The length and width of a rectangle are measured as 35 cm and 28 cm, respectively, with an error in measurement of at most 0.1 cm in each. Use differentials to estimate the maximum error in the calculated area of the rectangle. cm2

Q: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters, and 60…

A: Given: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters and…

Q: The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch.…

A: Let ‘x’ be the edge of cube. Then

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: Use linear approximation or differentials to estimate the following

A: Solution: Consider the given number: 1000.033 Let y = x3 = x13 Differentiating with respect to x:…

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

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Q: Suppose at the end of the d perature stays constant at M furnace/air conditioner rate A

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Q: The width and length of a rectangle are measured to be 3 m and 5 m, respectively. These come with an…

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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°…

A: Given : θ = 26.75°

Q: 3. The edge of a cube is measured to be 6 inches with a possible error of ±0.1 inch. Estimate the…

A: The error in measuring the edge of the cube is 0.1 inches. to find the error in the surface area and…

Q: The radius of a circular disk is measured and found to be 20cm, with a max error in measurement of…

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Q: 5. Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick.…

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

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

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

A: The solution are next step

Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

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: Use differentials to approximate V36.1. 3.

A: Consider y = root x.Let take x = 36 and delta x = 0.1.Find delta y as follows.

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: 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 dimensions of a closed rectangular box are measured as 80 centimeters, 60 centimeters, and 100…

A: Let the dimensions of a closed rectangular box are: Length=L=80 cmWidth=W=60 cmHeight=H=100 cm And…

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

A: Given  Find the value of 52.1

Q: A circle has a radius of 5 cm, if the radius is increased by 0.1 mm., what is the estimated increase…

A: Let's find.

Q: complete solution

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

A: To find √99.8

Q: the length and with of the rectangets are measured at 29 am and 12 cm respectively, with a maximum…

A: It is provided that the length and width of a rectangle are l=29 cm, w=17 cm, respectively. The…

Q: An astronaut using a camera measures the radius of Earth as 4000 mi with an error of ±80 mi. Use…

A: Please see the explanation below

Q: 4. The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32…

A: topic - differentials

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: A painting contractor charges Php 120 per sq.m. for painting the four walls and ceiling of a room.…

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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: 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…

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Q: Use a linear approximation (or differentials) to estimate the given number. e0.01

A: We use linear approximation to find e0.01 By linear approximation f(x)=f(a)+f'(a)(x-a) we take a=0…

Q: A total cost function (in dollars) is given by C(x) = 116 + 3x + 0.37x. Use differentials to…

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Q: Use a linear approximation (or differentials) to  estimate the given number.    cube root of 1001

A: Given: 10013 or 100113

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: Match the graph with the first order differential

A: In this question we will use basic concepts of calculus i.e graphing of differential equation.…

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: 13. The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03…

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

A: We need to choose correct option.

Q: A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32…

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