Test 2

Question 1

Equation of an ellipse

Answer 1

(x^2)/a + (y^2)/b =1

Question 2

Equation of a hyperbola

Answer 2

y^2/a^2 - x^2/b^2 = 1

Question 3

Equation of a circle

Answer 3

(x^2)/a + (y^2)/a = 1

Question 4

Steps for graphing a curve defined by a vector equation.

Answer 4

1. Find the rectangular equation.
2. Use algebra to eliminate t.
3. Graph (Don’t put arrows on end!)
4. Find c: r(t) at 0 and 1 to find direction.
5. Draw arrows in the correct direction.

Question 5

Similarities and differences between sketched graphs.

Answer 5

Look at domains.

Question 6

What is the domain of a sint or cost graph

Answer 6

0 to 1

Question 7

Graph the curve C and vectors r(1), v(1), and a(1)

Answer 7

1. Same procedure for graphing curve.
2. graph r vector from origin to point on curve.
3. graph v and a vector with tail and head of r

Question 8

IVP. Given r’, r(0)=i+j+k. Find r(t).

Answer 8

1. Integrate r’ to find r. <i></i>

2. Use r(0) to find constants. (Set constants equal to r(0))</i>