Determine the area of the right half of the cardioid formed by r = 8 +7 sin 0 16 14 12 10 8 6 4 -2 -4 -10 -8 -6 -4 -2 4 10 rea of cardioid right half is Submit Answer Tries 0/20

Q: Locate the centroid (x coordinate only) of the parabolic area.

A: To Find: Locate the centroid (x coordinate only) of the parabolic area.

Q: Find the area of the surface generated by revolving x= 4/9 - y,0sys about the y-axis. 16 x=49-v 12

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Q: By using double inpegrals, Find Ihe area the enclosed by of region b) cur ve x:- yo, Line e) curve…

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Q: sketch the regions bounded by z=0.67 and z=1.56 and find its area. show your solution in your paper

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Q: Find the area of the region that is the intersection between curve r = 3 sin 0 and curve r = 2- sin…

A: Given that  the two curves are:

Q: Find the area of the surface generated by revolving the curve on the indicated interval about the…

A: answer is mentioned below

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by =1-2y²-3r² and the…

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Q: Find a result by using variable separa Vx/y-1 b-y'ý+x-0 dx Find a result by using homogenous for

A: A)x y dydx=1y dy=dxx∫y dy=∫ x-12 dxy3232=x1212+C'2y3=3x+3C'2y3=3x+C

Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 4x + 4. (Use…

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Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3 Compute the rotated area bounded…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: О 3D 2х — у, 1<x<2 -

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9 Vx,x = - and x = 1…

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Q: Q1) Find plane area bounded by y = 2,y = 6 – x, and y = 8 - 3x using double %3D

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Q: Find the moment of inertia with respect to y-axis the area bounded by x2- 4y + 8 = 0, the lines x =…

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Q: Find arc length and the surface area generated by rotating. x2 1 y +-;1< x < 2, around y – axis - 3…

A: Given that y=x23+1x, 1≤x≤2 around y axis. The formula for arc length is L=∫ab1+dydx2dx…

Q: Set up the double integral in rectangular coordinates to compute the area of the surface z = x2 +…

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Q: Show that the volume of a spherical block can be approximated by ∆V ≈ ρ2 sin ϕ ∆ρ ∆ϕ ∆θ.

A: Suppose x,y,z is a point at fixed distance from the origin in the 3D-space.

Q: Consider the double integralf dydx. By converting to polar coordinates, the limits of integration of…

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Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Area of the surface given by the equation z=fx,y is given by S=∫∫A 1+zx2+zy2 dA where A is the…

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Q: Find the area of the region enclosed by the curves y = 4 sin x and y = 4 sin 2x for 0sxST. y = 4 sin…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: A trough is filled with liquid of weight density 60 N/m3 and with cross section in the shape of a…

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Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of:

A: Given,       U=x, y, z: 0≤x2+y2≤1, 0≤z≤5-x-y

Q: Find using spherical coordinates integration zz2 + x2 + y²dzdydx V4-x

A: The conversion formulas for spherical coordinates are…

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A: Formula:

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Q: Calculate the area of the region bounded by: r = 3 cos(0),r = 3 sin(0) and the rays 0 = 0 and 0 =

A: r=3cos(θ)r=3sin(θ)θ=0  and θ=π4Area of the polar…

Q: Sketch the region enclosed by the curves and find its area. 1 Vī 1 – x² y = 2 NOTE: Enter the exact…

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Q: Find the centroid along the y-axis of the plane area bounded by the equation y^2=4x, x=1 and the…

A: Given curve is y2=4x ,x=1

Q: Find the moment of inertia for a quarter of a regular circular plate of radius (b)Find Mom ent of…

A: Given: (a) A quarter of a regular circular plate of radius (b) The parabola Y=x2b and the line y=b

Q: Determine the area of the region of intersection of the curves r= 4 sin 0 and r = 4 cos 0. Sketch…

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Q: Sketch the region bounded by z=0.67 and z=1.56 and find it's area show your solution in your paper

A: Z-score :           Z -score is standard normal variate follows normal distribution with mean 0 and…

Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 2x + 5. (Use…

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Q: 8 Set up surface aenerated by revolving the given. Curve about the indicated axis, an integral for…

A: y=x3, 0≤x≤2, about x-axis

Q: Q/ Find Plane area bounded by y = 2, y= 6-X , and y=8-3X uising double Integration

A: We are given 3 curves namely, 3x+y=8 , x+y=6 and y=2 andwe have to find the area bounded by these…

Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

Q: Sketch the region enclosed by the curves and find its area. 2 x = -, Y х %3D 0, у — 1, у3е y = NOTE:…

A: Area under curves

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by…

A: Given: y=49+x214, x=0, y=0, x=2 To determine: The volume of the tank generated by revolving the area…

Q: A cylindrical water tank 4 meters high with a radius of 2 meters is located on a tower so that the…

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Q: A trough is filled with liquid of weight density  50 N/m3 and with cross section in the shape of a…

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Q: Consider the area bounded by the points P, (6,6), P2(8,4), P,(12,4) and P,(14,8) a. Find the volume…

A: (a) The area curved is, A=∫6122πrdr=πr2612=π(6)(18)=108π The volume is, V=216π

Q: Use spherical coordinates and integrate to find the area of the region 0≤φ≤βon the spherical shell…

A: the spherical shell of radius. to find the area when β= 2π e follow the procedure as

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Q: Use a double integral in polar coordinates to find the volume of the solid bounded by the graphs of…

A: Given that hemisphere z=16−x2−y2 and cylinder x2+y2−4x=0. We have to find the volume of the solid…

Q: Compute the surface area of revolution about the x-axis over the interval [3, 6] for y = 4x + 5.…

A: The equation of the curve is given by y = 4x+5 Formula Used: S = 2π∫36y1+dydx2dx To evaluate: The…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.