Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. And find the area. y = sin X).

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

A: Here we have to sketch the region bounded by the given curves.  We have, x=y2, x=y+6

Q: Find the area of the region enclosed by the curves y =

A: answer is in next  step

Q: Help please

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Q: In this item, sketch the region enclosed by the given curves. Then find the area of its region. 1.…

A: We need to find area.

Q: Sketch the region and find its area (if the area isfinite).   S = {(x, y)  x ≥ 1 ,  0≤ y ≤ 1/(x3+x…

A: Consider the equations in the given statements. First of all we will plot the curves and find out…

Q: y = cos x, y = sin 2x, 0 <x< T/2

A:

Q: Find the area of the region R bounded by y = Vx and y = x , in the first quadrant. Sketch the graph…

A: For the region bounded between the curve, we need to first evaluate the point of intersection of the…

Q: 31. y = x', y= 2 – |x|

A:

Q: Find the area enclosed by the given curves.

A:

Q: Sketch the region enclosed by y = e, y = e, and æ 1. Find the area of the region.

A: In given question,the concept of area under the curve is applied. Area under the curve Different…

Q: 3 a. y= 2x and y =8– 4x b. y= x°, y =8, and x= 0

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Q: Sketch the region enclosed by the given curves and find its area. y= cosx, y= (1-2x)/pi

A: y=cosx  &amp;  y=1-2xπ The region enclosed by these curves is,

Q: Sketch the region and find its area (if the area isfinite). S = { ( x, y) | x &gt; = 0 , 0…

A:

Q: Evaluate , (2x + y²)dA over the region R in the first quadrant bounded by the axes and y? = 1-x. -1…

A:

Q: Find the area enclosed by the given curves. y = sin x, y = csc 2 x, < x <

A: The given curves are: y=csc2x, y=sinx and the interval is π3≤x≤π2

Q: Find the area of the region R bounded by y = sin x, y = cos x, from x = 0 to x = 4 - Sketch the…

A: y=sinx, y=cosx from x=0 to x=π4. The graph is,

Q: O Find the area of the region that lies inside the first curve and outside the econd curve.

A: We have to find the area of the region that lies inside the curve r=-2sin(θ) and outside the curve…

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

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Q: Sketch the region enclosed by the given curves and find the area.  y = 12 − x ² , y = x² − 6

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Q: Determine the area of the given region. y = x + sin x 3- 2.

A: Given that the region is        y = x + sinx Here we have to find the area of the given region.

Q: 1. Sketch the region enclosed by the given curves and find its area. y = x?, y = x*

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Q: x = sin y, x = 0, y = 7/4, y = 3/4 %3D

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Q: Find the area of the region enclosed by the curves: y = e2", y = et", æ = 1

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Q: Sketch the region enclosed by the following curves and find its area. y = x^2, y = 4x -x^2

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Q: Find the area of the region enclosed by the given curves. y = sin x, y = 2x/T, x > 0

A:

Q: Sketch the region enclosed by y = e , y = e", and I = 1. Find the area of the region.

A: Given that y=e7x ,y=e5x and x=1To find ; Area enclosed by the curve

Q: y =x.y = x, x> 0 1 1 y : X у —х, у — —х, х > 0 4

A: we need to use integration to find area between curves

Q: Sketch the region enclosed by y = e", y = e7=, and a = 1. Find the area of the region.

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: 15. у з ,y = 1+x? Y = |x|

A: Accoding to Given Question no 15 only

Q: Sketch the following region enclosed by the following curves and find its area. y = x, y = a, x = b,…

A:

Q: Sketch the region enclosed by y = /x, y = 0, x = 4 and calculate its area.

A: The region enclosed by y=x , y=0 and x=4 is given by:

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: Find the area of the region enclosed by the given curves y=cosx y=1-(2x/pi)

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Q: Find the area of the region R enclosed by the curves y = x3 and y = x3

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Q: Find the area of the region R enclosed by the curves y = x2 – 2x and the х — ахis.

A: Given: y=x2-2x

Q: Sketch the region whose area is given by the definite integral and then use a geometric formula to…

A: Given

Q: 17. y = 2+ |x– 1|, y = -x+7 18

A: Given that the curves are y=2+x-1 and y=-15x+7. It is required to find the region enclosed by curves…

Q: ) Sketch the region enclosed by the given curves and find its area. y = -x² +4x, y=x² – 2x

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Q: Find the area of the region that is bounded by the given curve a

A: Given, r=e-θ6, π2≤θ≤π

Q: Find the area of the region bounded by the given curves: yx = 1, y= 0 , x = 1, x= 3

A: Given: Find the area of the region bounded by the given curves: `yx=1 y=0 x=1 x=3`

Q: Find the area of the region R bounded by y = 3√x and y = x, in the first quadrant. Sketch the graph…

A:

Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: 1. Use integration to find the area of the given region R.

A: Determining intersection point of curves y=1-x and y+2x=-2 on solving we get y =4

Q: 19. y = x - 4x+ 3x, y = 0

A: Sketch the graph of the curve, find the point of intersection of the curve with x-axis and calculate…

Q: Sketch

A: Please refer to the image below

Q: Find the area of the region in the 1st quadrant bounded by y = x2 + 1, y = 1 – x², and x = 1.

A: Given the curves and lines y=x2+1, y=1-x2 and x=1 The figure of an area of the following region is…

Q: Sketch the region enclosed by the given curves and find its area. y = x², y = x*

A: By using area between the curve formula, we calculate the required area.

Q: Sketch the region enclosed by y = e3, y = e, and z = 1. Find the area of the region.

A:

Q: 6. Sketch the region between y = sin?(x) and y = 0 for x between 0 and r. As well, find the area of…

A: From the given curves the bounded region is as shown below: