Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the x-axis. 447 45m

Q: Find the area of the shaded region in the following graph: y 2 y = sec? y = sin(4x) T/8 T/4

A: The figure is given by To evaluate : The area of the shaded region.

Q: Find the area of the surface obtained by rotating the curve about the x-axis. 2) 20 sys 3 Select the…

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Q: Find the area under the t-curve to the right of  t = 2.539 (degrees of freedom v =19 )

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Q: HW: Find the area of the surfoce generaled by revolving 1. x= Vy,1sy s8 about the x- axis.

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Q: 22. Find the area enclosed by the curve r²-4coss. c. 16 B. 8 D. 2

A: Given equation of the curve is r2=4cosθ. We know that, area under the curve is given by A=∬Rrdθdr.

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Q: Find the area enclosed by the curve 5y? = 16x and y² = 8x – 24. Answer: sq. u.

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Find the surface area generated by rotating the parabola arc y = x² about the x-axis from x = 0 to x…

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Q: Find the area enclosed by the given curves. y = - 4sin x, y = sin 2x, 0 SXST Select one: OA. 1 2 В.…

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Q: Find the area enclosed by the x-axis and the curve y=1tet v=t-t2. (Show all work separately and…

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Q: c) Find the area enclosed between the curve y = cos? x and the line y = 1: r = 1 cos r

A: This question is based on application of Integration.

Q: Find the area bounded by the curves: 3r a2 242' +y = 5, and a 0. This area is in the fourth quadrant

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Q: ex Find the surface areaof the cone 8 =h ä Jxt where his the height of the coneand aisthe radiusof…

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Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: Find the surface area generated by rotating the semi-circle x = 49 – y² be- tween -7 <y < 7 about…

A: Calculate surface area: S=∫-772πx1+dxdy2dy   =∫-772π49-y21+ddy49-y22dy   =∫-772π49-y21+-y49-y22dy…

Q: Q.8 Find the area of the curve bounded by the curves y = x* and y = 3x+4.

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Q: 13. The area enclosed by the curve r=4sin0, 0<oST is: А. 2n В. 4Tt С. 16T D. 8Tt Е. 6T

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Q: Find the area enclosed by the curve  x = 3i y= 2i - i^2

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Q: Find area of the region between y = xe and its asymptote in the first quadrant. A) 1 В) 2 С) 3 D) 4…

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Q: Find the area of the surface obtained by revolving the curve y=2/4=x, for 1<«<4, around the x-axis.…

A: Explanation of the solution is given below...

Q: Find the area between the curves. x-0, x=3 y-2e y-r* +eD y%3DeX+ e The area between the curves is…

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Q: 27. Find the area enclosed by the curve r = a (1 - sin e). A B. 2a² C. 3a² D.

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Q: Q2) Find the area inside the circle r 1 and outside the cardiod r = 1 - sin(0). r² and y = 1

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Q: Find the area between the curves y = e* and y = ex (shown below) from x = 0 to x = 2. (Leave the…

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Q: The area which is enclosed by the curve x2 – 10x + 4y + y? = 196 is O 12n 15n О 14п 144n O 225n

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Q: Find the area bounded by the given curves. y = x? - 5x + 4, y = -(x - 1)? Select one: OA. Z 8 В. 9…

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Q: Find the area of the surface generated by revolving y = V4 – x² over the interval –1 < x < about the…

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2…

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Q: Find the area inside the curve x =1– t², y =t-t (-1<t<1).

A: Given, The curve  x = 1-t2   and  y = t -t3 -1≤t≤1   We have to find the area inside the curves.

Q: 0. Find the area enehred by the following curves: * =y-2 and X =y.

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Q: Find the area enclosed by the given curves. 10) y = - 4sin x, y = sin 2x, 0 < x < n B) A) 16 C) 8 D)…

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Q: Find the area enclosed by the y-axis and the curve x = t - t2, y = 1 + e-t .

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Area of surface generated by a curve y=f(x) when revolved around y -axis  S=∫ 2πx dsWhere…

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x2 –…

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Q: 3. Find the area in the first quadrant by the curves x? + y? = 9 and 4x² + 9y? = 36 on the first %3D…

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Q: Find the area inside both curves: r = 3+ 2sine and r = 2

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Q: What is the area of the region in the first quadrant enclosed by the graphs of y = sin (2x) and y =…

A: To find the area of the region in the first quadrant enclosed by the graphs of y=sin(2x) and y = x…

Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n 9. 5n 6. D

A: We need to find area.

Q: Determine the area enclosed by the following curves r = 2+ cos 0 97/2

A: According to guideline we should able to do only one question at a time #1 Determine area

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to…

Q: Find the surface area of revolution of the function f(x) =V 4x+1 about the x-axis on the interval…

A: Given a function : f(x)=4x+1 It is revolved around x - axis on the interval [1,5] We need to find…

Q: Find the total area of the region between the curve and the x- axis. y = (x + 5) ; 1 < x < 9 Select…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Find the length and the cuur vature of the Smooth eurve rCt) = (snt)i t(5 cost); + (sint)K from o to…

A: Given curve is rt→=sinti+2costj+sintk and given t from 0 to 2π We have to find the length and…

Q: Find the area enclosed by the y-axis and the curve x = t – t²,y = 1 + e¬t.

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Q: Find the area enclosed by the given curves. y =x, y x2 113 1_6 1의112

A: solve the following

Q: y=x?,x=2 ANDY =0 20 USIHG DOUBLE IUTEGRATION FIND THE AREA BOUNDED BY THE CURVES

A: Topic = Application of integration  Area = 4

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +…

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Q: Find the area under y = te-0.31 for 0 < t < 5. Answer:

A: here we will find the area under y=e-0.3t between given limits,

Q: Q5/ Find the area of the surface generated by revolving y= where 0sxs 2, about the X-axis.

A: The surface area generated by revolving a curve f(x) over the interval [a,b] about the x-axis:…

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x2 –…

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