2. Region bounded by y= x, x=0 and y=15, rotated about the y-axis

Q: 26 Find the area of the region bounded by, c. The curve y= In x, the lines x 4 and the x-axis. d.…

A:

Q: Sketch the planar region bounded by y = x³, x +y = -2 and y = 0. Find its area.

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Q: Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we…

A:

Q: Sketch the region enclosed by the given curves. y- Vx- 3, x - y - 3

A: To find the area of enclosed region of the given curves, first we find the intersecting points of…

Q: The geometric center of the region bounded by the curves 5y²-16x=0 and y²+8x=24 on the first…

A: The given answers do not match the actual answer. Please check the options.

Q: Determine the area of the region bounded by 3x - 5y + 4 = 0 and y-axis from y = 2 to y = 5.

A:

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

A:

Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, 1. y = -X, 3 x >0 y y 8- 6. 6. 4 4…

A: Given curves: y=3x, y=12x, y=x3 Andx>0

Q: 5- Determine the area of the region enclosed by the curve y-3- V, and the lines y-5- z, x-axis and…

A: We have to determine the area of the region bounded by the curve y=3-x and the line y=5-x, x-axis…

Q: DATE Detcemine thc voluma of the colid obtained by rotating the region bounded by y=x* - 2x and.yox…

A: This is volume by integration problem which can be solved using disc washer method

Q: Sketch the region bounded by the given curves, then find its area. y = 12 - 3x^2, y = 4 - x^2

A:

Q: 2. The region bounded by x = 2 y, x = 0, y = 9 is rotated about the y - axis.

A: Given Data: The given curve is x=2y. Rotated about y axis. The limit for y axis is (0, 9).

Q: 3 Find the abscissa of the centroid of the region between the parabola y = 9 − x2 and the line y…

A: Given :The parabola y=9-x2 and the line y=2-2x from x=0 to x=2.To find :The abscissa of the centroid…

Q: The region R is bounded by y 4 %3D and y = x +3. -

A:

Q: 3. Region bounded by Y = rotated about the x-axis ,x=0 and y=15,

A: By shell method

Q: Sketch the region enclosed by the given curves. y=5cospix, y-12x^2-3 Find its area.

A: Plot the curves. From curve, upper curve=5cosπxLower curve=12x2−3LL=−0.5 and UL=0.5

Q: Region bounded by y = 1 − x2 and y = 0

A: To graph the region bounded by, y = 1 − x2 and y = 0

Q: 4. Sketch the region R= {(x, y)|y < x < /1- y²,0 < ys v2/2}. (Hint: graph all of the four "curves".)

A: R=x, y| y≤x≤1-y2, 0≤y≤22 The four curves are   y=x x=1-y2y=0y=22

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: y = sin æ , y = cos(2x), – < < 6.

A:

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

A:

Q: Determine the area of the region bounded by x = ³√/y-1 from y = 0 to y = 1.

A:

Q: rotate the region bounded by y=2x+1, x=4 and y=3 about the line x=-4

A: Solution:-

Q: 8. Sketch the region bounded by y = between x 1 and x = 2 then find the are of this x2+x region.

A:

Q: 4. Find the area of the region bounded by the line y=x and the curve y=x^3. Show the region.

A: Draw the region and find intersection point then integrate

Q: Find the area of the region bounded by the graphs of the equations y = e, z = 0, z= 5, y = 0

A: To find the region bounded by the following graphs of equations,  y = ex  x = 0 x = 5 y = 0

Q: 17) Find the total areas of the regions bounded 17.1) y = e", y = e(2 – x), y axis |

A:

Q: 3. The region bounded by y = x³, y = x, x > 0 is rotated about the x – - axis.

A:

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

A: Area between the curves

Q: 9. Consider the region bounded by the curves y = e", y = e¬¤ and y = 2. %3D

A:

Q: 4. у%3D 2х—х2, y = 2x² – 4x

A:

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

A:

Q: 3. Region bounded by y = x2, x=0 and y=15, rotated about the x-axis %3D

A:

Q: x=y² – 4y (-3,3) wto rigin

A:

Q: Sketch the region and find its area. 36 and y 1 9+x2 The region bounded by y= -

A: Given     y=369+x2,  y=1

Q: Sketch the region enclosed by the curves and find its area. 1 y = 3x2 .y = 3Va,x =and x = 1 4

A: The area between curves can be obtained using definite integration. The limits of the integration…

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

A:

Q: Determine the area of the region bounded by y = xvx2 + 1, y = 1 e 2x, x = -3 and the y-axis.

A: First draw the region defined by these curves. If the region is bounded, then use the area under the…

Q: - the region 1, x = 0, y = %3D

A:

Q: Sketch the region enclosed by the given curves. y = 7 cos(2x), y 7-7 cos(2x), 0 sxs x/2

A:

Q: 0otained by rotating the region bounded by the given curves about the specified line y=x, y= 27, x-…

A:

Q: 1. Region bounded by y= x, x=0 and y=15, rotated about the x-axis

A: Volume of solid revolve around y axis

Q: Define the region bounded by y = 0, y=4Vx , y = 24 - 2x and y = X -4 using vertical and horizontal…

A: The equations of the bounding sections are: y=0y=4xy=24-2xy=x-4 The equations are plotted on a…

Q: ) Draw the enclosed region 0 and x = -3. √1- x, y = 0 and x Question 2 ( by the curves y = √1- x, y

A: Given,  y=1-x, y=0, x=-3

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

A:

Q: 1/ Find the area of the region bounded by the line y = 1- x and the curve x = 3 - y

A:

Q: Consider the region bounded by the curves y= X,y= 3-2x, and y=3 %3D

A: 1) Shaded the region :

Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

A: Let us consider the curve y=f(x) and y=g(x) The area under the curve y=f(x) and y=g(x) in the…

Q: y=√x, x = 4, and the x-axis.

A: Consider the given function y=xand the x-axis

Q: Region bounded by y=Vx, x=0, and y=2

A: We have to find out the volume of the given solids.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.