Answered: Use differentials to approximate the…

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) V35.5 using differentials using a calculator

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 45A

See similar textbooks

Related questions

Q: Use linearization to approximate the value shown. (Round your answer to four decimal places.) V27.9…

A: I have used the formula for linear approximation of the given function

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

A: In this question we will use basic of differentiation. First we will write formula of area of…

Q: 50) Use Antiderivatives to write equation for P,(t). Remember to solve for all your Cs. an

A: Given: The curve showing the velocity where the data about first two hours is not given, and…

Q: What is the measure of ? Show your work and explain the steps you used to solve. J 26 94° 46° K Use…

A: This is a question related to angle and arc. Based on the concept available for angle and arc within…

Q: A spherical balloon is inflating with helium at a rate of 64r min ft How fast is the balloon's…

A: The given problem is of application of derivatives. Proceed as shown below...

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: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the…

A: We can find the required acceleration as below.

Q: (c) When t = 25, water is running out of the drainpipe at a rate of 7660 gallons per minute. What is…

Q: A small machine shop manufactures drill bits used in the petroleum industry. The manager estimates…

A: Given ,total daily cost of producing X bit is C(x) = 1000 +25x -0.29 x2Average cost of producing 10…

Q: You are walking against the wind. Your normal speed without the wind is 5 M.P.H. How long will it…

Q: A weight is tossed upward from a building that is 9 meters high, at a speed of 9 meters per second.…

Q: An object is dropped from a tower, 784 ft above the ground. The object's height above ground t…

A: It is a very simple problem. we can deal with this easily if we understand differentiation clearly.…

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

Q: If y=x'+2x- 3, find the approximate value of y when x = 2.01. The approximate value is Blank 1. The…

Q: Grass clippings are placed in a bin, where they decompose. For 0<t < 30 , the amount of grass…

A: Remember this derivative formula, you will be using this while calculation: ddtat=at lna

Q: A baseball is dropped from a stadium seat that is 91 feet above the ground. Its height is s in feet…

Q: Use differentials to estimate the value of (1.06)3 square root (5-(1.06)3) Final answer : 2.33

A: Given The expression is 1.0635-1.063 . Formula :- Linear approximation formula Lx≈f(a)+x-af'a

Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly…

A: Given:The average score in percentage is given by:

Q: Height The volume of oil in a cylindrical container is increasing at a rate of 150 cubic inches per…

A: Given: Volume of the cylinder V=πr2hTo find the rate is the height of the oil?

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

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: /hat value of k will satisfy the equation P(0 <z < k) = 0.3749? lote: Write your answer using two…

Q: fllawing initial value problam us ng LT: O: Solve the

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

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

A: We have to find the root of 95 using the Differentiation.

Q: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream…

A: Please see the explanation below

Q: far will it skid on wet tar?

A: Given: Police use the formula s=30fd to estimate the speed at which a car is travelling if skids d…

Q: two decimal places. Show your solutic 599 36 12

Q: A weight is launched upward from the ground at a speed of 55 feet per second. The height in meters…

Q: strating th e = 0.4, which of ices?

A: The limit of the function is limx→-13x+2=-1. It is given that ∈=0.4. Using the ∈-δ method, the limit…

Q: A 68.5 kg astronaut is doing a repair in space on the orbiting space station. She throws a 2.55 kg…

Q: A box is tossed upward from a building that is 18 meters high, at a speed of 9 meters per second.…

A: The height of the box after t seconds is given by, h(t)=-4.9 t2+9t+18

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

A: Definition used - Approximation of square root using differential - It is called…

Q: A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000…

Q: A dynamite blast blows a heavy rock straight up with a launch velocity of 49 m/s (176.4 km/h) (see…

Q: #17

A: To determine the distance traveled by the object.

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: t2 In³ (t) dt 3 G =

Q: Find how rapidly the volume is increasing at the moment when the radius is 5 centimeters. [Hint: The

Q: An astronaut standing on the moon throws a rock upward. The height of the rock is attached. where s…

A: Given: An astronaut standing on the moon throws a rock upward. The height of the rock is s which…

Q: e) After 24 seconds, when will Trevor be at the lowest height again? Explain your answer. f) After…

A: So , we need to add period in the time to find highest height and lowest height. Period from the…

Q: A skydiver weighing 265 lbf (including equipment) falls vertically downward from an altitude of 6000…

A: Given information: 265lbf=weight of skydiver , Ws Ws= (downward force due to gravity on…

Q: The velocity of an automobile starting from rest is given by the equation below, where v is measured…

A: To find the function of acceleration,take the derivative of velocity function.

