Apentix/AP Calculus AB/Unit 1: Limits and Continuity/Question
AP Calculus ABeasymcq1 pt

A company is studying the rate at which a new product is selling. The rate of sales R(t) is given by the function R(t) = 500e^(-0.1t) sin(2πt), where t is time in weeks. Which of the following statements about the rate of sales is true?

A.The rate of sales approaches ∞ as time approaches ∞.
B.The rate of sales approaches a non-zero constant as time approaches ∞.
C.The rate of sales approaches 0 as time approaches ∞.
D.The rate of sales oscillates with increasing amplitude as time approaches ∞.

Explanation

Core Concept

This question tests the student's understanding of limits and the behavior of functions over time. The rate of sales approaches 0 as time approaches ∞ due to the e^(-0.1t) term. Option A is incorrect because the rate of sales approaches 0, not ∞. Option B is incorrect because the rate of sales approaches 0, not a non-zero constant. Option D is incorrect because the rate of sales oscillates with decreasing amplitude, not increasing amplitude.

Correct Answer

CThe rate of sales approaches 0 as time approaches ∞.

More Unit 1: Limits and Continuity practice questions

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 1: Limits and Continuity Questions →