1. The Cartesian equation of the curve given in parametric equations x = et - e-t , y = e' + et is (a) x² – y? = 4. (d) y² – x² = 1. (b) y² – x² = 4. (c) x² - y? = 1.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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_1. The Cartesian equation of the curve given in parametric equations x = e' – e-t , y = e' + e¬t is
(a) x² – y² = 4.
(c) x² – y² = 1.
(d) y² – x² = 1.
(b) y² – x² = 4.
_2. The equation of the tangent line to the curve x = -2t² + 3, y = t³ – 8t at the point where t = -2 is
(a) x – 2y +7 = 0. (b) x + 2y – 7 = 0. (c) 2x – y + 7 = 0. (d) None of these.
_3. The slope m of the tangent line at any point on the curve r = 2 cos 0 is
(b) – cot 20.
(a) – tan 20.
(c) tan 20.
(d) None of these.
_4. The graph of the equation r² = 8 cos20 is a
(a) limacon
(c) circle
(b) cardioid.
(d) lemniscate.
_5. The distance between the points A(-2, –3,1) and B(6,9,-3) is
(b) 2/14 units .
(a) 4v14 units .
(c) 8/14 units .
(d) 4/7 units.
Transcribed Image Text:_1. The Cartesian equation of the curve given in parametric equations x = e' – e-t , y = e' + e¬t is (a) x² – y² = 4. (c) x² – y² = 1. (d) y² – x² = 1. (b) y² – x² = 4. _2. The equation of the tangent line to the curve x = -2t² + 3, y = t³ – 8t at the point where t = -2 is (a) x – 2y +7 = 0. (b) x + 2y – 7 = 0. (c) 2x – y + 7 = 0. (d) None of these. _3. The slope m of the tangent line at any point on the curve r = 2 cos 0 is (b) – cot 20. (a) – tan 20. (c) tan 20. (d) None of these. _4. The graph of the equation r² = 8 cos20 is a (a) limacon (c) circle (b) cardioid. (d) lemniscate. _5. The distance between the points A(-2, –3,1) and B(6,9,-3) is (b) 2/14 units . (a) 4v14 units . (c) 8/14 units . (d) 4/7 units.
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