Suppose the measurement of the side of a square is to be 30 cm with an error of 0.03 cm. Use differentials to estimate the propagated error in computing the area of the square

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A: One side of the right triangle is measured as 9.5 inches and opposite angle is equal to 26.75° with…

Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the…

A: The circumference of a sphere with radius r is  given as C = 2 π r  and the surface area is given by…

Q: Use a linear approximation (or differentials) to estimate the given number. V 99.4

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Q: .A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

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Q: 2. One side of a right triangle is known to be 22 cm long and the opposite angle is measured as 60°,…

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Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

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Q: The side of a square floor tile is measured to be 20 inches, with a possible error of 1/32 inch. Use…

A: The given question is of the application of derivative where x=20 inches, and dx= 1/32 inches given.…

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 60-kg skydiver jumps out of an airplane. What is her terminal velocity, in meters per second,…

A: Given, Mass (m) of the skydiver = 60-kg, and k = 10-kg/s

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

A: Given that the side length of a cube is 5 cm with an accuracy of 0.1 cm Volume of a cube=side…

Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

A: Let y=f(x) be a differential function.  differential dx  is an independent variable.  the…

Q: Use a linear approximation (or differentials) to estimate the given number. 99.8 9.9

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Q: The base radius r and height h of a right circular cone is measured as 5 inches and 10 inches,…

A: The volume of a right circular cone is given as, V=13πr2h The volume of the cone is a function of…

Q: An open cylindrical tank is to have an outside coating of thickness 2cm. If the inner radius is 6cm…

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Q: The best predicted value of y for an adult male who is 171 cm tall is Round to two decimal places as…

A: Given value of P = 0.000 Here, P value is less than the given significance level (0.05), so we can…

Q: The radius of a circular disk is given as 24 cm with a maxi -mum error in measurement of 0.2 cm.(a)…

A: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. Let…

Q: Use a linear approximation (or differentials) to estimate the given number. (8.09)2/3

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Q: The altitude of a certain circular cone is the same as the radius of the base, and is measured as 5…

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Q: If the radius of a circle increases by 3%, use differentials to approximate the increase in the area…

A: radius of a circle increases by 3%,

Q: Use differentials to approximate the value of: 26

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

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Q: The measurement of the side of a square floor tile is 16 inches, with a possible error of 86 nch Use…

A: we know the area of square is x^2.

Q: The radius of a sphere is given as 27 cm with a maximum error in measurement of .05 cm. Use…

A: From the given data:Radius of the sphere r=25cmMaximum error in radius of the sphere Δrr=0.05…

Q: A square is measured and each side is found to be 8 inches with a possible error of at most 0.01…

A: We are given that each side of a square is 8±0.1. Let x be the side of square and then the side of…

Q: 2. Assume Barry Bonds's head is a perfect sphere. If Dr. Beeresgood measures Barry's head's radius…

A: Given: r=5.8 in∆r=±0.021 in

Q: A certain cube with side equal to 5 inches is said to have an incremental error of 0.1 inch in its…

A: Topic :- Application of Derivative  Volume of cube = (side)3

Q: V9.22

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

A:

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

A: To find √99.8

Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…

A: Given: The radius of the circle is 4m and with an error ±0.5m To find the relative error ∆AA≈dAA "As…

Q: The measurment of the radius of the end of a log is found to be 28 inches, with a possible error of…

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Q: 30. Based on the R output, the most appropriate coefficient to describe the relationship between…

A: The R-output of Pearson's correlation and Spearman's correlation is given.

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: a. let the hypotenuse of the triangle is h. so using the trigonometric ratio formula,…

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: Find the total differential.

A: w=3x+y4z-9y

Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: Given

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: The two legs of a right triangle are measured as 5 m and 12 m with a possible error in measurement…

A:

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A:

Q: The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32 inch.…

A:

Q: A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a…

A: Find the sum of volume of the wine and ice cube and compare with the total volume of the conical…

Q: If a current I passes through a resistor with resistance R ,Ohm’s Law states that the voltage drop…

A: Given the ohm's law relationship that is V=IR , where V is the voltage , R is the resistance and  I…

Q: Use linear approximation or differentials (but not both) to estimate: V7.98

A: We will use linear approximation to estimate the given term   the given expression is   7.983

Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

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Q: a machinist is required to manufacture a square metal plate with the side length of 5cm.  if the…

A: The length of the metal plate is x=5cm. The machinist is allowed an error of 0.3 cm. The area of the…