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Is there any difference between 10 degree C and 10 C degree?

Is there any difference between 10 degree C and 10 C degree?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Is there any difference between 10 degree C and 10 C degree?

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(i) lim (In x)- (j) lim xsinr x→0+ sin 2.x + 2 arctan 3x + 3x² (k) lim r-0 In (1+ 3.x + sin? x) + xe™ In cos x (1) lim x→0 tan x2
Transcribed Image Text:(i) lim (In x)- (j) lim xsinr x→0+ sin 2.x + 2 arctan 3x + 3x² (k) lim r-0 In (1+ 3.x + sin? x) + xe™ In cos x (1) lim x→0 tan x2
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A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
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A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
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A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
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A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin tk a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0. - a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin tk a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0. - a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
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Follow-up Question
A particle moves along a curve whose parametric equations are x = 3e¬4, y = 4 sin 3t, z = 5 cos 3t where t is the time. Find the magnitudes of the velocity at t=0. a) 10.42 b) 11.42 c) 12.42 d) 13.42
Transcribed Image Text:A particle moves along a curve whose parametric equations are x = 3e¬4, y = 4 sin 3t, z = 5 cos 3t where t is the time. Find the magnitudes of the velocity at t=0. a) 10.42 b) 11.42 c) 12.42 d) 13.42
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Given a space curve C with position vector r = 3 cos 2t i + 3 sin 2t j + (8t – 4)k Find a unit tangent vector Urto the curve. a) (-3/5) sin3t i+(3/5) cos 2t j + (4/5)k b) (3/5) sin3t i+ (3/5) cos 2t j +(4/5)k c) (-3/5) sin3t i- (3/5) cos 2t j + (4/5)k d) (-3/5) sin3t i+ (3/5) cos 2tj - (4/5)k
Transcribed Image Text:Given a space curve C with position vector r = 3 cos 2t i + 3 sin 2t j + (8t – 4)k Find a unit tangent vector Urto the curve. a) (-3/5) sin3t i+(3/5) cos 2t j + (4/5)k b) (3/5) sin3t i+ (3/5) cos 2t j +(4/5)k c) (-3/5) sin3t i- (3/5) cos 2t j + (4/5)k d) (-3/5) sin3t i+ (3/5) cos 2tj - (4/5)k
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Follow-up Question
A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin tk a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0. - a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin tk a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0. - a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
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Follow-up Question
A particle moves along a curve whose parametric equations are x = 3e-2t, y = 4 sin 3t, z = 5 cos 3t where t is the time. Find the magnitudes of the acceleration at t=0. a) 46.57 b) 44.57 c) 42.57 d) 40.57
Transcribed Image Text:A particle moves along a curve whose parametric equations are x = 3e-2t, y = 4 sin 3t, z = 5 cos 3t where t is the time. Find the magnitudes of the acceleration at t=0. a) 46.57 b) 44.57 c) 42.57 d) 40.57
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Follow-up Question
A particle travels so that its acceleration is given by 2e-ti + 5 cos tj – 3 sin t k a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the magnitude of acceleration at t=0s a) 4.38 b) 5.38 c) 6.38 d)7.38
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj – 3 sin t k a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the magnitude of acceleration at t=0s a) 4.38 b) 5.38 c) 6.38 d)7.38
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Follow-up Question
d'r If r = (t8 + 2t)i – 3e-2tj + 2 sin 5t k, find dt2 at t=0. 12 -12 O 21 -21
Transcribed Image Text:d'r If r = (t8 + 2t)i – 3e-2tj + 2 sin 5t k, find dt2 at t=0. 12 -12 O 21 -21
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