laneypooh1909 laneypooh1909

Today at 2:02 PM
Mathematics

Answered

The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear approximation to estimate the resulting error, measured in square inches, in the area of the puddle.

Answer :

zanderwiles2005 zanderwiles2005

Today at 2:07 PM

Answer:

I think the answer is 23

Answer Link

sqdancefan sqdancefan

Today at 2:06 PM

Answer:

the resulting error is about 0.754 in²

Step-by-step explanation:

A(r) -A(r0) ≈ dA/dr·(r -r0)

The area of a circle is given by ...

A(r) = πr²

so the derivative is

dA/dr = 2πr

and the area error is ...

dA/dr·(r -r0) = 2π(12 in)(0.01 in) = 0.24π in² ≈ 0.754 in²

Answer Link

Other Questions

A botanist discovers a new species of plant in a tropical rain forest. After observing its anatomy and life cycle, he notes the following characteristics: flage

A botanist discovers a new species of plant in a tropical rain forest. After observing its anatomy and life cycle, he notes the following characteristics: flage

Select the correct answer from each drop-down menu. Research studies show that the population of black-footed ferret is about 1,000. Biologists are worried tha

Apply the distributive property to find and match the correct answer to the equation. ITEM BANK: Move to Top x = −5 x = −9 x = 11 x = 12 x = 8 −5x + 6(4x + 15)

Barbara deposits $3,000 in a one year CD at 4.1% interest, compounded daily. What is the APY to the nearest hundredth of a percent?

What did god Indra grant king Shibi

taking a break from studies once in a while is very important it fashions up our body and mind what is your favourite hobbies during summer write a short paragr

(क) लेखक ने कैसे जीवन को महान बताया है ?J

the product of two number is class 6 ncert

V5-52Q.14 The lengths of the sides of triangle are 8cm 12cm and 16cm.find the area Alsofind the height corresponding to the longest side?ORIfrimet

Jill’s marriage has suffered ever since the birth of her second child. Since the birth, she has been depressed and has had little interest in intimacy with her

A woman gave birth vaginally to a 9-pound, 12-ounce girl yesterday. Her primary health care provider has written orders for perineal ice packs, use of a sitz ba

Which practices contribute to the prevention of postpartum infection? (Select all that apply.) a. Having staff members with conditions such as strep throat, con

At a regional airport with an elevation of 56 meters below sea level, the observed station pressure is 1029 mb. Using the equations presented in the activity,

Last year, there were 380 students at woodland middle school.This year, the student population will increase by 5%. What will be the school's increased student

A worker gets a raise of $120 per month and quickly decides to spend $90 of the money on necessities and the occasional luxury, while putting the remaining $30

A woman on the rear platform of a train moving with constant velocity drops a coin while leaning over the rail. Describe the path of the coin as seen by (a) the

According to the International Nanny Association (INA), 4,176 nannies were placed in a job last year. (www.nanny.org, 2007). Of course, only 24 were men. In Exe

A variation of break-even pricing is , which uses the concept of a break-even chart that shows the total cost and total revenue expected at different sales v

I need help on this question and I don’t really understand it and don’t know how to do it