A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the cylindrical shell, in cm3, if it has a height of 40 cm and radius of 5 cm. 1227 80n 1127 3 О 60д

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The volume of the cylindrical shell is given by V=2πrh∆r, where ∆r is the thickness of the shell.…

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

A: Given formula for the volume of the cone is V=πr2h3 Now, the total differential of V can be…

Q: Use the differential dV to estimate the change in volume of a sphere when the radius changes from 9…

A: ddxxn=n xn-1

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A:

Q: The edge of a cube was found to be 107 cm with a possible error in measurement of 0.03 cm. Use…

A:

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…

A:

Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 14 cm high and…

A: *given:- radius of the cylindrical can, R = 6/2 = 3 cm height of the cylindrical can, h = 14 cm

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The solution are next step

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.l cm. Use…

A: Let the edge of the cube be x= 30cm And given error in measurement of edge dx= 0.1cm a) Volume of…

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: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A:

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

A:

Q: Use differentials to determine the approximate area, dA, of a circular ring which has an inside…

A:

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

A: Relative error

Q: A spherical ball is measured to have a radius of 6 cm with a possible measurement error of ±0.1rmcm.…

A:

Q: Use linear approximation or differentials to estimate the following. (Express answers in 4 decimal…

A: We have used differentials to solve the cube root

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: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A:

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

A: Let's find.

Q: The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of 0.2 cm.…

A: Given that :- Diameter = 30 cm , error = 0.2cm Area of circular disk = πr2 . Where ( r = d/2) So ,…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20…

A: Solution: The volume of the can is V=πr2h where r is the radius of can and h is the height of can.…

Q: The dimensions of a closed rectangular box are measured as 97 cm, 60 cm, and 30 cm, respectively,…

A: Let the dimensions of the box be l, w and h (for length, width and height).Surface area of the box…

Q: Use a linear approximation (or differentials) to estimate the given number. (8.06)2/3

A:

Q: в) (2.001)5 (b) у9999

A:

Q: Use a linear approximation (or differentials) to estimate the given number. Consider the linear…

A:

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: Solution.

Q: V9.22

A:

Q: Use a linear approximation (or differentials) to estimate the given number. 99.8

A: To find √99.8

Q: The inside radius of a pipe is 4.50 cm. By using differentials, find the approximate volume of metal…

A: According the problem, we have

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

A: To find out the relative error in the lateral surface area of the cylinder.

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of.1 cm. Use…

A: Consider the edge length of the cube is a , so the volume of the cube is: V=a3 The surface area of…

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

A:

Q: write a differential formula that estimates the given change in volume or surface area. The change…

A: To write the differential formula that estimates the given change in volume or surface area.

Q: The dimensions of a closed rectangular box are measured as 88 cm, 53 cm, and 32 cm, respectively,…

A: Given: The dimensions of closed rectangular box is : =88cm×53cm×32cm

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 11…

A: Let r and h be radius and height of tin can Then r varies from 4 cm to 4.04 cm and height changes…

Q: Use a linear approximation (or differentials) to estimate the given number. (Do not round your…

A: Given,

Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…

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 dimensions of a closed rectangular box are measured as 74 cm, 51 cm, and 50 cm, respectively,…

A: For a function y=fx, ∂y,∂x,dy and dx represents partial derivative of y and x and then differential…

Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…

A: Given: length,h=20 cmd=6 cmdr=0.001dV=?

Q: √101

A:

Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

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

A:

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use…

A: Topic = Derivative

Q: The thickness of the shell is a = 0.5 centimeter. Use differentials to approximate the volume of the…

A: Given:        a=0.5 cm       r=100cm     Volume of shell V=43πr3     differentiating on both sides…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height…

A: The volume of a cylinder is given by the expression . Thus the volume of a thin cylinder is obtained…

Q: Use a linear approximation (or differentials) to estimate the given number. (use the linearization…

A: Given function is: To find the linear approximation of f(999) we have to use the formula: With…

Q: 7. Using differential, approximate (8.01 ) correct to 4 decimal places. 8. Use differential to…

A: