d the volume of losed by y = line

Q: Suppose that the radius of the hut is increased by 2.5%. Calculate the following: (i) Percentage…

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Q: Calculate the volume y=x2   x axis,x=1 x=3 around the x axis

A: This is a simple question based on the topic application of integration which could be solved using…

Q: Calaulate the volume between 2= 12x°+ay2 Vax? 2. and 2 = 6- 2x- 2y?

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Q: What is the volume of a rotational body formed by rotating the area bounded the = 4-x ² function…

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Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 y 0,…

A: We will use disc method to find the volume of the tankLet the region bounded by y=f(x), x=a, x=b and…

Q: Find the volume of a hemispherical shell having outer radius a and inner radius b if the density…

A: Mass density is defined as the mass per unit volume. gm/cm3 is, therefore, a unit of mass density.…

Q: Find the volume of the shaded region about the indicated axis. y =x (1, 1) y = Vr+2 -2

A: Find the volume we use the disc method for first picture and cylindrical shel method for second…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Please refer the attached image for complete solution. THANK YOU.

Q: consider a right circular cylinder open top tin can volume 1000cm^3. suppose R and H are the base…

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Q: The area bounded by the parabola x^2-2x+y=3, in the second quadrant about the line y=4. Find the…

A: Consider the given curve: y=-x2+2x+3 Here, the objective is to find the volume of solid formed by…

Q: Find the volume of the region between the cylinders x² + y² = 36 and x? + z2 = 36.

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Given that: Volume of cylinder = 1000 cm3

Q: Find the volume of the region that is between x = 8 – z2 – y? and x = -V4y² + 4z²

A: b)the region bounded by surface x=8-y2-z2andx=-4y2+4z2inside the disky2+z2=4

Q: @ Eualuate the inteyral taken throughout the volume o f sphere

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Q: calculate the volume of the 1st octant under the plan 2x + y + z = 10

A: answer

Q: Approximate the change in the volume of a right circular cylinder of fixed radius r= 19 cm when its…

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Q: . The area bounded by the parabola y² + x - 2y = 1, the x-axis, and the line x = 2 revolves about…

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Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 30, 0 < 0…

A: According to the given information, it is required to find the area enclosed by the given curve.

Q: Determine the volume of the solid formed by revolving the area bounded by 4y=x³, y=0 and x=2 about…

A: We need to find volume.

Q: (b) Interpret as a volume and calculate the integral without integrating.

A: As we know that Volume of a solid by integrtion is written as ∫∫∫dV=∬zdydx=∬xdydz=∬ydzdx

Q: Consider a right circular cylinder open top tin can with volume 1000 cm. Suppose R and H are the…

A: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and Hare the…

Q: Use the linear approximation to estimate the percentage change in volume of a right circular cone of…

A: Let V,  r  &amp;  h be the volume, radius and height of the right circular cone respectively. Given,…

Q: A mineral deposit along a strip of length 6 cm has density s(x) = 0.01x(6 − x) g/cm for 0 ≤ x ≤ 6.…

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm. Suppose R and H are the…

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Q: Find the volume formed by revolving about the x-axis the area bounded by the curve (x + 1)^2 = 4(x -…

A: Given data:- Equation of curve, x+12=4x-1 Line, y=4

Q: Find the volume of the solid formed by invoving the region by the graphs y=x^3 , y = 0 , x = 1 ,…

A: Answer

Q: What is the volume in the first octant bounded by x2 = 16 – y and z + y = 16.

A: Given curves are

Q: om

A: Computing the volume generated by rotating the area through one revolution about the x-axis.…

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: Find the approximate change in the volume V of a cube of side x meters caused by increasing the side…

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Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 40,0 ≤ 0 ≤…

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Q: 10. Find the center of mass of a thin rectangular plate cut from the first quadrant by the lines x =…

A: Given density δ(x,y)=3x+yWe need to first mass using formula:M=∬RδdAAccording to the problem, we…

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 10, 0 < 0…

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Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

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Q: Compute the volume generated by the curve y = 2 about x-axis between x = : 4 2 and x = 4 Answer:

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Q: 3. The area on the second and third quadrant of the circle x^2+y^2=36 is revolved about the line…

A: Sketch the region and find limit in y variable.

Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

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Q: Find volume y=3x^2, x=1, and y=0 about x axis

A: y=3x^2, x=1, and y=0 about x axis

Q: Find the approximate change in the volume V of a cube of side x meters caused by increasing the side…

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Q: 8. If V represents the volume of an object, what does AP represent? - dt

A: dydx-Represent the Rate of change of 'y' with respect to 'x'. Here, 'y' is dependent variable and…

Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

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Q: Find the volume rotated about the x-axis

A: Formula

Q: 1) z = 2 – x² – 2y², z = 1

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Q: Determine the volume of the solid formed by revolving the area bounded by x2 + y? = 25 and x + y=5…

A:

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: We will use derivative to minimize the area.

Q: The area bounded by the curve y 2 - 4x and the line 2x -y 12 is revolved about the y-axis. Find the…

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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: Determine what happens to the volume V

A: Given, Radius of right circular cylinder = r Height =2-r

Q: Find the mass of a straight circular rod of length a and radius b whose density varies as the square…

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Q: The area on the first quadrant of the circle x^2 + y^2 = 36 is revolved about the line y + 10 =0.…

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