Write the differential formula that estimates the change in the volume look at the picture. Of a sphere when the radius changers from second picture

Q: A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder…

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Q: Use differentials to estimate the value of V1.5. Compare the answer to the exact value of V1.5.…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: The given expression,    35.4

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Ques                   24.5 Let           y = f(x) = x                   where x = 25…

Q: The radius of a circular cone is increasing at the rate of 6 cm/sec while its altitude is decreasing…

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Q: Use differentials or linearization to approximate the value shown (note each method will give the…

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Q: Sand is falling off a conveyor onto a conical pile at the rate of 15 cm/min. The base of the cone is…

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Q: Newton's law of cooling the rate of temperature of body is proportional to difference between the…

A: Newton's law of cooling

Q: Suppose you're taking a pottery class. You're making a vase and start by rolling a piece of clay…

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Q: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.) 101

A: Given,           The quantity is 101 .

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: Given- drdt=4feet/min.  To find- the rate of which area is changing, when r=11 feet. Concept Used-…

Q: Use differentials to estimate the value of V16.3. Compare the answer to the exact value of V16.3.…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Given expression is √24.4

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

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Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.…

A: We have given; The formula to approximate by differential is;

Q: Ripples in the form of coincentric circles are formed when a pebble is dropped in a pond. the radius…

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Q: A Model for Bacterial Growth Bacteria, must create new cell walls as they grow. Consider a rod-like…

A: Derivative of the function f(x) at a particular point is defined as f'(x)=limh→0f(x+h)-f(x)h, It is…

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

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Q: A 5-meter-long ladder is leaning against the side of a house. The foot of the ladder is pulled away…

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Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

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Q: differentials to estimate the amount of metal in a closed cylindrical can that is 18 cm high and 6…

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Q: Use differentials to estimate the value of V16.5. Compare the answer to the exact value of V16.5.…

A: Use differentials to estimate the value of  (16.5))1/4

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: We will use 27, which is close to 28

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of 1.3. Round…

A: To find the value 1-34 using exactmethod and differential method.Exact method                ⇒1-34 =…

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

A: Solution: Differentiate the function  y=lnxdydx=1x The value of f(x+∆x) is given by…

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Given expression : take :

Q: Write a differential equation that fits the physical description: the rate of change in the…

A: Let, The temperature of coffee at time t is T(t). And The temperature of the air at time t is M(t).…

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: Given, Radius r=13 feet. The radius of the circle formed by a ripple increases at the rate of 4 feet…

Q: 5. An Amazon cardboard shipping box is shaped like a cube. The edge of this cube was found to be…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

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Q: 7. Mrs. Santa has a ball of cheese wrapped in red wax and decided to cut in half, to share with her…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: To Determine: use differentials to approximate the value of the expression.compare your answer with…

Q: The pressure difference of the two ends of a small pipe of cross-sectional radius x is given by P =…

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min.…

A: Rate of change of radius; drdt=0.04 cm/minArea of circular plate, A=πr2 cm2

Q: Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high…

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Q: Use differentials to estimate the value of V16.5. Compare the answer to the exact value of 16.5.…

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Q: Alight is placed on the ground 12 meters from a building. A man 2 meters tall walks from the light…

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Q: Approximate √100.3. using a linear approximation OR differentials. Round the answer to the nearest…

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Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the…

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Q: A bacterial cell is spherical in shape. Find the rate of change of the volume of the cell with…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: The given expression,        3.993

Q: The horizontal distance or range (R) of an object thrown at an angle 8 from the horizontal is…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: Consider the function  y=x Let x=49, △x=-0.6 Then, y=49=7

Q: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.)…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

A: We know that                           lim∆x→0fx+∆x-fx∆x=f'x          Hence for small…

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.…

A: We will find out the required value.

Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

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

A: Solution:

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of…

A: The circle formed has the area  A=πr2...(1) Differentiating it with respect to t: dAdt=π2rdrdt...(2)