MATH1910Chapter2Section5homework

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Multiple Choice
Identify the choice that best completes the statement or answers the question.

Find by implicit differentiation.

a.
b.
c.
d.
e.

Find by implicit differentiation.

a.
b.
c.
d.
e.

Find by implicit differentiation.

a.
b.
c.
d.
e.

Find

by implicit differentiation given that

a.
b.
c.
d.
e.

Find by implicit differentiation.

a.
b.
c.
d.
e.

Find by implicit differentiation.

a.
b.
c.
d.
e.

Find by implicit differentiation.

a.
b.
c.
d.
e.

Evaluate

for the equation

at the given point

. Round your answer to two decimal places.

a.
b.
c.
d.
e.

Find

by implicit differentiation given that

a.
b.
c.
d.
e.

10.

Evaluate

for the equation

at the given point

. Round your answer to two decimal places.

a.
b.
c.
d.
e.

11.

Find

by implicit differentiation given that

. Use the original equation to simplify your answer.

a.
b.
c.
d.
e.

12.

Find the slope of the tangent line

at the given point

. Round your answer to two decimal places.

a.	0.67
b.	2.00
c.	1.00
d.	1.67
e.	3.00

13.

Find an equation of the tangent line to the graph of the function

at the point

.The coefficients below are given to two decimal places.

a.
b.
c.
d.
e.

14.

Find an equation of the tangent line to the graph of the function given below at the given point.

(The coefficients below are given to two decimal places.)

a.
b.
c.
d.
e.

15.

Use implicit differentiation to find an equation of the tangent line to the ellipse

a.
b.
c.
d.
e.

16.

Find

in terms of x and y given that

. Use the original equation to simplify your answer.

a.
b.
c.
d.
e.

17.

Find

in terms of x and y.

a.
b.
c.
d.
e.

18.

Find

in terms of x and y given that

a.
b.
c.
d.
e.

19.

Find

in terms of x and y.

a.
b.
c.
d.
e.

20.

Find the points at which the graph of the equation has a vertical or horizontal tangent line.

a.	There is a vertical tangent at but no horizontal tangents.
b.	There is a horizontal tangent at and a vertical tangent at .
c.	There is a horizontal tangent at but no vertical tangents.
d.	There is a horizontal tangent at and a vertical tangent at .
e.	There are no horizontal or vertical tangent lines.