HW assignment (40+ Qs): help me complete this

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
toombsam
Posts: 4
Joined: Mon May 09, 2011 11:58 pm
Contact:

HW assignment (40+ Qs): help me complete this

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

toombsam
Posts: 4
Joined: Mon May 09, 2011 11:58 pm
Contact:

Re: HW assignment (40+ Qs): help me complete this

so no one can help me?

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
so no one can help me?
How about replying with your work so far on each exercise? Or are you needing lesson links first, so you can learn the material?

toombsam
Posts: 4
Joined: Mon May 09, 2011 11:58 pm
Contact:

Re: HW assignment (40+ Qs): help me complete this

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
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
Ratios & Proportions
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.
Google results for "Law of Sines"
Google results for "Law of Cosines"
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)
Complex Numbers
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
Conics: Parabolas
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
Conics: Ellipses
15. Find the center, vertices, foci, and asymptotes of the following hyperbolas:
a
b
c
d
Conics: Hyperbolas
16. Solve each equation:
a. log5 =x =0
b. lne x =x = 2.718
Solving Logarithmic Equations
17. Change each logarithmic equation to exponential form:
a. log5 64 =3
b. log1/2 8 =-3
Logarithms
18. Simplify:
a. log2 x + log2 6
b. logb 9-x
c. loga x - 5loga y
Log Rules
d. 3x = 8
Is this a typo?
19. Solve
a. log3 (5x + 7)
Is this a typo?
b. log25+log26=log2 (6x)
c. log6 4x – log6 (7x+1)=0
Solving Logarithmic Equations

toombsam
Posts: 4
Joined: Mon May 09, 2011 11:58 pm
Contact:

Re: HW assignment (40+ Qs): help me complete this

thank you very much