The side if a square floor tile is measured to be 4 inches, with a possible error if 1/32 inch. use differentials to approximate the possible propagated error in computing the area of the square. ±____ in²

Q: The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters,…

A: Let base= B  Altitude= H Given that B= 36 , H=50 , dB=0.25 , dH=0.25

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: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

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

A: Given: 32.0445 To find: Approximate value of given expression using linear approximation.

Q: he measurements of the base and altitude of a triangle are found to be 38 and 42 centimeters,…

A: The solution is :

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: ∫3t2+t2dt⇒∫3t2+t2dt=∫3t2+dt+∫t2dt                       =3∫t2dt+12∫t dt…

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

Q: A right triangle's one side is identified to be 150 centimeters long, while the adjacent angle…

A: Given:  θ = π3±π60  radians ---------------------------------------------------------------- To…

Q: The radius of a spherical balloon is measured as 8 inches, with a possible error of 0.02 inch. (a)…

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

A:

Q: A topographer wants to determine the area of ​​a certain field. She measures two adjacent sides of…

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Q: The measurements of the base and altitude of a triangle are found to be 24 and 42 centimeters,…

A:

Q: Use the differential to approximate the radical expression. Then use a calculator to approximate the…

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Q: Use differentials to approximate VI2.3 . b Express your answer as a ±- where a is the nearest…

A: Given 12.33 Using differential to approximate 12.33  Let y=x3=x13dydx=13x-23dy=13x-23dxdy=dx3x23

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

A:

Q: The possible error involved in measuring each dimension of a right circular cone is + inch. The…

A: The propagated error dV = V'(r)dr, here dr = +0.1 or -0.1 inch and r = 4 inches.

Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. (a) Use…

A:

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: The measurement of the radius of the end of a log is found to be 16 inches, with a possible error of…

A: Suppose r is the radius of the log with the area of the log is given by: A=πr2 So, we have:…

Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. a) Use differentials…

A: GIVEN The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm we need to find…

Q: A hollow cylinder has a radius R of the outer surface, radius r of the inner surface and height h.…

A: Given, a hollow cylinder has a radius (R) of the outer surface, radius(r) of the inner surface and…

Q: The measurements of the base and altitude of a triangle are found to be 20 and 60 centimeters,…

A:

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

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

A:

Q: Use differentials to approximate v410, and then compare your approximation with the actual answer…

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Q: Use differentials to approximate the value of <2.1.

A: Given  Find the value of 52.1

Q: complete solution

A:

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

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Q: в) (2.001)5 (b) у9999

A:

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

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Q: Estimate V65 using Newton's method with an accuracy of ɛ < 0.001

A: Newton's method uses the formula, xn+1=xn-f(xn)f'(xn) to perform the iteration.

Q: The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter. (a)…

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Q: The measurements of the base and altitude of a triangle are found to be 26 and 44 centimeters,…

A:

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

A: Given,

Q: The radius of a circle is increased from 2.00 to 2.02 m. a) Use differentials to estimate the…

A:

Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

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

A:

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: The measurements of the base and altitude of a triangle are found to be 38 and 56 centimeters,…

A:

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

A:

Q: The radius of the base of a cylinder (with its base diameter equals to its height) is to be…

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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: A sphere is measured and the radius is 5 inches with a possible error of at most 0.02 inches.…

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

Q: Approximately, using differentials, find the area of a circular ring with an inner radius of 30cm…

A: Solution: