sin? t, y = %3D Find the area enclosed by the parametric curve x = cos t and the y-axis.

Q: The curve y= sinh x, 0< x <9 is revolved around the x-axis. Find the area of the resulting surface.…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 0 < x < 12

A: Recall: when the function y= f(x) is rotated around y-axis . the interval a≤x≤b,then the surface…

Q: Find the area. Find the area enclosed by the ellipse z=3 cos(t), y = 12 sin(t), 0<t < 27.. A) 9n +…

A: We need to find area.

Q: r =1+cos0 Find the total arc length of the cardioid

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Q: Q2/ Let the curve (r = sin e + cos e) 1. Identify the symmetry of the curve. Then sketch the curve…

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Q: The parametric curve Osts is rotated about y-axis. Find the surtace area of the obtained ly= | =…

A: Given parametric curve is x=cos(t),  y=sin(t)+t When curve is rotating about y axis, then surface…

Q: The curve given by x =sqrt(a2+y2) where -a ≤ y ≤ a; is rotated about the y –axis. Find the…

A: Given curve is x=a2+y2  where -a≤y≤a Differentiate the given curve with respect to y, dxdy=ya2+y2…

Q: ind the arc length oI the parametric curve. 0 = 6 cos (t), y = 6 sin(t), z = 8t; 0 stST

A: Given: x=6cost, y=6sint, z=8t

Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: a. Find the length of one arch of the cycloid x = a(t - sin t), y = a(1 - cos t). b. Find the area…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 5 – x2, 0 <…

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Q: The area of the region inside r = 6 cos 20 the rose and outside the circle = 3/2

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Q: Find the area enclosed by the following parametric curves and the y – axis. Find its exact area, no…

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Q: Find area the generaled by revolving SurFace flタye -254 F2 y-a> WANAY

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Q: cos z The value of the integral dz around the circle z = 2 is z'

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Q: Arc Length, x=1/2(e^y+e^-y) from y=-1 to y=1

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Q: 5 sin t (where t e R) is A, then what is A? %3D If the area enclosed by the curve x = 5 cos³ t and y…

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Q: Find the area enclosed by the given parametric curve. (Use a calculator to look at the graph.) y =…

A: given

Q: The paraterized curve below is rotated abour the x-axis. Find the area of the surface. x = cos³ (0)…

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Q: 6. The area enclosed by the parametric curve the x-axis, the y-axis and the parametric curve x = t²,…

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Q: A.Sketch the two curves: B. 1. r1 = 3 cos 0. 2. r2 = 1+ cos e Find the area of the region that lies…

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Q: sin(x? + y?) dA, where R is the region in the first quadrant R. between the circles with center the…

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Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 0SxS 12

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Q: The infinite curve y = e¬*,where x > 0 ,is rotated around the x –axis. Find the area of the…

A: Find area of surface.

Q: Find the Laplacian of cylindrical coordinate p?cose.

A: Given form is in cylindrical coordinates.

Q: What is the area of one petal of the curve r = sin 30 ? AA= sq. units A-3 sq. units B. C. A = π sq.…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 2, 0 < x <…

A: Find area of resulting given surface

Q: https://prnt.sc/s9mq7f

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: licit form. dy da a(sin(y) – v)

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Q: ey + e-y Find the area of the surface generated by revolving the curve x over 0 < y < In(7) about…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 5 sxS 21

A: The equation of the given curve is y=13x32.The curve is bounded between x=5 to x=21.We have to find…

Q: 1. the area of the curve r^2 =a^2 cos 2 θ

A: Formula: The area of polar curve r=f(θ) is given by, A=12∫αβr2 dθ Given: r2=a2cos2θ

Q: Q1// Converting r= 12 cos 0 from polar to the equation of a circle? Q2// Find the resulting volume…

A: Please refer the attached image for complete solution.

Q: Locate the centroid y̅ of the area.

A: The formula for the centroid y¯ is y¯=12A∫ab(f(x))-(g(x))2 dx where A=∫abf(x)-g(x) dx Here f(x)=a…

Q: I graphed the corves, and I evaluated but I believe I got the boundaries for the integral wrong. May…

A: Sketch the given curves

Q: Sela'y-J) dy. Cis the arc of the curve y- Vx from (1. 1) to (4, 2)

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Q: y = 2(1+cos( Ɵ)) Find the area of the surface of revolution formed by rotating the upper half of…

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Q: axis from t = 1 to t = 4. Find its Find the area enclosed by the following parametric curves and the…

A: Here we have to find out the area bounded by given parameters curves

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 3 - x2, 0…

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Q: Find the surface area generated by revolving one arc (first quadrant) of y = cos x about the x-axis.…

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Q: The area of the region that lies inside the cardioid curve r = cose + 1 and [(cose + 1)² = cos²0]de…

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Q: Find the area of the region that lies indie the circle r = 3 sin 0 and outside the cardioid r = 1 +…

A: To find the area of the region that lies inside the circle r = 3 sinθ and outside the cardioid…

Q: me total area of the shaded region shown to the right given by the curve y= 6( sin x)/1 + cos x.

A: Given that  y=6sinx√(1+cosx) To find the total area of the shaded region

Q: Find the area of the curve r²=16cos(theta)

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Q: B(t- sint), y = B(1+ cost), in a) Find the arc length of the parametric curve x = the range 0 <t s÷,…

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Q: ) Consider the Cardioid r = 2 - 2 sin 0. (a) Find its total arc length. (b) Determine the area of…

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Q: a. y = 22* In(cot(nx)²) b. y = sec?(Arcsec(\x) + e-x*) %D

A: Given:- a. y = 22x ln(cot(πx)2)  b. Y = sec2(Arcsec(x)(1/3) +e-x^2  To find :- Derivative of given…

Q: If the area enclosed by the curve r = 2 cos t and y = 2 sin t (where t E R) is A- then what is A? 8.…

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Q: using polar cordinade to thd iasde -fnj +x. area

A: Area using polar coordinates is given by A=∫∫A r dr dθHere x=r cos θy=r sin θx2+y2=r2