Sketch the region enclosed by the given curves. y = 4 cos(x), y = 4 - 4 cos(x), 0 s xs n y y 4 2 1.0 X.5 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 3.0 -6 -5 -8- y y 8- 4| 6 2 0.5 1.5 2.0 2.5 2 -2 -4 0.5 1.0 1.5 2.0 2.5 3.0 -2 -6 Find the area of the region.

Q: Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

A: We have to use the concept of definite integral

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A: Given curves are-           C1 : π = 3 + cos(θ)            C2 : π = 4 - cos(θ)The segmented region…

Q: - Let f(x, y) =sin(x y − x − 3y+3). (vi) Which of the surfaces below is a graph of this function?

A: Given .This can be rewritten asOn the xy−plane, , if  gives us hyperbolas on the xy−plane.

Q: r = 12 cos(30) y y 10 10 - 10 -5 5 -5 5 10 -10 - 10 y y 10 -10 -5 10 -10 10 10

A:

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A: Since you have posted multiple questions with multiple sub-parts, we will provide the solution only…

Q: 2- Find the shaded area of the regions in the figure below 21 y = sec2t y = 1-1 TT 4

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Q: Sketch the curve. O r = 3 + 2 cos(8) -3 -2 -1 od Do -5 -4 -3 -2 2 3 4 1 2 -2 -1 Find the area that…

A: Solution:-

Q: X o ubis x G calcula x Quick x www.i A chap x T-Rex X…

A: The formula for the scale factor is given by,  Old point * Scale Factor =New point

Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e* 4 2 0.5 (1, 3e) y=3xe¹² 1.0 1.5 2.0 X

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Q: 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20)

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Q: Find the area of the shaded region. 3- 1 -1- 2 05 y=2 15 y=2 sin(xx) 25 OA. 4+/ OB. 4 4 O C. O D. 8

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Q: 1.) You and a friend are standing on the surface of hilly terrain described by f(x,y) = cos(x+y).…

A: In the given question we have to find the slope of the surface              f(x,y)=cos(x+y)at the…

Q: Evaluate +X+Z) ds along the curve r(t) = 2ti + tj + (3 - 21)k, 0<t<1. cy +x+2) (Simplify your…

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Q: Find the intersection area between r = 3sine and T = 2 - sine curves.

A: given, r=3sinθ  and r=2-sinθ

Q: for a -1 2x +5 f (x) = If fis the function defined above, then f' (-1) is A -2 B 3. E) nonexistent…

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Q: Find the area of the region. x = 3 sin(0) y = 4 cos(0) " ses 2 2 y

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Q: Find f, and f, and evaluate each at the given point. f(x, y) = arctan (2, -2) f,(x, y) = f,(x, V) =…

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Q: (a) Let R be a rectangular region bounded by the lines x = -1, x = 2, y = 0, and y = 2. Find: ²y dx…

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Q: Find fzyz. f (x, y, z) = x°y°z° + xy° + y°z %3D 6-

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Q: C. ОЛ |y=x² y = x(4-x) + X d. y 0 y = sin x y = cos x X

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…