1) Find the area of the shaded region: yA (1, e), y= e* y= xe** а.

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Evaluate SII xdv, where Dis the region bounded by x-yz-0, X=0, 2•0, and yol. y=x+2 (back)

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Q: Example 5 Find the area of the region enclosed by x = y² and y = x – 2, integrating with respect to…

A: We have to solve given problem:

Q: y = 2 – x2 ; y =-x

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Q: Find its area.   y = 3/x,    y = 12x,    y = 1x/3,    x > 0

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Q: 2. Sketch the region whose area is represented by the integral 6 Siz dxdy.

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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: sketch the regions bounded by z=0.67 and z=1.56 and find its area. show your solution in your paper

A: The standard normal distribution is a bell shaped distribution which is centred at the mean 0. The…

Q: 16. Find the area of the region bounded by the graphs of the equations, y = -x² +x+ 6, y = 0

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Q: 8. Sketch the region bounded by the graphs of the equations and use iterated integrals to find its…

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Q: Find the area of the region bounded by the graphs of the equations. x = 1, x = e, y = 0 y

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Q: find the Area between x=y^2-2, x=e^y. Y=1, y=-1.

A: Given The region, x=y2-2, x=ey and y=1, y=-1 To find the area of the given region.

Q: Sketch the region enclosed by the curves and find its area. 1 x = 0, y = 1, y = e3 x = -, NOTE:…

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Q: 1) Find the area bounded by curve y = xvx2 + 1 and the lines x = 0, x = 4 an %3D the x-axis.

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Q: find the area of a region bounded by the curves y= x^3, y= x ln(x^2), x=1 and x=2

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Q: What is the area of the region enclosed by the curves y=e^x, y=x^2-1 and the lines x=-1 and x=1?

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Q: . Sketch the region enclosed by y= 9-x and y = 0 and calculate its area. 14.

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Q: Find the area. of. the region.. R. bounded by the graphs.of gilen equations I, 4=1-x X= 0 and x=2…

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Q: 1. Find the area of region bounded by the curves y = x² and line y=x. %3D

A: We have to determine area of region

Q: 1. Sketch the region enclosed by the given curves and find its area. y = |a| and y = VT+ 2,

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Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: y = sin æ , y = cos(2x), – < < 6.

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

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

Q: 4. Region bounded by y = x2, x=0 and y=15, rotated about the y-axis

A: Imagine the plot and rotate it about the axis specified and the resulting figure will lead to the…

Q: sketch the region of integretion ireverse and eva luate SS ds dx

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Q: Sketch the region enclosed by the curves and find its area. y = cos8x, y = 0, x = π/16, x = π/8

A: Given: y = cos8x, y = 0, x = π/16, x = π/8

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: 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: y (0, 3) y = 1 - sin (x - T/2)

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Q: Find the area of the region bounded by the 3 graphs of the equations y = sin x, y = sin° x, 0, and x…

A: Consider the given curves. Equate (1) and (2) and calculate the x where (1) and (2) are equal.

Q: 2.2. Sketch the region enclosed by y = VI-1, 1- y = 1 and calculate its area.

A: Area between the curves

Q: y =-z +4x, y= 0

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Q: y = ; y = -x², x = 1, x = 2

A: Area between curves

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: Sketch the region enclosed by the given curves and calculate its area. y=4-x to the power of 2, y=0

A: The given equation is

Q: Show that the region bounded by y = 2 cos x, y = sin x, 3/2 -1. x = 0, x =- has area 2

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Q: x=y² – 4y (-3,3) wto rigin

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Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: Sketch the region enclosed by the curves and find its area. y=e^x, y=e^3x, x=0, x=ln 3

A: The area between the y=f(x)  and  y=g(x)  on the interval [a,b] is given by,∫abf(x)-g(x)dxWhere,…

Q: 23) Find the area of plate bounded by y = x- 1, y = 3-x and y = 0.

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Q: Determine the area of the region bounded by the graphs of 1) y = Cos x, y = Sin x in the interal 0,4

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Q: Sketch the region enclose by y=x2-9x+21 and y = -x2+11x-27. Decide whether to integrate with respect…

A: Given data is : y=x2-9x+21 and y=-x2+11x-27  To sketch the region.

Q: Sketch the region enclosed by y=4x and y=2x^2. Decide whether to integrate with respect to x or y,…

A: The equation of curves are : y=4x and y=2x2

Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…

Q: 23.a) determine the area of the region bounded by x= -y²-3 and x= (y – 2)2 ? (Sketch the region)

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Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the given curves.

Q: Sketch the region enclosed by the curves and find its area. 3 x = 0, y = 1, y = e3 x = -, NOTE:…

A: Let's find.

Q: Sketch the region bounded by the graphs of the equations and find its area. y =x² +1; y=x+1

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