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Home > CALC > Chapter 6 > Lesson 6.4.3 > Problem 6-161

  1. Find the average value of g(t) defined below over the given interval. You may solve analytically or use your graphing calculator to evaluate. Homework Help ✎

    1. g(t) = 2t2 − 3 over [0, 4]

    2. g(t) = 3et + ln(t + 1) over [0, 1]

Examine the Math Note about about Mean (average) Value. Notice that there are two strategies to compute Mean (average) Value.

Strategy 1: compute the average area under the curve.
Strategy 2: compute a slope of a secant line.

WARNING: These strategies can NOT be used interchangeably. The strategy you choose depends on the function you are given:
f(x) or F(x).

And it depends on the question you are being asked:
Find average y-value? or Find average rate of change?

In problem 6-161, you are asked to find the average y-value of the given function g(x).