Q3 Determine the area of a surface when the curve y==x² 3 1 x², 1

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: We know that surface area generated when the given curve is revolved about the given axis…

Q: What is the shortest distance from the curve x^2+xy+y^2=16 to the origin?

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Q: 4/2 % for 0 sxsl. Find the length of the curve y+1=- 3

A: The equation is y+1=423x3/2.   Differentiate with respect to x.…

Q: Find the area bounded by the curve y=- 16 (A) 16 square units B) 10 square units 8 square units D 4…

A: If y=f(x) and y=g(x) are two continuous function on a,b and f(x)≥g(x) on a,b , then area bounded by…

Q: Q.8 Find the area of the surface generated by revolving the curve x = 9-y. (-25ys2) about the…

A: The solution are next step

Q: Find the length of the curve y 2ln(x) from x 1 to x =4. %3D

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 3x…

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

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Q: Find the Exact Area of the surface obtained Retating by the curve asout the X-axis 9x=18+g2 25Y56

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Q: 7. Find the area of the surfaces generated by revolving the curve r = 2e®² for 0<0s- about x- axis.

A: The solution are next step..

Q: Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about…

A: Given y=25-x2, 0≤x≤4 A sphere is a geometrical object that is a three-dimensional analogue to a…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 12…

A: This question is based on application of Integration.

Q: Find &y:3mは や Rirst * = In in the the between the Curve area the line メ=H quadraut

A: We first sketch the region using a graphing calculator

Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: Given   Area of surface area revolved about x axis formula is

Q: Find the area of the surface generated when the given curve is revolved about the given…

A: We know that,

Q: Q4:A/ Find the length of an arc of the curve y = (1/6) x + (1/2) x from x = 1 to x = 2.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Which point on the curve y = Vx – 1 + 8 is closest to the point (5, 8)? (x, V) = ( What is this…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y= 2x,…

A: Given curve: y=2x, for 35≤x≤99

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. x2…

A: Given curve is y=x242≤x≤4   Axis of rotation is y axis

Q: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

Q: Q4. (a) Divide “a” into three parts such that their product is maximum.  (b) Find the asymptotes of…

A: (a) We have to divide a number a into three parts such that their product is maximum. (b) Find the…

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y=x3 + for…

A: surface area of the curve is given by  S=2π∫abf(x) (f'(x))^2+1 dx

Q: Find the length of the curve y = x3/2 from x = 0 to x = 3.

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Q: The area which is enclosed by the curve x2 – 10x +4y + y² = 196 is А. 12п В. 15п C. 144 D. 225n

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Q: FIND THE LENGTH OF THE CURVE 9y = x(x – 3)´ from X = 1 to x = 4 %3D 10

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Q: Find the length of the curve x = 3t2 + 10, y=2t3+ 11, O<t<1.

A: Given,         The length of the curve x=3t2+10 , y=2t3+11 , 0≤t≤1We know that,         The length…

Q: What is the maximum vertical distance between the line y = x + 42 and the parabola y = x for -6 s xs…

A: Consider the equation y=x+42 and y=x2; -6≤x≤7. Substitute y=x+42 in y=x2.…

Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: Find the length of the curve y x7 from ¤ = 0 to x = 15. 2/3

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Q: 2. Noemi had a 3 × 5 ft² piece of plyboard. She needs to have it cut it into a parabolic shape that…

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Q: To design the interior surface of a huge stainless-steel tank, you revolve the curve y = x3, 0 ≤ x ≤…

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Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Q2/ Find the first moment about y-axis of the region in the first quadrant bounded by the x-axis,…

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Q: Find the length of the curve y Inx at (2<x< 4)?

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

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Q: Find the area bounded by the curve y=- 16 A 10 square units B) 16 square units Ⓒ 8 square units (D)…

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Q: Find the length of the curve 3 y = x7 – 2 from x = 0 to X = 4.

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Q: 6. Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t < 2

A: Here given  Differentiate the above function with respect to t

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 12…

A: Consider the curve y=12-3x, 1⩽x⩽3. Surface area of solid when curve is rotated around x-axis is…

Q: Find the area of the surface generated when the given curve is revolved about the given axis 1 = (e…

A: Given y=112e6x+e-6x  ,for -2≤x≤2  Area of surface of curve when revolved about x-axis…

Q: 45. What is the maximum slope for the curve y= In(x +9)? %3D O A A 3 OB In 9 OC 3 OD There is no…

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Q: 2. Noemi had a 3 × 5 ft² piece of plyboard. She needs to have it cut it into a parabolic shape that…

A: The plyboard has dimensions 3×5 ft2 So, the area of the board is 15 ft2 The area of the shape needed…

Q: The area of the surface obtained by rotating the curve y = 36-x2, -6<xS6 about the x-axis is

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Q: What is the longest distance from the curve x ^ 2 + xy + y ^ 2 = 16 to the origin?

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Q: (#2) Find the area of the surface generated by revolving the curve about x-axis for f(x) = 2Vx on…

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Q: 3 Find the area bounded by the curve y=-x3- 16 A) 8 square units (B) 10 square units C 4 square…

A: The region is bounded by the curves y=116x3-34x2+3x and the line y=x

Q: Find the length of the curve r(t) = for 0 ≤ t ≤ 2π Enter the exact value.

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Q: Y=Ğ jfor exS3; about The X-axi's

A: The formula for the surface area generated by rotating the curve  A=2π∫abf(x)a+(f'(x))2dxHere…

Q: Find the length of the curve y= (x+2)3/2 for a in the range 0 <I< 2. %3D

A: find the length of the curve y=x+232 for x in the range 0≤x≤2 solution length of the curve is…