The answers are in the 5th picture

Page 1 of 6 0 - 2. A man and a woman standing 3.5 miles apart on level ground spot a hot air balloon that is between them. If the angle of elevation from the man is to the balloon is 27 and the angle of elevation from the woman is 41 , find the altitude of the balloon.& Download A Alternative formats Page 2 of 6 O - 3. Given vectors a = and b = , find: a) a+b b) 2a - 3b c) ll all d) a b e) Find a unit vector that has the same direction as a. f) Find the measure of the angle between the two vectors. 4. Convert the given polar coordinates to Cartesian coordinates. (3, --) here tocredit Exam 4.pdf & Download A Alternative formats Page 2 of 6 Zoo 5. Convert the given Cartesian equation to a polar form equation. x2 + yz = 3y 6. Given the complex numbers z = (2v3 + 2i) and w = (2V2 - 2V2i) : a) Convert each of them into trigonometric form b) Use the trig forms to find zw , z/w, and w6 c) Rewrite the answers back into rectangular form. O W P 58.FIre.com/courses/60115/assignments/854040 Download A Alternative for Page 3 of 6 7. Given the systems, determine what shape will the graph of each of them have and then solve the systems: a) 9x2+ 16y2 = 288 b) 2x + 3y = - 16 x2 - yz = 7 5x - 10y = 30 3x - 5y = 9 C) 9x - 15y = 27 y - 6x2 = 16 O 9 W P 58.F prison Home End R Y U OPage Answers. 1. a) B1 = 500, A1 = 950, a1 = 10.4, B2 = 1309, A2 = 150, a1 = 2.7 b) C =1000, b = 6.53, c= 12.86 c) b= 26.15, C= 23.420, A = 96.580 2. 1.12mi 3. a. , b., c. V41, d.-32, e. , f. 127.30 4. 2,3N3 5. r = 3sino 6. a. 4cis30, 4cis3150, b. 16cis3450 = 15.45 - 4.14i, 1cis750 = 0.26 +0.97i, 4096cis90 = 40961 7. a. ellipse and hyperbolas (4,3), (-4, 3), (4, -3), (-4, -3) b. Lines (-2, -4) c. Lines (5/3y+3, y), where y is any real number d. Parabola and hyperbola, (2v/2, 8), (-2V2, 8) 8. Magnitude V65, direction 0 = 299.740 9. C = (-1, -2), V = (2, -2) & (-4, -2), F = (-1 + V5, -2) & (-1 -V5, -2) 10. *-2)2 (1-1)2 21 = 1 25 11. C = (0, 0), y = 1 5 x, V= (0, 3), (0, -3), F = (0, +V13) 12 (x-4)2 _(y-2)2 = 1 25 13. V = (1, -1), F = (-1, -1), dir: x = 3 14. (2, -1, 2) 15. [22 14 -11 130 15 . 4 9 23 J'Lo 5 111 16.- -9 17 1_ 1 4x 2 ( 2 + 3 ) 2 ( 2 + 5)'x X 2 +6 (x 2 + 6 ) 2