The circumference of a sphere was measured to be 8282 cm with a possible error of 0.50.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area.

Q: Suppose a gas station has an underground tank in the shape of a rectangular parallelepiped that…

A: The volume of rectangular Parallelepiped v=abc

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: A length of blood vessel is measured as 2.7 cm, with the radius measured as 0.7 cm. If each of these…

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Q: . The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

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Q: The radius of a sphere was measured and found to be 3 ft with a maximum error of 0.1 inches. Find…

A: Given r=3ft=36inches  dr=0.1

Q: You are designing a rectangular poster to contain 75 in of printing with a 3-in margin at the top…

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Q: The circumference of a sphere was determined as 84 cm with a possible error of 0.5 cm. Estimate the…

A: A circle's or sphere's circumference is equal to 6.2832 times its radius. The circumference of the…

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Q: The radius r of a circle is measured with an error of at most 2%.What is the maximum corresponding…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Given: Diameter =80 meters Radius r = diameter/2 = 80/2 =40 meters Radius r = 4000 cm dr = 0.05 cm…

Q: a penny of 0.75 inches in diameter is randomly dropped 100 times on a board with gridlines. The…

A: Given The diameter of a penny d=0.75 inchesThe total number of drops on a board with grid lines…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Here, the diameter of the hemisphere is 30 m. So, the radius of the hemisphere is: r=302=15m=1500 cm…

Q: Find the quantity (in thousands) that minimizes Shaki's average cost for making danglies.

A: The minimum or maximum of a quantity is obtained by taking the first derivative of the equation and…

Q: The measurement of the circumference of a circle is found to be 68 centimeters, with a possible…

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Q: The radius of a sphere was measured and found to be 21 cm with a possible error in measurement of at…

A: Let the radius of a sphere be r unit . Then, the volume, V of the sphere is calculated using the…

Q: The volume of a water tower that has the shape of a right circular cylinder can be expressed V =…

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Q: Estimate 291/5 using a linear approximation.

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: The radius of a cell is measured to be 6 microns with an error of plus or minus 0.4 microns. What is…

A: Given that: Radius of cell=6 microns.Error in radius=±0.4 microns

Q: The dimensions of a rectangular block of wood are found to be 100,120 and 200mm, with a possible…

A: Let's find greatest error in the surface area of the rectangular block.

Q: The vertical distance between the actual value of Y and the estimated value of Y is known as _____.

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: To use linear approximation to estimate the amount of paint in cubic centimeter needed to apply a…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Approximate graphically the radius and height of a cylindrical container with volume 80cubic inches…

A: Given, Volume, V=80 cubic inchesLateral surface area, A=55 square inches The formula for the volume…

Q: A portion of a blood vessel is measuredas having length 7.9 cm and radius 0.8 cm. If each…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: We know that volume of the sphare is  V = (4/3)πr3. Here r is redius of the sphare . And volume of…

Q: How accurately should you measure the edge of a cube to be reasonably sure of calculating the cube’s…

A: The error should not be more than 2%.

Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

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Q: The diameter of a cylindrical pipe is found to be 4.8 cm with an error of ± 0.5 mm. What is the…

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Q: A Normal window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the…

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Q: What is the relative error in the total surface area of a cube of edge 3 feet if an error of 1/2…

A: Relative error

Q: The radius of a sphere was measured and found to be 21 cm with apos sible error in measurement of at…

A: Given: Radius of the sphere is 21 cm with a possible error in measurement of at most 0.05 cm. The…

Q: The radius of a ball bearing is measured by a micrometer to be 1.2 mm with a margin of error of 0.05…

A: Radius of ball bearing  r = 1.2 mm Error in measurement dr = 0.05 mm It is asked to find the maximum…

Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5…

A: Given :             Cube side a = 6 feet Error in side :                       ∆a = 1.5 inches∆a =…

Q: The edge x of a cube is measured with an error of at most 0.5%.What is the maximum corresponding…

A: Given: Let x be the edge of the cube with an error of 0.5%.

Q: How can you calculate the preimeter of a rectangle

A: The perimeter means the length of the outline of a shape.In order to find the perimeter of a square…

Q: should the box have in order to minimize the surface area?

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: the perimator of a square patio is 48 feet. What are the dimensions of the patio?

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Q: A patient is drinking  0.6 pint of orange juice every two hours. At this rate, how many quarts of…

A: Dimensional analysis: A method of analysis in which physical quantities are expressed in terms of…

Q: The measurement of the circumference of a circle is found to be 70 centimeters, with a possible…

A: Given the data:

Q: The radius of a circular disk is given as 20 cm, with a maximum error measurement of 0.15 cm.…

A: Use the derivative to calculate the maximum error .

Q: The radius r of a circle is measured with an error of at most 2%.What is the maximum corresponding…

A: To determine:                             The maximum corresponding percentage error in computing…

Q: The circumference of a sphere was measured to be 70 cm with approximation to estimate the maximum…

A: topic:- calculus