I have to complete this HW assignment for my class on monday 5/16/11, and i am completely stumped. Can anyone please help me complete this and help me to understand this stuff. i answered some of the questions that i sorta understand.

1. A tree casts a shadow 50 yards long when the angle of the sun (measured from the horizon) is 30 degrees. How tall is the tree in yards? =28.86

2. A triangle ABC has angle A = 104 o, angle C = 33 o and side c = 9 m. Solve the triangle ABC by finding angle B and sides a and b.(round answers to 1 decimal place).

3. Given A = 42°, B = 75° and c = 22 cm. Find the remaining angle and sides.

4. Given a = 22, b =12 and A = 40°. Find the other angles and side.

5. In , side b = 12, side c = 20 and m<A = 45º. Find side a to the nearest integer.

6. In triangle DEF, side e = 8 cm, f = 10 cm, and the angle at D is 60°. Find side d.

7. Find the magnitude, and unit vector of v=(-3,4)

8. With u=(2,1) and v=(-2,-3) find:

a. 3u=6,3

b. 4v-3u=-14,13

c. ||v||= sqrt(13)

d. ||3u-2v||

9. (3 - 5i) + (6 + 7i)=

10. (2 + 3i)(4 + 7i)=

11. Perform the following operations.

(a) (-3 + 4i) + (2 - 5i). =1-1i

(b) 3i - (2 - 4i).

(c) (2 - 7i)(3 + 4i).

(d) (1 + i)(2 - 3i).

12. Divide :

a. (2 + 6i) / (4 + i)

b. (1 - 2i) / (2 - i)

c. (3 + 6i) / (11 - i)

d. (8 - i) / (2 - i)

13. Find the vertex, focus, directrix of the following parabolas:

a. x2 = -4y

b. x2 +8x-y+6=0

c. 2x+4y2+8y-5=0

d. 3x2-6x-9y+4=0

Given the following equation

14. Find the center, vertices and foci of each ellipse:

a. 9x2 + 4y2 = 36 =center=0, vertices=x=-2,0 and 2,0 y=3,0 -3,0

b. 3x2 + 4y2 = 12

c. 4x2 + y2 -24x-8y+48= 0

d. x2 + 9y2 +6x-36y+36=0

15. Find the center, vertices, foci, and asymptotes of the following hyperbolas:

a

b

c

d

16. Solve each equation:

a. log5 =x =0

b. lne x =x = 2.718

17. Change each logarithmic equation to exponential form:

a. log5 64 =3

b. log1/2 8 =-3

18. Simplify:

a. log2 x + log2 6

b. logb 9-x

c. loga x - 5loga y

d. 3x = 8

19. Solve

a. log3 (5x + 7)

b. log25+log26=log2 (6x)

c. log6 4x – log6 (7x+1)=0