###### The Great Courses Study Workbook for... Understanding Calculus: Problems, Solutions, and Tips

430 SOLVED PROBLEMS

Question: 2.P.3

## Test the equation y = x² / x²+1  for symmetry with respect to each axis and the origin . ...

It is symmetric with respect to the y-axis, becaus...
Question: 2.P.2

## Find the intercepts of the graph of the equation x√16 – x² . ...

y-intercept: y=0{\sqrt{16-0^{2}}}=0;(0,0).[...
Question: 2.P.1

Question: 1.P.3

## Find the equation of the tangent line to the cubic polynomial y =x³ at the point (-1,-1). ...

Let Q = ( x, x³ ) be another point on the graph of...
Question: 1.P.2

## Find the equation of the tangent line to the parabola y = x² at the point (0,0). ...

Let Q = ( x, x²) be another point on the graph of ...
Question: 1.P.1

## Find the equation of the tangent line to the parabola y = x² at the point (3,9) . ...

Find the equation of the tangent line to the parab...
Question: 33.2

## Finding an Antiderivative Calculate ∫1/1-sin x dx. ...

It is not obvious how to proceed. The trick here i...
Question: 33.1

## Two Similar Integrals Calculate the integrals: 1. ∫4/x²+9 dx. 2. ∫4/x²+9 dx. ...

1. For this integral you use the arctangent rule: ...
Question: 32.2