Chapter 10 Review

Directions

• Take out a sheet of paper to answer all of the review problems. This will be collected for participation points!

• The “Last Man Standing” will be your prize!

LAST MAN STANDING

MILDLY SOMEWHAT MOSTLY TOTALLY

COSTUMED

MANFist Bump Fist Bump

Piece of

GumMunchkins

WEIRD

MAN

Rice Krispie Treats

Candy Candy Piece of

Gum

SICK

MAN

Extra Credit

Pt on TestCookies

Homework

Pass

HW Pass

ANGRY

MAN

Extra Credit

Pt on Test Cookies MunchkinsFist Bump

Eliminate the parameter.

x 4cos t, y 5sin t

Eliminate the parameter.

x 4cos t, y 5sin t

Find dy/dx of

3x t t , y 2 5t

Find dy/dx of

3x t t , y 2 5t

Find of

x 2sin 3t, y 3cos3t

2

2

d y

dx

Find of

x 2sin 3t, y 3cos3t

2

2

d y

dx

Find the length of the curve:

t tx e cos t, y e sin t,0 t

Find the length of the curve:

t tx e cos t, y e sin t,0 t

Find the magnitude and direction angle of the vector:

4, 5

Find the magnitude and direction angle of the vector:

4, 5

A woman walks northwest on the deck of a ship at 3 mph. The ship is moving North at a speed of 22 mph. Find the speed and direction of the woman relative to the surface of the water.

A woman walks due northwest on the deck of a ship at 3 mph. The ship is moving North at a speed of 22 mph. Find the speed and direction of the woman relative to the surface of the water.

Given the position vector:

Find the velocity and acceleration vectors.

2r(t) sin t ,cos 4t

Given the position vector:

Find the velocity and acceleration vectors.

2r(t) sin t ,cos 4t

Given the position vector:

Find the speed of the particle at t = 2.

2r(t) sin t ,cos 4t

Given the position vector:

Find the speed of the particle at t = 2.

2r(t) sin t ,cos 4t

Given the position vector:

Find the total distance travelled from t = 0 to

t = 3.

2r(t) sin t ,cos 4t

Given the position vector:

Find the total distance travelled from t = 0 to

t = 3.

2r(t) sin t ,cos 4t

Convert (-3, 5) to polar coordinates. Give angle in radians.

Convert (-3, 5) to polar coordinates.

Convert the polar equation into an equivalent rectangular equation:

2 2cos sin

Convert the polar equation into an equivalent rectangular equation:

2 2cos sin

Convert to rectangular coordinates.5

4,4

Convert to rectangular coordinates.5

4,4

Convert the polar equation to an equivalent rectangular equation:

r 6 tan sec

Convert the polar equation to an equivalent rectangular equation:

r 6 tan sec

Find the area enclosed by the limacon

r 4 sin

Find the area enclosed by the limacon

r 4 sin

Find the slope of the tangent line at the point of the graph of:

r sin 3 6

Find the slope of the tangent line at the point of the graph of:

r sin 3 6

Find the area inside the inner loop of:

r 2sin 1

Find the area inside the inner loop of:

r 2sin 1