Q.1 Find the area of the surface generated by revolving the given curve about the y - axis x = /9 – y?, - 2

Q: 6. Let C be the positively oriented circle centered at the origin with radius Without evaluating the…

A: We will use the principal branch of logarithm

Q: 7. Let C be the curve y = 3x for 0 <x S 1. 0.5 Find the surface area of revolution of C about the…

A: Given: y=3x3 for 0≤x≤1

Q: 2/ determine the area of the region enclosed between the curves x= 0.sy-3 and y=x-1? ans/ 18

A: Topic- Application of Integration

Q: Q3/A/Find the surface area generated by rotating the curve y = cos h(x) about x axis for 0≤x≤1 www

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Q: Find the area between the curve y = cos (2x) and the line joining the points (pi/4, 0) and (pi/6,…

A: Area of the region is (2-√3)/4

Q: 1. Find the area of the region bounded by the parabola x = 3 + 2y – y? and the line 2x + 3y = 6.

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Q: 1. Find the first quadrant area bounded by the curves 20 y = 4+x2 y = 1 and x = 0

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Q: 15 Find the exact area enclosed between the curve y = v4 – x and the line r-y+2 0.

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Q: 1. Find the area of the region enclosed by the given curves. y = cos x, y = 2 – cos x, 0 < x <T

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Q: 1(b) Find the surface area generated by revolving the portion of the curve y x2 + 1 between x=0 and…

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Q: Find the arc length of the graph of the function over the indicated interval. x = = + 2)/2, osys7…

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Q: 5 for 0<x < 7. %3D Calculate the area of the segment between the curves y = sin x and y =

A: To find the area between the curve

Q: Find the area of the surface obtained by revolving the given curve about the x-axis. on (0, In(3)

A:

Q: 4- Find the area of the region bounded by the curves y - 3x = 4 and 3r – 2y = 11. a) b) e) d) e)

A: The equation of the curves are : C1 :  y2-3x = 4  ⇒ x = y2-43 C2 : 3x-2y = 11  ⇒ x = 2y+113 To…

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

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Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…

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Q: Q:Find the that is POT HOh of the curve area of the suoface generated by revolving the Y=x² between…

A: Using area formula we have

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Find the area of the region bounded below by the curve y , to the left by the curve y = || cos(x)…

A: We have to find the area of the region bounded below by the curve y=12bounded to the left by curve…

Q: S(x) = }x³ + d [1/V2, 1]

A: SINCE YOU HAVE ASKED MULTI PAL QUESTION IN ONE REQUEST SO WE WILL BE ANSWERING ONLY FIRST QUESTION.

Q: 7. The integral used to find the length of the curve y=xbetween x = 0 and x = 4 is (Circle your…

A: I have Provided this answer in step-2.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Find the area of the surface generated when the given curve is revolved about the y- axis. y =, for…

A: Answer is optional B

Q: Show that the area of the region in the first quadrant enclosedby the curve y = (1/a) cosh ax, the…

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Q: 4/ Find the area of the region enclosed between the curves y= cos 2x y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the area under the curve y = e' eº between the linest = 0 and t = 1. 12e + ee None of these ee…

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Q: 1. Find the surface area generated by rotating the curve y = /2x + 4 about the x-axis for x = 2 to x…

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Q: 3) Find the area of the surface formed by revolving the graph f(x) = ;x³ about the x-axis over the…

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Q: Q1/ a) Sketch the graph of y = sin2x for 0 <x SI %3D b) find the total area bounded by the curve and…

A: This is a problem related to calculating area under curve of the polar equation. Based on the…

Q: 1)Find the area bounded by the given curves. a)y = 3x2 − 12 and y = 0 b)y = x2 − 2 and y = 10 −…

A: we have been given the function y=3x2-12 and y=0 and the formula of the area under the curve is…

Q: Find the area between the curves. 4x y3e 8. x= 0, x= 3, y= 2 e y=e+ e

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Q: 10. Calculate the area of the shaded region bounded by the curves y = 1+4cos'x and y=-sinx, as…

A: From the given figure to find the area enclosed by the given region is bounded by the above from…

Q: 4/2 x2 -1 for [0, 1]. Find the length of the curve y=- Find the area of the curve bounded by the…

A: (7)We will find the length of the curve.

Q: Find the area of the region lying between the r-axis and the curve In(3x) – 1 y = to the right of…

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Q: 4. Find the area between the curves y = x2(x – 3) and y2 + 8y – 16x + 48 = 0

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Q: f(x) = }x* + [1, V2]

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Q: Find and shade the area to the left of cach positive z value. Given Curve 1. C-0.9s 2. z= 1.47

A: As per company guidelines I solved exactly three subparts of the question.thank you

Q: Question 8 Calculate the area of the surface generated when the curve, y = Vx is revolved on the…

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Q: 3. Find the area of the surface generated by revolving the graph of f(x) := sin x about the x-axis…

A: Follow the procedure given below.

Q: Find the area of the “triangular” region in the first quadrant bounded on the left by the y-axis and…

A: Given: Find the area of the “triangular” region in the first quadrant bounded on the left by the…

Q: Q2/ Compute the exact area that is inside the circle (r = 14) and outside the petal of the flowered…

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Q: 2. Find the area bounded by the curve ay² = x³ and the line x = 4 a. 3. Find the area of half an…

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Q: for the Surface Area below .. what is * ?the radius of revolution Q3/ The arc of the curve x=Vy,…

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Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and x=-2 and x=5?…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y – T = 2 and I = 4. In…

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Q: Q4:- find the area enclosed by the given curve 1- The parabola x = -y? and the line y = x + 2. 2-…

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Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: 2. y = ln(x²-1), 2 ≤ x ≤ 3 ;y-axis

A: The given problem is to find the area of surface of the revolution of the given curve over the given…