The area bounded by the ourves y= *", and y=2x iş revolved about the y-axis, Find the moment of inertia about the axis of reuslation. Use parallel differential strip.

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know that; The expression for the volume of the cube is: V=a3    ....(1) Where a is the edge…

Q: The radius and height of a right circular cone are measured with errors of at most 1% and 4%,…

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Q: Set up the integral for the arc lengthof the function,y=4/3x^3/2for 2≤x≤6if you integrate with…

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: A worker on a roof 30 m above the ground needs to lift a 50 kg bucket of cement from the ground to a…

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Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,3π]. Surface…

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Q: use the elimnaton method zhみみ人みメ differential equeti cns

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Q: (a) Use differentials to approximate the possible propagated error in computing the area of the…

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Q: Find the sdution of the. differential equation that Satisies the qven intal condition

A: We have to find solution of differential equation with given initial condition.Differential equation…

Q: For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included…

A: Concept: Estimating error using differentials: ∂A=∂A∂a∂a+∂A∂b∂b+∂A∂θ∂θ Here A is the area of the…

Q: A manufacturer produces paper cups in the shape of a right circular cone with a radius equal to…

A: Let y=V(R) be a differential function and ∆R denoted change in R.

Q: Recall that the volume of a right circular cylinder of radius r and height h is V = r’h. Suppose…

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Q: Find the approximate surface area of a sphere of radius 3.02 in. (Use differentials)

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Q: A tank that has a shape of an inverted circular cone with height 15 meters and base radius 6 meters…

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Q: Use Composite Simpson's rule with h = 0.25 to approximate the value of the improper integral dx.

A: ∫01exxdx  using composite simpson's rule with h=0.25

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: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: Relative error

Q: Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. a. Use…

A: The measurement of the side length is accurate to within 0.1 cm. Therefore,  -0.1≤dx≤0.1  The volume…

Q: 8. Use differentials to approximate the change in the volume of a cylinder if the height is…

A: Let's find.

Q: Find the area of the surface formed by revolving y = x³ on 0 < x<1 around the x-axis. Show all steps…

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Q: Find the moment of inertia with resped to the y - axis of athin sheet of constant density s=1 gm/cm?…

A: To find the moment of inertia

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: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…

A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .

Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying…

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve…

Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Find the area in the first quadrant bounded by the curve Y = 4–?^2 and the axes using horizontal…

A: Consider the region bounded by the the curve and the axes in the first quadrant

Q: The base radius and height of a right circular cone are measured as 10cm and 25cm, respectively,…

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Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: the outside diameter of a thin spherical shell is 12 ft. If the shell is 0.3 inch thick, use…

A: Volume of a sphere with radius r is V=43πr3

Q: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a)…

A: Solution:

Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

A:

Q: Find the moment of inertia of the area in the first quadrant bounded by the curves y = 9 – x² and y…

A: Moment of inertia bounded by the curves y2 and y1 about y-axis is  Iy=∫abx2(y2-y1)dx Consider the…

Q: Use double integrals to find the area inside the curve  r = 3 + sin(θ).

A: Find the area enclosed by the curve r = 3+sin θ , using double integration method.

Q: Set up an integral to find the arc length of the curve defined by  x = tany  on the intergral 0 ≤ y…

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Q: Find the area of the surface obtained by rotating y = cosh x over [−ln 2, ln 2] around the x-axis.

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Q: An area is bounded by the x^2+10y-1600 curve  and the -xaxis. Find the moment of inertia (in units4)…

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Q: The radius of a circular disk is given as 20 cm with a maximum error in measurement of 0.4 cm. Use…

A: Given: The radius of a circular disk is 20 cm ie., r = 20 cm  error in measurement is 0.4 cm ie., dr…

Q: Find the center of the mass of a thin plate of constant density 6 covering the region bounded by the…

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Q: The radius of a spherical ballon is measured to be 10 inches, with a possible error of 0.04 inch.Use…

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Q: The edge of a cube was found to be 30 cm with a possibleerror in measurement of 0.1 cm. Use…

A: Let the length of the edge of a cube be x. Given data:

Q: The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. Use…

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Q: 3. Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

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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: 2. Determine the approximate volume of a cube whose edge is 19.95 cm, using differential. 3. Use…

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Q: Uje differential to estimate V32.02 correct to 4 decimai places.

A: Given : 5√(32.02)

Q: The definite integral that can be used to find the arc length of the curve y =x-2 on the interval…

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Q: Find the differential equation of the family of spheres of radius r with Centre on the xy-plane

A: General form of the equation of the sphere with radius r and center on the xy plane is given by…

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

A: From the given graph, The function y = k x13  limits from x = a  to  x = b

Q: Find the liner Jeneral integral of differential equations. ) (xy' -1) Int=24

A: Given: