Question

Daily oil imports to the United States from Mexico can be approximated by $$ I(t)=-0.015 t^{2}+0.1 t+1.4 $$ million barrels $/$ day $(0 \leq t \leq 8)$ where $t$ is time in years since the start of $2000 .^{2}$ According to the model, in what year were oil imports to the United States greatest? How many barrels per day were imported that year? HINT [See Example 1.]

          Daily oil imports to the United States from Mexico can be approximated by
$$
I(t)=-0.015 t^{2}+0.1 t+1.4
$$
million barrels $/$ day $(0 \leq t \leq 8)$ where $t$ is time in years since the start of $2000 .^{2}$ According to the model, in what year were oil imports to the United States greatest? How many barrels per day were imported that year? HINT [See Example 1.]

Added by Melinda A.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Lucas Finney

04/22/2022

Step 1

This is a quadratic function and its maximum value occurs at the vertex. The x-coordinate of the vertex of a quadratic function given in the form f(x) = ax^2 + bx + c is -b/2a. Show more…

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Daily oil imports to the United States from Mexico can be approximated by $$ I(t)=-0.015 t^{2}+0.1 t+1.4 $$ million barrels $/$ day $(0 leq t leq 8)$ where $t$ is time in years since the start of $2000 .$ According to the model, in what year were oil imports to the United States greatest? How many barrels per day were imported that year?