PreCalc Final Exam Content

Question 1

How do you figure out the number of triangles possible?

Answer 1

• 1 triangle when opposite is greater than or equal to adjacent.
• 2 triangles when opposite is greater than height
• 0 traingles when height is greater than opposite.

Question 2

How do you differtinate between the 4 limacon curves?

Answer 2

1. Inner loop when a/b is less than 1
2. Cardioid when a/b = 1
3. Dimpled limacon with no inner loop when 1<a/b<2
4. limacon with no dimple/no inner loop when a/b is greater than or equal to 2
   ***a and b are positive

Question 3

How do you find the inverse of a 2x2 matrix?

Answer 3

A = [ A B
C D]

A-1 = 1/ad-bc [ d -b
-c a]

Question 4

What is the fomula for combinations?

Answer 4

n! / r! (n-r)!

Question 5

What is the formula for permutations?

Answer 5

n! / (n-r)!

Question 6

How do you find the angle between two vectors?

Answer 6

theta = inverse cosine of u*v (dot product) / magnitude fo u * magnitude of v