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Question 8 In(t2 + e2)- 2 lim t 0 (a) 0 (b) 1 (c) 1/2 (d) 2 (e) none of these Question 9 The slope of the tangent to the curve x2 + y3 = 12 at the point when r = 2 is (a) 2/3 (b) -2/3 (c) 1/3 (d) 1 (e) none of these Question 10 Let h be differentiable at 4 and suppose that h(4) = -1, h' (4) = 1. Let f(x) x?h(x2) for all x. Then f'(2) = (a) 0 (b) –12 (c) 12 (d) 4 (e) none of these Question 11 Let g(x) = Va, a = 1, b = 4. A value of c that satisfies the conclusions in the mean value theorem is (a) 9/4 (b) 4/9 (c) 3/2 (d) 2/3 none of these

Question 8 In(t2 + e2)- 2 lim t 0 (a) 0 (b) 1 (c) 1/2 (d) 2 (e) none of these Question 9 The slope of the tangent to the curve x2 + y3 = 12 at the point when r = 2 is (a) 2/3 (b) -2/3 (c) 1/3 (d) 1 (e) none of these Question 10 Let h be differentiable at 4 and suppose that h(4) = -1, h' (4) = 1. Let f(x) x?h(x2) for all x. Then f'(2) = (a) 0 (b) –12 (c) 12 (d) 4 (e) none of these Question 11 Let g(x) = Va, a = 1, b = 4. A value of c that satisfies the conclusions in the mean value theorem is (a) 9/4 (b) 4/9 (c) 3/2 (d) 2/3 none of these

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Question 7 Suppose that f is differentiable on (-∞, 0) and f(-1) = 3. If f'(t) > –5 for all t E R, then f(8) (a) < -45 (b) < -40 (c) > -40 (d) > -42 (e) none of these Question 8 In(t? + e?) – 2 lim t→0 t (a) 0 (b) 1 (c) 1/2 (d) 2 (e) none of these Question 9 The slope of the tangent to the curve x2 + y° 12 at the point when x = 2 is (a) 2/3 (b) –2/3 (c) 1/3 (d) 1 (e) none of these Question 10 Let h be differentiable at 4 and suppose that h(4) = -1, h' (4) = 1. Let f(x) = x²h(x²) for all x. Then f'(2) = (a) 0 (b) – 12 (c) 12 (d) 4 (e) none of these Question 11 Let g(x) = Vx, a = 1,6 = 4. A value of c that satisfies the conclusions in the mean value theorem is (a) 9/4 (b) 4/9 (c) 3/2 (d) 2/3 (e) none of these
Transcribed Image Text:Question 7 Suppose that f is differentiable on (-∞, 0) and f(-1) = 3. If f'(t) > –5 for all t E R, then f(8) (a) < -45 (b) < -40 (c) > -40 (d) > -42 (e) none of these Question 8 In(t? + e?) – 2 lim t→0 t (a) 0 (b) 1 (c) 1/2 (d) 2 (e) none of these Question 9 The slope of the tangent to the curve x2 + y° 12 at the point when x = 2 is (a) 2/3 (b) –2/3 (c) 1/3 (d) 1 (e) none of these Question 10 Let h be differentiable at 4 and suppose that h(4) = -1, h' (4) = 1. Let f(x) = x²h(x²) for all x. Then f'(2) = (a) 0 (b) – 12 (c) 12 (d) 4 (e) none of these Question 11 Let g(x) = Vx, a = 1,6 = 4. A value of c that satisfies the conclusions in the mean value theorem is (a) 9/4 (b) 4/9 (c) 3/2 (d) 2/3 (e) none of these
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