9 (2). Consider the region R shown in the following figure, which involves the curves of equations x? + y? = 16, x? - y = 4. The double integrals that allow us to calculate the area of the region R corresponds to: R LL A+y 16-y A) + drdy 16-y2 16- drdy + 16-y? drdy B) -2 C) dydr + dydr LL- ²-4 dydz + L dydr 16- D) 16-7

Q: 6 (A) 2x-yS6 (B) 2+y<6 (C) 2-y26 (D) +2y26

A: The solution are next step

Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…

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Q: enclosed betw parabola y = x2

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Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

A:

Q: find the parabolas x= y2,y= 255¢ and the ine area Of the region bounded by the

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Q: Use the change in variables s = x + 4y, t = y to find the area of the ellipse x^2 + 8xy + 17y^2,…

A: We have to find the area of the ellipse  x2+8xy+17y2≤1. Use the change in variables s=x+4y and t=y…

Q: Find the area of the region in the 2nd quadrant which is bounded by the parabola y = x² + 1 and the…

A: Given:1. The parabola equation: .2. The line equation: To find:The area of the region in the 2nd…

Q: 3. Find the area of the cardioids region shared by ri 7(1- sin 0) and r2 = 7(1+sin 0). A 7(1 Sint) B…

A: The given curves are:  r1=71-sinθr2=71+sinθ To find the intersecting points,…

Q: Which integral corresponds to the area of the shaded region? The parabola is y = x? –1 while the…

A: Given query is to find the the integral for the area of shaded region.

Q: 1)Find the area bounded by the given curves: a)y = 6x2 and y = 24   b)y = 3x2 − 12 and y = 0

A: The given function are y=6x2 and y=24. The area bounded by the given curves as shown below:

Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

A: