Evaluate the integral and interpret it as the area of a region. 6x + 7 - x dx 55, 55 - 32 9 9 Sketch the region. y y 8 8 6 4 2 -2 4 6 8 - 2 4 8 y y 8 8 6 6 2 -2 4 6 8 -2 4 6 8

Q: 5. Evaluate ff ex²dA where R is the triangular region bounded by y = 2x, y = 0, and R x = 2.

A: We need to evaluate the given double integral ∬ex2dA over R. Where R is triangular region bounded by…

Q: - 6 y = x² - x - 30, y = 0, x = -5, x = 4 y -4 -2 30 20 10 -10 -20 30 2 X

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Q: Find the area of the region. y² = x²(9 − x²) y 2 M -2 -1 1 -2 -4 2

A: Given which implies  .  And the regionnow, the area of the region Now the limits of region  as per…

Q: Sketch the region enclosed by the given curves. y = V5x, y = y 4 2 -30 -20 -10 10 20 30 -4 -30 -20…

A: The given curves are y=fx=5x3y=g(x)=15x

Q: Determine the area of the region between y = x+2, y = 2* + x and the y axis. ABC ттт Arial 3 (12pt)…

A: Given curves  y= 2x+x  y=x+2

Q: Consider the following. f(x) x(x2 – 11x + 35) - g(x) = x²

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given curves are- 2x+y2=8  , x=y We have to find the area of the region bounded by these curves.…

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: 6x + y² = 16, x = y

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Q: y = x? - x - 12, y = 0, x = -3, x = 3 y 10 10 10 10 5 -4 2 -4 -2 4 2 4 -5 - 10 10 -10 -10 Find the…

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