The linearization of f x 3 8 3 x at x 0 is given by L x 2 1 4 x a L x 2 x b L x

# The linearization of f x 3 8 3 x at x 0 is given by l

This preview shows page 4 - 8 out of 12 pages.

6.The linearization off(x) =383xatx= 0 is given byL(x) = 214x(a)(b)(c)(d)(e)L(x) = 2xL(x) = 8 +13xL(x) = 24xL(x) = 1 + 3x
Math 101, Exam II, Term 123Page4 of 10MASTER7.The edge of a cube increases at a rate of 3cm/s. When theedge length is 2cm, the rate at which thesurface areaofthe cube is increasing is72cm2/s36cm2/s12cm2/s84cm2/s40cm2/s8.Iffis a differentiable function ofxandg(x) =exf(ex),theng(x) =g(x)f(ex)ex(f(ex) +f(ex))f(ex)exf(ex)g(x) +f(ex)
Math 101, Exam II, Term 123Page5 of 10MASTER9.Ifz=(u1u+ 1)2andu=1x21,thendzdx|x=1is84121210.At timetthe positions(t) of a body moving in a straightline is given bys(t) =t36t2+ 9t(inm)Thetotal distancetravelled by the body fromt= 0 tot= 4 is12m(a)(b)(c)(d)(e)4m8m0m6m
Math 101, Exam II, Term 123Page6 of 10MASTER

#### You've reached the end of your free preview.

Want to read all 12 pages?

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern