25) Find the areas of the regions eoclosed by the lines and curves y 2 sin x and v sin 2x, 0SIST

Q: Find the area of the region under the given curve from 1 to 2. 5 y = X° + 4x

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Q: Consider the region R determined by the lines x=0, y=1 and the curve y=x^8. Determine n such that…

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Q: 4. Determine the area of the region enclosed by y = sinx, y = cosx, x= π/2, and the y-axis.

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Q: 1. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: Sketch a graph of the region bounded by the graphs of the equations. Inside the circle r = 4 cos(0)…

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Q: Find the areas of the regions enclosed by the curves and lines y = sin x, y = x, 0 ≤x ≤ π/4

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Q: Find between the porabolas the area 2 2.y= X+2 メャ 2.

A: We first sketch the region using a graphing calculator

Q: Sketch the region enclosed by the given curves. y = 17xl, y = x2 - 8 y 40 4아 20 20 ma x -20 -40 50…

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Q: Find the area of the region bounded by: r = 6 – 3 sin 0

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Q: Find the area of the region under the given curve from 1 to 2. 15 y = x3 + 4x

A: We have to find area under the region from 1 to 2

Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

A: First draw the x and y axes . Label x for x-axis and y for y-axis . Line y=0 passes from the point…

Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

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Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y

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Q: Find the areas of the regions enclosed by the curves and lines y = | sin x | , y = 1, -π/2 ≤ x ≤ π/2

A: Given: The function y=sinx, y=1, -π2≤x≤π2, To find: The area of region enclosed by given curves

Q: Find the area of the region:   y=7/2 sin(πx/6), y= 7/6x

A: Solution -

Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), -1/27 sxs 1/27 У 3 3 0.1…

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Q: Sketch the region defined by the inequalities 0<= r<=2 sec u and -pai/4 <= u<= pai/4

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Q: Find the area of the region enclosed between the curves defined by the equations y = Vx +2 ,y = x ,…

A: Solve the following

Q: Find the area of the given region y = tanh 2x

A: Given curve and figure: y = tanh 2x

Q: 1. Find the area of the region enclosed by the line x = 2y and the curve x = y - y?

A: We will find out the required area.

Q: Find the area of the region bounded by the graphs of the equations               y = cos2 x, y =…

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Q: 1. Find the area bounded by the curves y – 2 = x² ,y = 6 and the y – axis ( in Quadrant I only), as…

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Q: Find the area between the curve y = sin x and the line segment joining the points (0, 0) and (5π/6,…

A: Consider: y=sin x and line joining the points 0,0 and 5π6,12. Find the area between them.   First…

Q: 6. Find the area of the region bounded by y =1+cosx, y = 2, x=1.

A: Given curves are  y=1+cosxy=2x=π

Q: Find the area of the region cut from the first quadrant by the curve r = 2(2 - sin 2u)^(1/2).

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Q: Find the areas of the regions enclosed by the lines and curves y = 8 cos x and y = sec2 x, -π/3 ≤ x…

A: The curves given are y=8cosx and y=sec2x , -π3≤x≤π3 The area of the regions enclosed by the lines…

Q: Sketch the region enclosed by the given curves. y = 3 cos(9x), y = 3 – 3 cos(9x), OSxS1/9

A: Solution is in step 2

Q: Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = 7 and x = 4, and compute…

A: The given curves are: y=2 sin x,       y=2csc2x,       x=π4      and      x=3π4

Q: 10.4-#33

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Q: Find the areas of the regions enclosed by the lines and curves y = 2 sin x and y = sin 2x, 0≤ x ≤ π

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Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

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Q: Find the area of the region that lies between the curves y = sec x and y = tan x from x = 0 to x =…

A: We need to find the area of the region that lies between the curves y = sec x andy = tan x from x =…

Q: Find the are of The region the curves ycOSx, y=T-coSx, X-0 cmd X-t enclored by COSy=1-COSX

A: This question is based on application of integration.

Q: 3ん Find are eng th and Surface y=X+| With 1L x 2z area

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Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x.

A: To. Find thhe area of enclosed region

Q: find the area of the region bounded by the graph y=cos^2x, y=sinxcosx , x=-pi/2 , x=pi/4

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Q: 3 cos(9x), y = 3 – 3 cos(9x), 0 s xs x/9

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Q: 25. Figure 21 shows the region enclosed by x = y – 26y + 10 and x = 40 – 6y2 – y³. Match the…

A: For the solution of the problem follow the next steps.

Q: The area of the region bounded by y = sin(3x), y = 0, x = 0, and x = is 12

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

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Q: Find the areas of the regions enclosed by the lines and curves y = sin (πx/2) and y = x

A: Given: y=sinπx2 & y=x ⇒y=sinπx2=x⇒sinπx2=x The graph of the given function is,

Q: 9:(a): Find the area boundedby the curve y =-x, the line y = x, and the line y = 2.

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Q: Find the area bounded by the circle r = 2 sin 8 and r = 4 sin 0.

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Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: Find the area between the curve y = cos (2x) and the line joining the points (,0) and (등, 글).

A: Integrals and derivatives are considered as the inverses of each other. For example if we have a…

Q: 4. Find the area of the region bounded by the parabola x=y^2 +2 and the line y=x-8 *

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

Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…