adve- One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25° possible error. Using differentials, approximate the percent error in computing the length of the hypotenuse answer in percent

adve- One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25° possible error. Using differentials, approximate the percent error in computing the length of the hypotenuse answer in percent

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 44A

See similar textbooks

Related questions

Q: Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air…

A: y=12at2+v0t+s0 here we have a=-32 v0=48 s0=6 y=12-32t2+48t+6 y=-16t2+48t+6

Q: A cup of hot coffee initially at 100°C cools to 40°C in half an hour while sitting in a room of…

Q: Use differentials to approximate the desired numbers below: a. The square root of 627 b. The cube…

A: Differentiation formulae: ddxx=12xddxxn=nxn-1 Radical to exponent property: xn=x1n Formulae of…

Q: A stone of is dropped from a height of 95 meters with zero velocity. Assuming no air resistance,…

A: The displacement time equation for the constant acceleration is: yf-yi=v0t-12gt2

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

Q: 1. Rogers is 5 feet tall and casts a shadow 3.5 feet long. At the same time, the flagpole outside…

A: According to the bartleby guidelines, for more than 1 question asked, only the first question should…

Q: Use differentials to calculate the given number. square root 81.25 Give your answer as a decimal.…

A: Assume the function be: Now, Use

Q: 5) Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If…

A: Note: Rate of change of volume of conical pile is equal to rate of change of sand pouring from the…

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

A: Given, The quantity is 101 .

Q: oil

A: We will find how much oil is left in the rank after 3 hours.

Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air…

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: We need to find rate of change of the base.

Q: A car traveling at a speed of 38.5 ft per second when the brakes are applied. The car decelerates at…

A: Given: u=38.5feet per second, v=0, a=-22feetsecond2 we know that relation between distances, initial…

Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates…

Q: A balloon, leaving the ground 60 feet from an observer, rises vertically at the rate of 10 feet per…

Q: ] A batter hits a ball toward second base at 80 ft/sec and runs toward first base at a rate of 30…

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

Q: A pan of warm water (46°C) was put in a refrigerator. Ten minutes later, the water’s temperature was…

A: Consider the equation

Q: 19. The tires on your car are 20 inches in diameter. The tires are turning at the rate of 8…

A: Let the given diameter of the tires be d=20 inches.Then the circumference of a tire= π×d=20π…

Q: A car moves at a speed of 30m/s. It decreases its speed to 10m/s. The change in speed takes 5…

A: We find acceleration when a car moves at a speed of 30m/s. It decreases its speed to 10m/s. The…

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight…

A: Given problem:- A lighthouse is located on a small island 4 km away from the nearest point P on a…

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

A: The nearest number to 35.4 whose square root can be taken is 36, so let us consider that x=36 And…

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

A: Let x=27, dx=2 y=x3=x13dydx=13x13-1 =13x-23=13x23 At x=27 dy=dx3x23=2327×273=227dy=0.0740

Q: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the…

Q: Sand falls from a conveyor belt at the rate of 10 m3/min onto the top of a conical pile. The height…

A: Let h be the height of the cone, r be the radius of the base of the cone. The relation between them…

Q: 4/81.6

A: Given: 81.64 The formula for approximation using differential is L(x)≅ f(a)+f'(a)(x-a)

Q: A stone of is dropped from a height of 67 meters with zero velocity. Assuming no air resistance,…

Q: A student drops a pen from a classroom window on the second floor of the mathematics building. If…

A: We will find the velocity of pen as following.

Q: Water is flowing into a vertical cylindrical tank at the rate of 26 cubic feet per minute. If the…

A: Given that: Rate of flow, Q=26 ft3/minRadius of the tank, r=6 ft

Q: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the…

A: Given that at 5:36 pm driver started pumping gas in to the tank at exactly 5:42 pm the tank was…

Q: A balloon, leaving the ground 60 feet from an observer, rises vertically at the rate of 10 feet per…

Q: A bullet with an initial muzzle velocity of 342 m/s is fired upward from the ground. How long will…

A: We will solve the following.

Q: Use differentials to estimate (or approximate) the amount of tin in a closed tin box with height…

A: To use differentials to estimate (or approximate) the amount of tin in a closed tin box with height…

Q: An airplane is heading north at an airspeed of 650 km/hr, but there is a wind blowing from the…

Q: Use differentials to approximate the quantity. (Give your answer correct to 4 decimal places.) 99.7…

Q: A 10-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A: Let be the distance from the foot of the ladder to the wall and let y be the distance from the top…

Q: A stone of is dropped from a height of 55 meters with zero velocity. Assuming no air resistance,…

Q: Use differentials to approximate the change in the area of a circle when the radius changes from 5…

Q: A typical glass of wine contains about 22 grams of alcohol. Consider a 109-pound woman, with…

A: one glass of wine contains 22 grams of alcohol and she drinks 2 glasses of wine so, total alcohol…

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

A: Now differentiating with respect to x, we get

Q: A stone of is dropped from a height of 77 meters with zero velocity. Assuming no air resistance,…

Q: pody cools in air of constant temperature 20°C according to Newton's law of cooling. T nutes after…

Q: A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is…

A: Solution is here

Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (Neglect air…

A: Explanation of the answer is as follows

Q: Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air…

A: From the given question we get, a(t)=y''(t)=-32 ft/sec2v(0)=y'(0)=66 ft/secy(0)=6 ft

Q: 5. Keri is riding a bike at a constant rate. She rides of a mile in of an hour. What is the unit…

A: speed(unit rate) =distance/ time

Q: Write a differential formula that estimates the change in diameter D of a tree if the circumference…

A: If the circumference increases from C0 to C0 +dC Then change in diameter D can be obtained by using…

Question

answer in percent

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later, the odometer read 22,125, Assume the scale on the odometer is in miles. What is the average speed the car traveled during this trip?
The carbon content of machine steel for gages usually ranges from 0.15% to 0.25%. Round the answers for a and b to 2 decimal places. a. What is the minimum weight of carbon in 250 kilograms of machine steel? b. What is the maximum weight of carbon in 250 kilograms of machine steel?
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A right circular cone 12.7 centimeters high contains 198.7 cubic centimeters of material. Find the area of the base of the cone. Round the answer to the nearest square centimeter.
Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.
Cast iron 10 cm in diameter is turned in a lathe at 350 rpm. Each length of cut is 65 cm and eight cuts are required.A carbide tool is fed into the work at 0.0425 cm = 0.425 mm per revolution. Use the formula TLFN to find thetotal cutting time. Round the answerto 1 decimal place.