Friday

August 22, 2014

August 22, 2014

Posted by **MiKe** on Monday, November 14, 2011 at 7:56pm.

Please Help.

It makes no sense.

- Calculus -
**bobpursley**, Monday, November 14, 2011 at 8:21pmI assume x is a side length.

dS/dx=12x

dS=12x dx

find dS, you are given x as 6cm, dx as .1

S(6)=6*36

S(6.1)=6*37.21 EXACT change 6*1.21cm^2=7.38

Now, using linear approximation.

dS=12*6*.1=72*.1=7.2

Now notice the exact change is 7.38, the incremental change is 7.2

This indicates a bias in an increasing function. If you had used the midpoint value initially (6.05) dx=.1

dS=12*6.05*.1=7.26

So why is it off slightly? The area equation is NOT linear, yet we used the linear approximation model (origvalue+ slope*changex)

**Related Questions**

Geometry - When finding the surface area of a composite figure, which in this ...

Geometry - Please help me 1.The surface are of the exterior of hollow rubber ...

algebra - First: solve for k. Then, go back to the original equation c=k(d-3) ...

maths - b) if the surface area of the base is increased by times its original ...

math - An edge of a cube is increased by 10%. Find the percent by which the ...

calculus II SURFACE AREA Integration - Find the exact area of the surface ...

Math--Volume and Surface Area - The volume of a cube is 125 cubic inches. Find ...

Math - Are these correct: 1a) Find the lateral surface area in square inches of ...

Bio - Please Check my work and help me to answer the questions i could not get. ...

Bio - Please Check my work and help me to answer the questions i could not get. ...