(4) = 1. Let f(r) = rh(r 2r) for all r. Then f'(2) = (a) -24 (b) 40 (c) 0 (d) 36 (e) none of these Question 9 Suppose that f'(t) < 3 for all t eR and f(3) = 1. Then f(-7) is (a) >-29 (b) < 31 (c) < -29 (d) > 31 (e) none of these Question 10 lim (1– 10r) = (a) e-10 (b) 1 (c) 0 (d) oo (e) none of these Question 11 Of all the possible numbers r in (0, o0), what is the minimum value of r In r? (a) -e-2 (b) -e-1 (c) some number less than -1/2 (d) -00 (e) none of these Question 12 Let f(r) = . Then f is decreasing on which of the following intervals? %3D (a) (0, 2) (b) (-00, 0) (c) (2, 00) (d) (0, o0) (e) none of these