Reference: Calculus and Its Applications, 12th, by Marvin L. Bittinger and David Ellenbogen Book

Elementary Applied Calculus

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These are practice questions

Links to Book Below:

1. Calculus And Its Applications, Brief Version 12th edition | Print ISBN - 9780135164884, eText ISBN - 9780135225103 | VitalSource

2. Bittinger, Ellenbogen, Surgent & Kramer, Calculus and Its Applications: Brief Version, 12th Edition | Pearson

These are are practice questions

a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by multiplying the expressions first. F(x) = 3x (x3 - 3x) a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer box(es) to complete your choice. O A. The derivative is 3x (x3 - 3x) (). O B. The derivative is 3x ( ) + (x3 - 3x) ( D) O C. The derivative is (x3 - 3x) (). O D. The derivative is 3x( + 60x () b) Multiply the expressions. 3x5 (x3 - 3x) = (Simplify your answer.) Now take the derivative of the answer from the previous step and simplify the answer from part a. Check to make sure that the two results are the same. That is, using either approach, F'(x) =].Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount A, after time t. b) It is found that 8 lb of A will reduce to 4 lb in 4.6 hr. After how long will there be only 1 lb left? a) Choose the equation that gives A in terms of An, t, and k, where k > 0. O A. A(t) = Apekt O B. A(t) = Age - kt O C. A(t) = A -kt O D. A(t) = Ap b) There will be 1 lb left after hr. (Do not round until the final answer. Then round to the nearest whole number as needed.)