6-7. Let R be the region above the x-axis bounded by x = y² – 2, x = 6 – y² and y = 0. 6. Find the area of the region R. Choose the area formula that does not require dividing R into subregions.

Q: 10. Let R be the region that is bounded by the graphs of y = 2x and y = 22 +x - 2. Graph the region…

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Q: 3.) Find the area of the region bounded by the graphs of y = x - 1, y = -x + 3, and x = -1.

A: Region bounded by the graphs ofy=x−1,y=−x+3, and x=−1.

Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

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Q: Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3…

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Q: 2. Find the area of the region bounded by y = 2x² +10, y = 4x+16, x = -2, and x = 5.

A: first draw bounded region then find limit of region and using vertical strips find the area

Q: 9. 3y=x'-2xr-15x; y=x -4x-11x+30 |

A: We will find point of intersection and then draw curves . Then find area by using integration for…

Q: Evaluate the integral S, x · e*²-1dx

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Q: 9) Consider the region bounded by the graphs of x-B =0 and x=y² -D a. Solve for the points of…

A: The equation x-B=0 is the equation of a line with the slope as 0 and the x-intercept as B. It will…

Q: 3. plot A (0, 1) B (4, 1) C (0, 4) find the area

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Q: 3.) Find the area of the region bounded by the graphs of y = x² + x and y = 2x + 2.

A: The equation of the curvesTo determine: The area of the region bounded by the graphs.