Find the area of the region bounded on the left by the curves y = e" and y = 3-", and on the right by the line r = 1. (a) 3le – 1) 2 (b) §(e³ – 1) – 3 In 3 1 (c) In 3 3 1. 2e3 (d) 3 In 3 () + 1 In 3 2.

Q: 2. Find the area of the region bounded by the graphs of y = x2 - 6 and y-3 = 0.

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Q: 3

A: Note : Take area as always positive.For any query with the solution please ask in the comment

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: 1) Find the area bounded by curve y = xvx2 + 1 and the lines x = 0, x = 4 an %3D the x-axis.

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Q: 5. Find the exact area of each described region. a. The finite region between the curves x = y(y-2)…

A: a) Given curve are          g(x) = y (y-2)    And f(x) = -(y-1)(y-3) Now , For point of intersection…

Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: g. The region bounded by: y =Vx, y32 and x=0 about y32. h. The region bounded by: y = x, y=2 and x-0…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area enclosed a'x = y°(2a – y)| 2 X. -

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Q: 1)a) What is the area under the curve y = 2³ and above the x-axis between z = 1 and 2 = 3? What is…

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Q: 5. Find the exact area of each described region. The finite region between the curves x = y(y-2) and…

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Q: If g(x) > (x) on the interval [a,b), then the area between the curves for as xs bis given by: O A.…

A: See step 2.

Q: 1. The shaded region in Figure 1 is bounded by the curve x = y² + 2y and line x = 3. Which one of…

A: The given curve is x=y2+2y and line is x=3. Find the area of the shaded region.