(a) Explanation Given: The rate of excretion of biochemical compound f ′ ( t ) is f ′ ( t ) = .01 e − .01 t . Formula used: The integration of the function f ′ ( x ) is, f ( x ) = ∫ f ′ ( x ) d x The integration of function e k x is performed as, I = ∫ e k x d x = 1 k ⋅ e k x + c Here, k is a constant and c is the integration constant. Calculation: Write the integration of the function f ( t ) (b) To determine The number of units excreted in 10 minutes , if 0 units are excreted at time t = 0 .

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Chapter 13.1, Problem 48E

(a)

To determine

To calculate: The expression for f(t), if the rate of excretion of biochemical compound is f′(t)=.01e−.01t.

(b)

To determine

The number of units excreted in 10 minutes, if 0 units are excreted at time t=0.

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Chapter 13.1, Problem 47E

Chapter 13.1, Problem 49E

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Pearson eText for Mathematics with Applications In the Management, Natural, and Social Sciences -- Instant Access (Pearson+)

Ch. 13.1 - Checkpoint 1 Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2 Find each of the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - Prob. 5CP Ch. 13.1 - Prob. 6CP Ch. 13.1 - Prob. 7CP Ch. 13.1 - Checkpoint 8 The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...

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The expression for f ( t ) , if the rate of excretion of biochemical compound is f ′ ( t ) = .01 e − .01 t .