Q: 10 Approximate the change in the atmospheric pressure when the altitude increases from z = 3 km to…

A: The formula for atmospheric pressure is,

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: Velocity at t hours afternoon = - 5t4 + 45t3 - 144t2 + 170t miles/hour At 3:45 PM, We have to…

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…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.)
35.5
using differentials
using a calculator

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Q) Differentiate___________, where a, b, c, m and n are constants. A clear step by step solving of this question would be much appreciated. Thank you!
You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect. (d) You run the analysis and the p-value is 0.9, α = 0.001 and β = 0.01. If you fail to reject H0, What is the probability that you made the wrong decision in this case? (e) Under what conditions could an expert witness give the following statement based solely on lead bullet statistical evidence: “The bullet fragments must have come from the same box or from another box that would have been made by the same company on the same day.”
4. Find P(temp greater than average | carbon dioxide levels higher than normal). You may use the formula below Based on what you've found, would you say that 'temp greater than average' and 'carbon dioxide levels higher than normal' are INDEPENDENT or DEPENDENT P(A | B) = P(A and B) / P(B)
(b) Test the hypothesis that whether people drink wine is independent of whether people watch tennis. Set α = .05. (Round your answer to 3 decimal places.)
The height of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min. At what rate is the base of the triangle changing when the height is 10 cm and the area is 100 cm^2? Include units in your answer.
A truck driver travels at an average speed of 75 miles per hour on a 190-mile trip to pick up a load of freight. On the return trip (with the truck fully loaded), the average speed is 60 miles per hour. What is the average speed for the round trip ? (Round your answers to one decimal place.)
An astronaut standing on the moon throws a rock upward. The height of the rock is attached. where s is measured in feet and t is measured in seconds. (a) Find expressions for the velocity and acceleration of the rock. (b) Find the time when the rock is at its highest point by finding the time when the velocity is zero. What is the height of the rock at this time? (c) How does the acceleration of the rock compare with the acceleration due to gravity on Earth?
A plane travels N45°E at an airspeed of 1000 km/h. Measurement on the ground shows that the plane is traveling N40°E at a speed of 1050 km/h. What is the velocity of the wind? Include a diagram with your solution.
You are a crime scene investigator trying to match the lead content of bullet fragments found at a crime scene to the lead content of a box of bullets found with a suspect. To simplify this question, assume that the instrument you use gives you one measurement per fragment in grams/cm3. Assume that you have 5 measurements from fragments found at the crime scene and 7 measurements from bullets found with the suspect. (b) What are H0and Ha? Write them both mathematically and in words. (c) You run the analysis and the p-value is 0.0001 and α = 0.001, and β = 0.9. If you reject H0, what is the probability that you made the wrong decision in this case?
A box is partially filled with liquid. The length of the box is 11 inches. The width of the box is 17 inches. If the volume of the liquid is increasing at a rate of 562 cubic inches per minute, what is the rate, in inches per minute, at which the height of the liquid is changing when the height of the liquid is 4 inches? Round your answer to the nearest hundredth. (Do not include any units in your answer.)
An inverted cone is partially filled with water. The radius of the inverted cone is 16 mm. The height of the inverted cone is 18mm. If the volume of the water is increasing at a rate of 548 cubic mm per hour, what is the rate, in mm per hour, at which the height of the water is changing when the height of the water is 2 mm? Round your answer to the nearest hundredth. (Do not include any units in your answer.) Remember that the volume of a cone is V=1/3 πr2 h.
In your English class, essays are 40% of your grade, homework is 20% of your grade, attendance is 5% of your grade, and the final project is 35% of your grade. At the end of the semester, your essay average is 82, your homework average is 92, and your attendance average is 92. What score do you need on the final project to get an A- (90%) in the class? (Round your answer to 2 decimal places.)