1. For each of the following problems, the graphs of the curves y = x?, y = 8 - x², and the line y = 8 are given. Set up the integral(s) for finding the area of the region with the given boundary. DO NOT INTEGRATE. y y=8 a. The region bounded by y = x?, y = 8 - x², and the x-axis. b. The region bounded by y = x?, y = 8 - x², and the y-axis.

Q: 9. y = x²; y = 8-x²; y = 4x +12 %3D

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Q: 3. The region between the graphs of y = x3 + 4x - 1 and y = 2x3 + 3x? - 1

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Q: 3. Find the approximate area of the regions bounded by the curves y = the points of intersection x =…

A: The bounded region is y=xx2+1, y=x4-x and the point of intersection is x=0, x≈1.18

Q: 5. Find the equation of the line x = k that divides the area enclosed by the graphs of x = Vy,x = 3…

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Q: 1. Find the area of the region bounded from the right by the curve x = 4 – y? , from the left by the…

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Q: 1. Let y = x² + 1 and y = −2x + 1. (a) Graph the two functions together on the same plane. Find the…

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Q: Find the area of the region bounded by 2x = and the y-axis using the horizontal strip. 3 y²+1

A: To find the area bounded by curves 2x=3y2+1 and y axis, i.e. x=0

Q: 1. Graph the following lines on the graphs provided and indicate the slope and any x-intercepts…

A: We are to graph the line x+y= 6 We will indicate the slope , x- intercept, y- intercept .

Q: 1 1 from x=1 to x=3. 4x 3 5. Find the length of the curve given by y 3

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Q: Find the area of the region bounded by the curves x²y = 2, x²y = 3, y = x and y = 2x.

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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