1 - x3/2, 0 s xs 3 y = y 1/2 y =

Q: A spherical snowball is melting in such a way that its radius is rate is the volume of the snowball…

A: Given: To explain the given statement as follows, Radius r = 9cm, dr/dt = 0.2 cm/ min. We need to…

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…

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Q: Lee is running around the perimeter of a circular track at a rate of 15 ft/sec. The track has a…

A: Given, Speed=15 feet/sec time=10 seconds Radius of the sector=200 yards

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Q: Find the equation to solve the surface area obtained by revolving the parabola x? = 4y from x = -2…

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Q: The below curve is rotated about the y-axis. Find the area of the resulting surface. x7 y = 1s* 10,…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Prad of Padius s Ciscle to (a) E B-j)2+2)

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Q: A sphere has a surface area of 490 cm2. Find the radius r of the sphere. Round your answer to two…

A: *As per the guidelines, only the first question answered. Please resubmit the remaining question…

Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 2 – x², 0 <…

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Q: Find the area of the surface generated when the given curve is rotated about the x-axis. y = 4 vx on…

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Q: Approximate the change in the volume of a sphere when its radius changes from r = 50 ft to r 50.05…

A: Given,           The radius of the sphere changes from r=50 ft to r=50.05 ft.To find : Approximate…

Q: Find the outside surface area. Note that the cylinder does not have a top. (Assume a - 3 cm and b= 9…

A: Area of the base is:

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

A:

Q: 32. A cylinder (not shown) has radius 2.5 cm and lateral area 20n square centimeters. What is the…

A: Consider the provided question, Given that, radius (r) of the cylinder = 2.5 cm Lateral area(LA) of…

Q: ould the box have? A company plans to package its product I cylinder that is open at one end. The…

A: According to Questions Volume of Cylinder=27π in3

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

A:

Q: Find the area of the surface generated when the indicated arc is revolved about y-axis x^2 = 4ay…

A: Surface area about  y-axis is given below..

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y= 11 x,…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x3/2 3 5 <…

A: Let's find.

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

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Q: A cylindrical water tank 4 meters high with a radius of 2 meters is buried so that the top of the…

A: First of all, consider water thickness as ∆y a distance of y meter from the origin. So, the radius…

Q: ii) Find the area of the surface obtained by rotating the curve y = e-, -1<r<1 about a) the x axis…

A: Curve:                           y=e-x2,-1≤x≤1

Q: A uniform cable is suspended between two poles of equal height. Assume that the equation of the…

A: (a)

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5x + e…

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2…

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Q: A circle with radius 1 centered at (0, ) is tangent to two points of the parabola y = r². What is…

A: The equation of the circle will be given by: x-02+y-542=(1)2  x2+y-542=1y-542=1-x2y=54±1-x2   The…

Q: Question 2: Find the surface area of the object by rotating y = 4 + 3x²,1 s x s 2 about the у-аxis.

A:

Q: Determine the moment of inertia of the area about the y-axis of the curve y2 = 2x, x=2, and the…

A: We can calculate by integrating.

Q: Find the area of the adjacent surface of a triangular prism whose base is a triangle with sides a =…

A: Area is the measure of space occupied by a flat surface. It is measured in terms of the number of…

Q: The ceiling of a building has a height above the floor given by z = 30 + x, and one of the walls…

A: The surface area can be given by SA=∫abf(x)ds =∫040(30+14x)ds Path is given by…

Q: A paper drinking cup filled with water has the shape of a cone with height h and semi-vertical angle…

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Q: 10. A vase is designed by rotating the section of the curve x(x – 1)² + 0.5 between x = 0 and r =…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. X = a2 - y2, 0…

A: As we know that the expression for the area of surface revolution about the y-axis is:…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y 3= 1sxS 5

A:

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: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: Given: y=fx=73x0≤x≤9 Axis of revolution is x axis.

Q: A uniform cable is suspended between two poles of equal height. Assume that the equation of the…

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Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

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Q: Calculate the area enclosed by the ellipse to 3 decimal places. A 2.221 +.002 B 1.437 +.002 © 1.111…

A: The objective is to find the area enclosed by the ellipse x2+2y2=1 The equation of the ellipse can…

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: The temperature at a point (x,y) on a metal plate is T(x, y) = 25x² - 10xy + y². %3D An ant on the…

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Q: Find the area of ​​the adjacent surface of a triangular prism whose base is a triangle with sides a…

A: Consider the given information: The sides of base triangle are given as: a=3dm=, β=5dm,  γ=6dm and…

Q: A light bulb is designed by revolving the graph of y = the surface area of the bulb and use the…

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Q: A cylindrical water tank 6 meters high with a radius of 2 meters is buried so that the top of the…

A: This question is related to integration.

Q: n the mid-20th century, engineers constructed a series of canals to move irrigation water from water…

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