Find the lateral surface area of the cone generated by revolving the line segment y = x/6, 0 sx s2 about the y -axis.

Q: Find the change in the lateral surface area of a right circular cone, with radius of base fixed as…

A: There is a right circular cone with base radius r and altitude height h.

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: Determine the surface area of the solid obtained by rotating y=v9-x from -2sxs2 about the x -axis.

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Q: Solve for the moment of inertia with respect to the y-axis for the area bounded by the curves, y? =…

A: follow next step

Q: Find the center of mass of a thin plate of density δ = 3 bounded by the lines x = 0, y = x, and the…

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Q: Find the volume of the solid generated byrevolving the region in the first quadrant bounded by the…

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Q: Find the surface area of volume generated when the curve y=.5(x^2+1) from x=0 to x=1 revolves around…

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Q: Find the moment of inertia of the region between the parabola y=4-x^2 and the line y=1-2x from x=0…

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Q: Approximate the change in the lateral surface area (excluding the area of the base) of a right…

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Q: The surface area of the surface generated by revolving y =x³ , 0 Sx<1 about the x- axis is

A: Given : y= x3    ,  limit  0 to 1

Q: Find the change in the lateral surface area of a right circular cone, with radius of base fixed as…

A: The lateral Surface area of a right circular cone is given as A =πrh2+r2        A2 =π2r2(h2+r2)…

Q: Find the area of the surface generated by revolving the curve x = Vy, 0<y <4, about the y-axis.

A: We will use standard method.

Q: Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis.…

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Q: ASAP PLZ Find the moment of inertia with respect to x-axis of the region in the first quadrant,…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: • This is a problem based on the applications of definite integral.  First we have to identify the…

Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

A: We want to find the area bounded by the parabola y2 = 9x and the line y = 3x about the y-axis.

Q: Find the center of mass of a thin plate covering the region between the x-axis and the curve y =…

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Q: Find the moment of inertia of the region between the parabola y = 6 − x2 and the line y = 1 – 2x…

A: Given, y=6-x2 and y=1-2x from x=0 to x=2

Q: Find the moment inertia of the solid formed by revolving about ox the area bounded by a2y=x3, the…

A: Solve the problem

Q: Find the moment of inertia of the area bounded by the curve x2=4y, the line y=1 and the y-axis on…

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Q: y = } + sxs1 <x<1 2

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Q: A right circular cone is generated by revolving the region bounded by y = hx/r, y = h, and x = 0…

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. 36) y=V4x -…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. SET UP ONLY…

A: The area of the surface generated by revolving the curve around the y axis can be given as:…

Q: Find the moment of inertia of the area bounded by the curve x^2=8y, the line x=4 and the x-axis on…

A: Use moment of inertia concept

Q: Q3: Develop the lateral surface of a hexagonal prism of base edge 20mm a on its base on HP such that…

A: Given: To explain the given statement as follows, To develop the lateral surface of a hexagonal…

Q: Find the volume of the solid formed by revolving the curve defined by 9x²+4y²=36 about the line…

A: Given, The volume for solid revolution between the curves and around the on interval [0,1] The…

Q: Find the surface area obtained by rotating x = 3t2, y = 2t3, 0sts 3 about the y-axis.

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Q: Find the volume of the solid generated byrevolving the region in the first quadrant bounded by the…

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Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

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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: 4. Determine the surface area of the solid obtained by rotating y = v9 – x2, -2 < x<2 about the x -…

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Q: Approximate the change in the lateral surface area (excluding the area of the base) of a right…

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Q: Find the area of the surface generated by revolving the given curve about the yy-axis.…

A: Given curve is, x=25-y, -1≤y≤0 Now, differentiating with respect to y we get,…

Q: Find a center of mass of a thin plate of density 8 = 5 bounded by the lines y = x and x=0 and the…

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Q: Find the surface area of the surface of revolution formed by revolving the curve y= 3cosX from X=0…

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Q: Find the area of the surface obtained by rotating the curve about the y-axis. y= x², 0sxs1 Set up…

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Q: The volume of the solid generated by revolving the curve y = 2 x, between x =0 and x=3 about the x-…

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Q: Find the area of the surface obtained by rotating the curve. y=x+, 1<x< 2 rotated about the x-axis…

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Q: Find the volume of the solid generated by revolving about the y axis the region under the curve…

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Q: The volume of the solid generated by revolving the curve x = 4, about the y-axis between y= 0 and y…

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Q: Find the moment of inertia with respect to the y-axis of the area bounded by the curve y=1-x3 and…

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Q: Determine the radius of gyration of the area into the first quadrant bounded by the line y=0, x=3…

A: Solution:-

Q: Approximate the change in the lateral surface area (excluding the area of the base) of a right…

A: To approximate the change in the lateral surface area: We  can approximate the change from  a  to…

Q: Find the moment of inertia of the area bounded by the curve x^2=4y, the line y=1 and the y-axis on…

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Q: Find the moment of inertia with respect to y-axis the area bounded by a2y=x3, the y-axis, and the…

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Q: Find the volume, V, of the solid formed, when the part of the curve y = 2x, is rotated about the…

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Q: Find the surface area generated by revolving the parabolic arc y=x² , Osxs6 around y-axis

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.