Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside r2, but outside r1 c). Shared both r1 and r2

Q: Sketch the graph of r; = V3 and r, = 2 sin ( 20) then set up integral(s) for area of the following:

A: Given: r1=3r2=2sin2θ To find: a) inside r1 but outside r2 b) inside  r2 but outside r1 c) inside…

Q: •3 L₂(³- -2 - (3 - x) dx

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Q: Given ; = -5 cos 0 and r₂ = 5+5 cos 0 Sketch and then set up integral for area bounded by the…

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Q: If b = 6 cm, c = 3 cm, h = 6 cm, and a = 2 cm, the centroid of the area about x axis is equal to:…

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Q: Find the area of ABC if <Z= 52 degrees, x = 16, and y= 25

A: Finding the area of triangle

Q: a) Determine the area of the largest rectangle that can be drawn in the region between y= x3, the…

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Q: Find the area of the region inside one leaf of the five​-leaved rose r=4cos5θ

A: Given: r = 4cos(5θ)

Q: 4.) Find the surface area: O 15 sq m 2 m 4 m 2 m

A: Surface area formula is:where b= side of square, l= slant height

Q: y = 3Vx, y= 20 – 2x.

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Q: Evaluate the integral: LIVE 1 I√9r²+25 dr.

A: We will solve the given question using simple Integration rules.

Q: 3. The part of the plane z = 1+ y that lies above the cone z = √2x² + 2y²

A: The part of the Plane z = 1+y that lies above the cone     z= √(2x^2  + 2y^2)

Q: b) Express the area of the pool, A in terms of I and r.

A: We need to solve the part (b) of the question :

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: 2. Find the area of the portion of 2x+4y+z=0 inside x +y =1 2. Select one: a. TIV24 b. TIV23 C. Non…

A: we will calculate the area of portion using the orthogonal projection of the portion of the plane…

Q: Evaluate the integral I C xydy + y2dx; where C is the square cut from the first quadrant by the…

A: We have to evaluate the integral ∮Cxydy+y2dx, Where C is the square cut from the first quadrant by…

Q: The size of the rectangle that can be made from 200 cm long wire so that the area is maximum is ….

A: We have to find the maximum area of given rectangle.

Q: Given F(x) = : (1-V1- (1+ 1)² ) dt V1– (1+1)² ) dt

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Q: Let A be the area of the region bounded by the curves y = √√/4 - x², y = x − 2, and x = −2. a)…

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Q: * dr; By using Trapezoidal Rulc, calculate the integral

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