Question

Calculate the area of the region bounded by the graphs of $y = x^3$, $y = x + 6$ and the $x$-axis. If your answer is not a whole number, then give it correct to 2 decimal places. Answer:

Name: calculate the area of the region bounded by the graphs of y x3 y x 6 and the x axis if your answer is not a whole number then give it correct to 2 decimal places answer 07275
Uploaded: 2023-07-11T14:33:46-08:00
Duration: 1 min 36 s
Channel: Adi S
Description: calculate the area of the region bounded by the graphs of y x3 y x 6 and the x axis if your answer is not a whole number then give it correct to 2 decimal places answer 07275

          Calculate the area of the region bounded by the graphs of $y = x^3$, $y = x + 6$ and the $x$-axis. If your answer is not a whole
number, then give it correct to 2 decimal places.
Answer:

calculate the area of the region bounded by the graphs of y x3 y x 6 and the x axis if your answer is not a whole number then give it correct to 2 decimal places answer 07275

Added by Michael I.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/11/2023

Step 1

$x^3 = x + 6$ $x^3 - x - 6 = 0$ By observation, we can see that $x = 2$ is a root of the equation, since $2^3 - 2 - 6 = 8 - 2 - 6 = 0$. So, we can factor the equation as $(x - 2)(x^2 + 2x + 3) = 0$. The quadratic $x^2 + 2x + 3$ has no real roots, since its Show more…

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Calculate the area of the region bounded by the graphs of $y = x^3$, $y = x + 6$ and the $x$-axis. If your answer is not a whole number, then give it correct to 2 decimal places. Answer: