MTH 142 Lecture 7: MTH 141 one class 7

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peachwoodchuck721

20 Aug 2018

School

University of Rochester

Department

Mathematics

Course

MTH 142

Professor

naomi

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Related Questions

1. Find the domain of the following functions:

a) sqrt(4-x)/sqrt(x^2-9)

b) (3)/(x+1)^2+ln(sqrt(6x-1)

2. Evaluate the following:

Simplify: (x+3)/2-(2)/(x+3)

3. Rationalize the numerator: (sqrt(2+x)-sqrt(2))/3

Check if the inverse of is .

1- Finddy/dxby implicitdifferentiation?

tan(x-y)=y/(1+x^2)

2- Two carsstart moving from the same point. One travels

south at 60mph andthe other travels west at 25 mph. At
what rate is the distance between the cars increasing two
hours later?

3-Find the linearapproximation of the function f(x)= sqrt(1-x) at a=0 and use it toapproximate the numbers sqrt(0.9) and sqrt(0.99),Illustratebygraphingfthe tangentline.

4-Find (f^-1)'(a),

f(x)=sqrt(x^3+x^2+x+1),a=2

5-Use logarithmicdifferentiation or an alternative method to find the derivative ofthe function.

y=sqrt(x)e^((x^2)-x) (x+1)^(2/3)

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MTH 142 Lecture 7: MTH 141 one class 7

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