Find the surface area of revolution about the x-axis of y=4x+3 over the interval 2≤x≤5

Q: Find the area of the region bounded above by y AY -x² + 8 and below by y = x². ==

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Q: find the area of the region that is enclosed between the curves y=x2+2x       y=x+2

A: The given curves are y = x2+2x and y = x+2.

Q: Find the area bounded by the curves y2 = 4x 4х + у — 6 %3 0

A: We need to find the area bounded by the curves y2=4x4x+y-6=0

Q: Find the area A of the region between y = 4x2 + 10 and y = 2x + 7 over the interval [-3, 2].

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Q: Solve for the area of the region bounded by x² = 4y + 4 and x = y = 2

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Q: Solve the area bounded by y3 + 10y + 5 = x², the y-axis and the lines y=0 and y=3 *

A: Given:  The boundary curve1. y3+10y+5 = x2  OR x = ±y3+10y+5 2. y=03. y=34. x=0 y-axisThe given…

Q: y = e²x and x - 2y + 5 = 0

A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

Q: Find the area included between x + y* = 4x and y = = x above x-axis.

A: Consider fx and gx be two functions between a,b and fx≥gx .Then area between graph of these two…

Q: What is the area of the region between the curve y = 3x² and the x -axis on the interval [O, b]

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Q: Find the area of the curve y = x° – 2x – 3 between x =- 1 to x = 3.

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Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

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Q: Find the area of the region between the curves y = x2 +9 and y = 10 + 2x over the interval [-1,3].

A: Here we have to find the area of the region between the curves y=x2+9 and y=10+2x over the interval…

Q: Find the area contained between the two curves y = 3x - 2² and y=x+x².

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Q: Find the total area of the region between the curve and the x-axis. 2) y = (x + 1/x; 4 sx s 9

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Q: Find the area of the finite region in the first quadrant bounded above by y=4 and below by y=4x^3

A: Given,

Q: Q- Find the area of the region bounded from the right by the curve x = 4 - y? ,from the left by the…

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Q: y = e²x and x - 2y + 5 = 0

A: I am attaching image so that you understand each and every step.

Q: Find the area between the two curves y = x^2 and y = 2x – x^2

A: Given:     To determine: The area between the two curves.

Q: Find the area of the region between the line y = 2 - x and the x-axis, for 0 < x≤ 4.

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Find the total area of the region between the curve and the x-axis. y= 2x-x, 0sx s2 O A. 3 O B. 3.…

A: Explanation: Given that: y=2x-x2 Concept: The area under the curve  A=∫abfxdx here a=0b=2

Q: Find the area of the region bounded by x = y² and 3y = 2 +x

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Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the area between the curves y = x²(x – 3) and y² + 8y – 16x + 48 = 0 -

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Q: Find the area bounded by the curve y = 3x²/4 and the lin 3x – 2y + 12 = 0.

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Q: Find the area of the region enclosed by the line x = 2y and the curve x = y3 - y?

A: To calculate the area of the region bounded by the curves x=fy and x=gy, use the formula…

Q: Find the area between the curves: y2=x x2– 2x + 3y = 2

A: we have to find the area between the curves :

Q: Find the area bounded by the curves y = 6 – x² and y = 8 – 3x. 1 a) 6 1 b) -/6

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Q: Find the area bounded by the curve 5y^2 = 16x and the curve y = 8x – 24.

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Q: 2. Find the area enclosed between the curves y =x² +2x +11 and y =-4x+2.

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Q: Find the area between the curves x=y² –1 and x = 2y² – 2.

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Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: 2. Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

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Q: 2 y = x - 3x, y=x 3r.

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Q: Find the area between y = ( x − 2 ) ex and the x axis from x = 2 to x = 6.

A: The area above the x-axis and between the curve  y = ( x − 2 ) ex is given by:  ∫26(x-2)exdx

Q: 4. Find the area bounded by the curve r = 3y – y? and the line y + x 3.

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Q: Find the total area of the region between the curve and the x-axis. 7) y = 2x - x2; 0 sx<2

A: Given, The curve  y = 2x-x2   ;  0≤x≤2 We have to find the area of region between the curve and the…

Q: Find the area of the region bounded by = y ; x=2y²_4

A: The given functions are x=y2 and x=2y2-4 To find the area enclosed between the curves.

Q: What is the area of the region between y=x²-2x-3 and the x-axis from x=0 to x=4? H

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Q: Find the area between the curves y = x² + 5x and y = 3– x² between a = -2 %3D and z = 0.

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Q: Find the area of the region between x = y3 and x = 3y — 2.

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Q: 3. Find the area enclosed by the two curves x = y² – 4y and r = 2y – y². |

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Q: 3. Find the area of the region between the curves y = Vx and y =x2.

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Q: Find Mx for the area bounded by y^2=4x and x^2=4y.

A: Given problem:- Find Mx for the area bounded by y2 =4x and x2 =4y.

Q: Find the area between the two curves y = 3 y = x² – 1 1+ x2'

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Q: Find the area of the region between the curves y = x2 + 9 and y = 10 + 2x over the interval [-1,3].

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Q: Find the area bounded by the curves x2 = 4y + 4 and the line y = x + 2.

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Q: Find the area that would be in the shaded region given that   Z  =  0.74 and it is greater than…

A: Solution: From the given information, Z=0.74.

Q: Find the area bounded by the curve x^2=4y+4 and the line y=x+2

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Q: find the area of the cylinder z=x+y2 that lies below the second-quadrant area bounded by x axis,…

A: Given that: find the area of the cylinder z=x+y2 that lies below the second-quadrant area bounded by…

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.