I can email the pdf to you just email be at drbm3d at yahoo and i will forward the pdf for u if u cant read the text below Date: Nov 2009 Math 172 Review Test 3 Exercise 1. Solve the following equations (a) e2x = ex2π8 (b) 23πx = 5 (c) e2x + 9ex + 36 = 0 (d) ln x + ln(x + 1) = 7 (e) ln(x + 1) π ln(x π 2) = ln x : Exercise 2. Suppose that 500 dollars are invested into an account that yields an annual interest of 5% compounded every six months. (a) Find the amount in the account after 6 months. (b) Find the amount in the account after 1 year. (c) Let f(t) be the amount in the account after t years. Find a formula for f(t): (d) How long will it take for the amount to double? Exercise 3. The value of a painting V measured in million of dollars can be modeled as V (t) = 10ekt ; where t represents the year, with t = 0 corresponding to the year 1990. In 2004, the painting is worth 65 million dollars. (a) Find the value of the constant k. (b) Estimate the value of the painting in the year 2010. Exercise 4. A population of rabbits start with 100 rabbits. Every 3 months the population doubles. Let P(t) denote the size of the population where t is measured in years. (a) Find P after 3, 6, 9, 12 months. (b) Find P(t). (c) How long does it take for the population to triple in size? 1 Exercise 5. Convert the following angles from radians to degrees = 3 2 ; 5 4 ; 3 8 : Exercise 6. Find the point on the unit circle corresponding to the angle = 2 3 ; 3 4 ;π 4 3 ; 5 6 : Exercise 7. The point is on the terminal side of an angle in standard position. For the points below, determine the exact value of the six trigonometric functions (12; 16); (3;π4) : Exercise 8. Find the values of the six trigonometric functions at given that (a) sec = 6 5 and tan < 0 (b) cos = π 2 5 and sin > 0 : Exercise 8. Sketch the graph of the functions below. Include two periods. (a) f(x) = π2 sin(x + 2) (b) f(x) = tan(x) (c) f(x) = cos2x 3 + 1 (d) f(x) = cot(x π =4) : Exercise 9. Evaluate the expressions (a) arcsin 1 2 (b) arctanp3 (c) arccos 1 (d) sin 5 4 (e) cos 13 6 (f) tanπ 27 4 (g) arcsinsin 5 4 (g) arccoscos 5 4 : 2 Exercise 10. By sketching a right triangle, nd the exact value if the following expressions (a) sinarctan 3 4 (b) cosarcsin 5 13 (c) sin(arccos x) (d) cscarctan x px : this is the rapidshar like to download the pdf i need some real help so please if you can i will study it for dear life http://rapidshare.com/files/312514416/Review_3.pdf.html MD5: B3C629912905CB42A261A90104503D37