Question: (a) A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 15

(a) A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 15 mm and it wants to know how the area A(x) of a wafer changes when the side length x changes. Find A'(15) and explain its meaning in this situation.
(b) Show that the rate of change of the area of a square with respect to its side length is half its perimeter. Try to explain geometrically why this is true by drawing a square whose side length x is increased by an amount Δx. How can you approximate the resulting change in area ΔA if Δx is small?

Step by Step Solution

★★★★★

3.42 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Ax x 2 Ax 2x A15 30 mm 2 mm is the rate at which the area is increasing with re... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

786-C-D-E (460).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Suppose a countrys central bank wants to keep the real exchange rate constant. What should it do to the real interest rate if foreign economies enter recessions?

In hypothesis testing, one wants to keep the probability of Type I error ____ and still have a reasonable chance to ____ the null hypothesis.

A video conference application wants to keep the end-to-end packet delay below 200ms, and at a rate of at least 1Mb/s. The packets are all 10,000bits long and pass through 9 routers (and therefore...

Homework 03: Problem 8 (1 pt) (a) A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 15 mm, and it wants to know how the area A(x)...

3.7 Homework - Rates of Change (Homework) 6. [-/1 Points] DETAILS SCALCET8 3.7.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A company makes computer chips from square wafers of silicon. It wants...

(a) A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 15 mm and it wants to know how the area A(x) of a wafer changes when the...

A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 12 mm and it wants to know how the area Ax) of a wafer changes when the side...

(a) A company makes computer chips from square wafers of silicon. It wants to keep the side length of a wafer very close to 15 mm and it wants to know how the area Asxd of a wafer changes when the...

Please generate answers to questions #13,17,19 in pics. Please show all work. 13. a. A company makes computer chips from square wafers of silicon. A process engineer wants to keep the side length of...

A company makes computer chips from square wafers of silicon. A process engineer wants to keep the side length of a wafer very close to 18 mm and needs to know how the area A(x) of a wafer changes...

Spieth Company employees had the following earnings records at the close of the November 30 Bi-weekly payroll period. Name o the Employee Weekly hours Hourly Rate Scott 80 16.50 Quageber 70 18.50...

Alexsandra Isosev Industries has three operating divisionsFalilat Mining, Mourning Paperbacks, and Osygus Protection Devices. Each division maintains its own accounting system and method of revenue...

how could the shareholders of orion holdings have done better to make up for the failure to disclose financial risk

18. A project has a tight budget when you begin negotiating with a seller for a piece of equipment. The seller has told you the equipment price is fixed. Your manager has tol

Use the graphs of f, f', and f'' to estimate the x-coordinates of the maximum and minimum points and inflection points of f. cos'x Vr? + x + 1' f(x)

Use the graphs of f, f', and f'' to estimate the x-coordinates of the maximum and minimum points and inflection points of f. f(x) = e 0.1x In(x? 1)

Show that the equation 3x + 2 cos x + 5 = 0 has exactly one real root.

hi, can anyone help me answering the question and please provide me the calculation step by manually calculating the answer. ty b. The fire insurance company wants to relate the amount of fire damage...

Please help 1. A random sample of 50 students who took an aptitude test had a mean raw score of 32. An evaluator from the school claims the score is at least 30. At 5%% level of significance is there...

3. Problem 10.03 (Cost of Common Equity) eBook Pearson Motors has a target capital structure of 30% debt and 70% common equity, with no preferred stock. The yield to maturity on the company's...