The side of an equilateral triangle was measured to be 233 cm with at most possible error of 0.5 cm. Use differentials to estimate the percentage error in the calculated area. Percentage Error = _%

Q: An engineering instrument is able to measure the side of a square to within ±0.05 mm (dr). First,…

A: Assume the area to be A and the side length be a. Use the derivative to determine the error dA for a…

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

A:

Q: What is the difference between the average rate of change and instantaneous rate of change?

A: The difference between the average rate of change and instantaneous rate of change

Q: Use linear approximation to estimate the amount of

A: Given, a coat of paint 0.03 cm thick to a hemispherical dome with a diameter of 55 meters.

Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…

A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: A tin can has a circular base of radius 2 inches and height of 6 inches. If the thickness of its…

A: We have to find the volume of tin can using 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: One side of the right triangle is measured as 9.5 inches and opposite angle is equal to 26.75° with…

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

A: To find the amount of paint using linear approximation.

Q: A cylindrical pipe has inner diameter of 7 cm and water flows through It at 192.5 liters per minute.…

A: Topic - mensuration

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

A: This question is taken from the differentiation in which we have to find the relative error in the…

Q: Find the average rate of increase in population which in the first decade has" increased by 20%, in…

A:

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

A: Given dr=0.08 cm, d=65 metres r=d/2=65/2=32.5 metres Now convert r into centimeters r=32.5*100=3250

Q: A vehicle purchased for $32,500 depreciates at a constant rate of 5% per year. Determine the…

A: purchased cost of vehicle=$32,500Rate of depreciation=55 per yearNumber of years after purchased =10…

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: Show that at some instant during a 2-hour automobile trip the car’s speedometer reading will equal…

A: Consider the formula for the average speed.Average speed is overall distance covered over the period…

Q: What is a related-rate equation?

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 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: Compute the proportion of cookies produced each day that contain the optimal number of chocolate…

A: Machine runs continuously from 5:00 AM until 1:00 PM Here a = 5:00 AM   and b = 1:00 PM The height…

Q: . Estimate dx with an error less than 10-3.

A: Series sum estimation:

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: stone dropped into a still pond ta constant rate of 2 meters per

A: Given that a stone dropped into a still pond sends out a circular ripple whose radius increases at a…

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

A: Solution...

Q: Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period

A: In this question, we use the Simpson rule to approximate the average value of temperature for 3…

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

A:

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: Find the average rate of increase in population which in the first decade has increased by 20%, in…

A:

Q: Explain why you can omit the constant of integration when finding an integrating factor.

A: Constant of integration is omitted while finding the integrating factor because when the integrating…

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: What is the average MPG of cars that weigh greater than 2500 lb ? What is the estimated marginal…

A: The average MPG of cars that weigh greater than 2,500 lb. is, Thus, the average MPG of cars that…

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

A:

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: What is the average rate of change of the height of the plant between Week 4 and Week 12, in inches…

A: Given:  Week Height (in inches) 4 24 6 27 8 30 12 48

Q: Solve for average value of the function within interval [0,20]

A:

Q: During the construction of a high-rise building, a worker accidentally dropped his portable electric…

A: After t seconds, the screwdriver falls a distance s=16t^2.

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

A:

Q: Use linear approximation to approximate the value of 65 without the need for a calculator.

A: This question can be solved using the concept of linear approximation.

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: ev* dx

A:

Q: What is the procedure of determining the constants of integration?

A:

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

A:

Q: .Find an equation for the curve that passes through the labeled int.

A: We are aske dto find the equation of the curve.

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

A:

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

A:

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

A:

Q: how to use the apr approximation formula

A: For finding approximatel formula

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

A: topic:- calculus