KFUPM College Of Sciences Prep-Year Math. Program

Practice Exam. II

Q1. Given Find

a) Period

b) Phase shift

c) Range

d) Sketch the graph one full period.

Q2 Verify the identity

a)

b)

Q3. Find the exact value of

a)

b)

c)

Q4.

a) If Find

b) Verify the identity

Q5.

a) Given Find the range and phase shift of the

graph g.

b) Find the exact value of

Q6. Find exact solution where

a)

b)

Q7. a) Find the smallest positive angle between two vectors

b) Given . Find the scalar

projection of on

Q8. Find the equation of the parabola in standard form

with focus at (2,-3), and directrix

Q9. Find the center, vertices, and foci of the ellipse Sketch the graph.