Find the approximate increase by the use of differentials, in the volume of the sphere if the radius increases from 2 to 2.05 in one second. A 2.12 (B) 2.51 2.86 D) 2.25

Q: use differential to approximate 8+ J143.6.

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the approximate…

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Q: Find the area of the surface that is obtained by rotating the curve Y = 0.25X? – 0.5 Log.X, 1<X< 2…

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

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

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Q: express the length of the curve as an integral but do not evaluate it. r = eθ + 1, 0 ≤ θ ≤ π/2.

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

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

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Q: What is the value of the differential if f(x) = x + 2x - ! x = 8.4 and dx = 0.86. Round your answer…

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Q: Use integration by parts to evaluate the definite integral. t° In(t)dt

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

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Q: O Use differentials to approximate the increase in the area of a soap bubble when its volume…

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

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Q: The volume of a sphere is expanding wherer = 2t. What is the rate of change in volume with respect…

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

Q: . f(x, y) = y*e*Y at (0.2, 1.96)

A: Use differential formula to find approximate value.

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: ) Find the area of the surface that is obtained by rotating the curve Y = 0.25X² – 0.5 Log.X, 1<X<2…

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

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Q: Find the indefinite integral. ∫ cost /(1 + sin t) dt

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

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

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Q: Use the differential dz to approximate the change in the function z (shown in the image) as (x, y)…

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Q: Find the derivative of the following integrals: (a) (**at) (b) (LA dt) Vt +1

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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: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

Q: Find the total differential. z = 10x6y7 dz = %3D

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Q: The volume V of a right circular cone of radius r and height h is given by V = ⅓ πr²h. Suppose that…

A: Solution:Given         V=13πr2hFormula:(uv)'=uv'+vu'To compare the change in volume of the cone with…

Q: Find the total differential du. 1. w = y tan a? – 2xy

A: To find the total derivative

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

A: Solution.

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

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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…

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Q: Set up an integral that represents the length of the curve. X = Vу - 9у, 1 s y <4

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Q: Find the differential of each function. (a) y = etan(nt) tan(at) · soc2 (at) - T dy = sec“(at) · T e…

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Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

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

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Q: What is the volume of the solid formed when rotating f (x) = –3 sin (x) +1 about the x- axis on the…

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Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: Given:     P(t) = 53 + 3t   limit 0 to 7

Q: sketch, reverse and evaluate the integral dy dx

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Q: find the integral of t sint cost dt

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

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Q: Use the total differential approximation to calculate sqrt((3.91)(9.11))

A: Use the total differential approximation to calculate sqrt((3.91)(9.11))

Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: Given , pt=68+5twe have to find total trash over next 9 years .

Q: Find the total differential. z = e4x sin(3y) dz =

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Q: Use differentials to approximate the change in z for the given change in the independent variables.…

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Q: Find the total differential of z = In(x + y), x = w, y= w?. By how much will z change if w increases…

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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…

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