To help find the velocity of particles requires the evaluation of the indefinite integral of the acceleration function, a(t), with respect to time, t, i.e. v = [ a(t)dt. Evaluate the following indefinite integrals. Check your value for each integral by differentiating your answer. (a) 5t (8 cos 2t64 sin 4t + 27e¯³t)dt; (b) √(324t5 - 54t² + 5)(Int)² dt;
To help find the velocity of particles requires the evaluation of the indefinite integral of the acceleration function, a(t), with respect to time, t, i.e. v = [ a(t)dt. Evaluate the following indefinite integrals. Check your value for each integral by differentiating your answer. (a) 5t (8 cos 2t64 sin 4t + 27e¯³t)dt; (b) √(324t5 - 54t² + 5)(Int)² dt;
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 7E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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