Suppose that ( r , θ ) describes the sailing speed, r , in knots, at an angle θ to a wind blowing at 20 knots. You have a list of all ordered pairs ( r , θ ) for integral angles from θ = 0 ∘ to θ = 180 ∘ . Describe a way to present this information so that a serious sailboat racer can visualize sailing speeds at different sailing angles to the wind.
Suppose that ( r , θ ) describes the sailing speed, r , in knots, at an angle θ to a wind blowing at 20 knots. You have a list of all ordered pairs ( r , θ ) for integral angles from θ = 0 ∘ to θ = 180 ∘ . Describe a way to present this information so that a serious sailboat racer can visualize sailing speeds at different sailing angles to the wind.
Solution Summary: The author explains how the data can be represented as a table or graphically to determine the best sailing angle.
Suppose that
(
r
,
θ
)
describes the sailing speed, r, in knots, at an angle
θ
to a wind blowing at 20 knots. You have a list of all ordered pairs
(
r
,
θ
)
for integral angles from
θ
=
0
∘
to
θ
=
180
∘
. Describe a way to present this information so that a serious sailboat racer can visualize sailing speeds at different sailing angles to the wind.
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
Chapter 7 Solutions
MyLab Math with Pearson eText -- Combo Access Card (18-wk) for Algebra & Trigonometry
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