Question

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.
A) plus or minus 0.24pi
B) Plus or minus 0.024pi
C) plus or minus 0.06pi
D)Plus or minus 0.0004166

Answer 1

@ganeshie8 can u plz help ? :)

Answer 2

@Kainui

Answer 3

@Destinymasha

Answer 4

@abb0t

Answer 5

@TuringTest

Answer 6

@ganeshie8

Answer 7

@sammixboo @pooja195 can u plz help ?:)

Answer 8

@Compassionate

Answer 9

@Hero can u plz help? :)

Answer 10

@CGGURUMANJUNATH can u plz help ? :)

Answer 11

@freckles can u plz help? :)

Answer 12

You know the formula for any circular object is \[A=\pi r ^{2}\] Now what you do is take its derivative. \[dA=2\pi r dr\]where r is the radius and dr is the tiny difference. So plugging in values you are given \[dA = 2 \pi (12)(0.01)\] Use a calculator and you will get 0.24 pi.

Answer 13

http://www.zweigmedia.com/RealWorld/calctopic1/linearapprox.html
it looks like you can use:
\[\Delta y= \approx \Delta x \cdot \frac{dA}{dr}_{x=12}\]

Answer 14

r=12*

Answer 15

are actuallly snow has all the work above

Answer 16

thank u all! 2 best answers :)