Find the area of the surface obtained by rotating the curve x = 6 cos 0, y = 6 sin³ 0, 0< 0

Q: the surface area of the surface generated by revolving the curve c(t) = (t, sin(t)) about the x-axis…

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Q: Find the surface area of the solid by rotating the curve x = cos3θ , y = sin3θ for θ = 0 to θ = π/2…

A: Given that the curve x=cos3θ       y=sin3θ         0≤θ≤π2 To find the surface area of the solid by…

Q: Find the area of the closed region enclosed by the curve defined parametrically by x = 4 cos t, y =…

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Q: cos(3t), y = 6+ sin(3t) on 0 <t <

A: Please see the explanation below

Q: Find the area of the surface generated by revolving the curve x= cos (3t), y = 5+ sin (3t) on 0sts,…

A: Suppose parametric curve rt=xt,yt for a≤t≤b are revolving about the x-axis then surface area…

Q: Find the area enclosed by the given parametric curve and the y-axis. sin²(t), y = 8 cos(t) X = y 0.2…

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Q: Find the surface area for x=3( θ – sin θ ) , y= 3(1-cos θ ). , when rotated along the x axis.

A: Given x=3θ-sin θ,  y=31-cos θ  The surface area is rotated along the x-axis. Then y=0, 31-cos…

Q: 12. Find the surface area for the surface of revolution formed by revolving the curve y = v4 – x?…

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Q: 16 The area under the curve 4y? (x2 + 1)3 was rotated about a line located to the left 9 of y – axis…

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Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = a cosº…

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Q: Calculate the area of the surface formed by rotating the curve r = 2a cos 0 around the line 0 = pi/2

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Q: Find the area of the surface generated by revolving the C = ((x, y): x = 3 (t – sin t), y = 3 (1-…

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Q: cos(2t), y = 4+ sin(2t) 0 <t< on 2

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y…

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Q: Find the area of the surface generated by revolving the curve about the x axis y=√x, 0≤x≤2( Note: I…

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Q: Find the surface area of the object obtained by rotating y = sin(2x) , 0<x< about the x-axis.

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Q: Find the area of the surface generated by revolving the curve x = 2 cos θ,       y = 2 sin θ,   0 ≤…

A: If x=f(t), y=f(t) then surface area is, About x axis: S=2π∫abydxdt2+dydt2dt About y axis:…

Q: Find the area of the surface generated by revolving the parametric curve x = cos² t, y = sin² t (0 ≤…

A: To find: The area of the surface generated by revolving the curve about y-axis. Given: The…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = V, 0,5 s…

A: First I have written the formula of are of surface of revolution about y axis on an interval, just…

Q: Find the area of the surface formed by revolving the circle r = f (0) cos 0 about the line θ = π/2.…

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Q: Find the surface area of the solid generated by rotating the curve y = x² about the y-axis over the…

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 6 cos(e), y…

A: Solution

Q: Find the area of the region enclosed by the inner loop of the curve. r = 6 + 12 sin(0)

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Q: Find the area of the surface generated by revolving the curve defined by x(t) = 3 cos t, y(t) = 3…

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Q: 36. Find the area of the surface generated by revolving the para- metric curve x = cos² 1, y = sin?…

A: Definition used -                               Area of the surface generated by revolving the…

Q: Find the area of the surface generated by revolving the given curve about the indicated axis. 1. x =…

A: Consider two parametric equations and with . Then the area of the surface obtained by rotating…

Q: Find the area of the surface generated by revolving about the y-axis the arc C given by C = { (x,y)…

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Q: Find the surface area of the surface generated by rotating y = cos x, 0 ≤ x ≤ π/2, about the x-axis.

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Q: Find the area of the surface obtained by rotating the given curve about x-axis. x=cos (t),…

A: We have to find the area of the surface obtained by rotating the given curve about the x-axis. x=cos…

Q: Express the surface area of the surface obtained by rotating the graph of y = 4 sin (x) for Sx as an…

A: To express: The surface area obtained by rotating the graph of y=4sinx for π6≤x≤π3. Concept used:…

Q: Find the center of gravity of the region bounded by the x-axis, the curve y = sec x, and the lines x…

A: Consider the given question,The graph of the curve y = sec(x) and the line x = -pi/4, x = -pi/4 is…

Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: 1. Find the area of the surface generated by revolving the parametric curve x=r cos 0, y = r sin 0…

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Q: Let x=sin^2t, y=cos^2t. 0</=t</=pi/2  Find the surface area about x-axis

A: Given, x=sin2 ty=cos2 t 0≤t≤π2 We have to find surface area about x-axis. Chain rule for…

Q: 1(a) Find the arc length of the curve 2x = 3y2/3 over the interval from y=0 to y=1  1(b) Find the…

A: (a) The arc length of the curve 2x=3y23 over the interval y=0 to y=1 can be calculated by using…

Q: Find the exact arc length of the curve 2xy = y² + 4 over the interval 2 ≤ y ≤ 4. Find the area of…

A: Given: 2xy=y2+4 over 2≤y≤4 to find the arc length of the curve and given the another equation is…

Q: 8) Find the area of the surface generated by rotating about the x-axis the arc of the curve y x…

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Q: Find the area of the region enclosed by the curve a = 6 cos(t) – 3 sin(2t), y = 7 sin(t) with 0 <t <…

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Q: Find the area under the curve for the parametric function defined by the equations x(t) = -2 cos t,…

A: Given: xt=-2cost  , yt=3sint , 0≤t≤π2 Formula used: The area under a parametric curve: A=∫abytx'tdt

Q: Find the area of the closed region enclosed by the curve defined parametrically by x = 4 cos t, y =…

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Q: find the area of the surface formed by revolving the cardioid r= a(1+cosθ) about the x-axis

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. Recall: S=2n |…

A: Find the surface area

Q: Find the exact arc length of the curve over the interval 24xy = y* + 48 from y = 2 to y = 4 . Eind…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: the surface area of a .17 rotating the curve y = x power 3 around the x - axis between the points…

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Q: Find the area of the surface generated when the indicated arc is revolved about the y -axis. 6. y =…

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Q: Find the area of the regions bounded by the parametric curves and the indicated values of the…

A: We will find the area.

Q: The area of the surface obtained by rotating the curve y = et +e asxsb, about the x-axis is 1/2 e2 +…

A: Find the surface area rotating the curve about x axis

Q: 1. (a) Find the exact area of the surface obtained by rotating the curve y = e* about the x-axis…

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.