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Graph the point. -Graph the point. - A) B)


A) Graph the point. - A) B)
B) Graph the point. - A) B)

C) A) and B)
D) undefined

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Solve the triangle. If there is more than one triangle with the given parts, give both solutions. -Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 31.7° b = 13.12 A = 24.0 A) B) No solution C) D) = 31.7° b = 13.12 A = 24.0


A) Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 31.7° b = 13.12 A = 24.0 A) B) No solution C) D)
B) No solution
C) Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 31.7° b = 13.12 A = 24.0 A) B) No solution C) D)
D) Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 31.7° b = 13.12 A = 24.0 A) B) No solution C) D)

E) A) and D)
F) A) and B)

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Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. - A) (-0.50, -2.86) B) (-2.86, -0.50) C) (2.86, -0.50) D) (-0.50, 2.86)


A) (-0.50, -2.86)
B) (-2.86, -0.50)
C) (2.86, -0.50)
D) (-0.50, 2.86)

E) C) and D)
F) B) and D)

Correct Answer

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Solve. -A guy wire to a tower makes a 69° angle with level ground. At a point 34 ft farther from the tower than the wire but on the same side as the base of the wire, the angle of elevation to the top of the tower is 32°. Find the length Of the wire (to the nearest foot) .


A) 65 ft
B) 35 ft
C) 60 ft
D) 30 ft

E) A) and B)
F) C) and D)

Correct Answer

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Perform the indicated operation. Write the answer in the form a + bi. -Perform the indicated operation. Write the answer in the form a + bi. - A) B) C) D)


A) Perform the indicated operation. Write the answer in the form a + bi. - A) B) C) D)
B) Perform the indicated operation. Write the answer in the form a + bi. - A) B) C) D)
C) Perform the indicated operation. Write the answer in the form a + bi. - A) B) C) D)
D) Perform the indicated operation. Write the answer in the form a + bi. - A) B) C) D)

E) A) and B)
F) A) and D)

Correct Answer

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Perform the operation using trigonometric form. Write the answer in the form a + bi -(5 + 7i) (5 + 4i)


A) Perform the operation using trigonometric form. Write the answer in the form a + bi -(5 + 7i) (5 + 4i) A) B) -3 - 55i C) 53 + 15i D) -3 + 55i
B) -3 - 55i
C) 53 + 15i
D) -3 + 55i

E) B) and C)
F) A) and D)

Correct Answer

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Change the polar coordinates Change the polar coordinates to rectangular coordinates (x, y) . -(6, 45°) A) B) C) D) to rectangular coordinates (x, y) . -(6, 45°)


A) Change the polar coordinates to rectangular coordinates (x, y) . -(6, 45°) A) B) C) D)
B) Change the polar coordinates to rectangular coordinates (x, y) . -(6, 45°) A) B) C) D)
C) Change the polar coordinates to rectangular coordinates (x, y) . -(6, 45°) A) B) C) D)
D) Change the polar coordinates to rectangular coordinates (x, y) . -(6, 45°) A) B) C) D)

E) B) and C)
F) A) and D)

Correct Answer

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Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. - A) B) C) D) Round to the nearest tenth. -Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. - A) B) C) D)


A) Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. - A) B) C) D)
B) Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. - A) B) C) D)
C) Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. - A) B) C) D)
D) Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. - A) B) C) D)

E) None of the above
F) All of the above

Correct Answer

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Eliminate the parameter of the pair of parametric equations. -Eliminate the parameter of the pair of parametric equations. - A) B) C) D)


A) Eliminate the parameter of the pair of parametric equations. - A) B) C) D)
B) Eliminate the parameter of the pair of parametric equations. - A) B) C) D)
C) Eliminate the parameter of the pair of parametric equations. - A) B) C) D)
D) Eliminate the parameter of the pair of parametric equations. - A) B) C) D)

E) B) and D)
F) None of the above

Correct Answer

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Graph the polar equation. -Graph the polar equation. - A) B) C) D)


A) Graph the polar equation. - A) B) C) D)
B) Graph the polar equation. - A) B) C) D)
C) Graph the polar equation. - A) B) C) D)
D) Graph the polar equation. - A) B) C) D)

E) All of the above
F) None of the above

Correct Answer

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Perform the indicated operation. Write the answer in the form a + bi. -4(cos 30° + i sin 30°) · 6(cos 330° + i sin 330°)


A) Perform the indicated operation. Write the answer in the form a + bi. -4(cos 30° + i sin 30°) · 6(cos 330° + i sin 330°) A) B) 24i C) D) 24
B) 24i
C) Perform the indicated operation. Write the answer in the form a + bi. -4(cos 30° + i sin 30°) · 6(cos 330° + i sin 330°) A) B) 24i C) D) 24
D) 24

E) A) and B)
F) A) and C)

Correct Answer

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Find the magnitude and direction angle of the resultant. -Find the magnitude and direction angle of the resultant. - A) B) C) D) 2, 101.3°


A) Find the magnitude and direction angle of the resultant. - A) B) C) D) 2, 101.3°
B) Find the magnitude and direction angle of the resultant. - A) B) C) D) 2, 101.3°
C) Find the magnitude and direction angle of the resultant. - A) B) C) D) 2, 101.3°
D) 2, 101.3°

E) B) and C)
F) A) and D)

Correct Answer

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Approximate the area of the triangle to the nearest tenth. -Approximate the area of the triangle to the nearest tenth. - = 60.8°, a = 36.2, c = 75.4 A) 1187.1 B) 1191.3 C) 1206.4 D) 1200.6 = 60.8°, a = 36.2, c = 75.4


A) 1187.1
B) 1191.3
C) 1206.4
D) 1200.6

E) A) and D)
F) A) and C)

Correct Answer

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Perform the indicated operation. Use the form <a, b> for vectors. -u = <11, 10>, v = <12, 23>; Find u - v.


A) <1, -11>
B) <-1, -13>
C) <21, 35>
D) <23, 33>

E) A) and B)
F) B) and C)

Correct Answer

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Approximate the area of the triangle to the nearest tenth. -Approximate the area of the triangle to the nearest tenth. - A) 343.4 B) 132.7 C) 204.4 D) 171.7


A) 343.4
B) 132.7
C) 204.4
D) 171.7

E) A) and D)
F) A) and C)

Correct Answer

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Graph the pair of parametric equations in the rectangular coordinate system. -Graph the pair of parametric equations in the rectangular coordinate system. - A) B) C) D)


A) Graph the pair of parametric equations in the rectangular coordinate system. - A) B) C) D)
B) Graph the pair of parametric equations in the rectangular coordinate system. - A) B) C) D)
C) Graph the pair of parametric equations in the rectangular coordinate system. - A) B) C) D)
D) Graph the pair of parametric equations in the rectangular coordinate system. - A) B) C) D)

E) B) and D)
F) C) and D)

Correct Answer

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Write the complex number in the form a + bi. -3(cos 60° + i sin 60°)


A) Write the complex number in the form a + bi. -3(cos 60° + i sin 60°) A) B) C) D)
B) Write the complex number in the form a + bi. -3(cos 60° + i sin 60°) A) B) C) D)
C) Write the complex number in the form a + bi. -3(cos 60° + i sin 60°) A) B) C) D)
D) Write the complex number in the form a + bi. -3(cos 60° + i sin 60°) A) B) C) D)

E) A) and B)
F) A) and C)

Correct Answer

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Solve. -Two forces of 24 and 52 N (newtons) act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the smaller force.


A) 57 N, 65°
B) 57 N, 75°
C) 3280 N, 65°
D) 57 N, 25°

E) A) and D)
F) None of the above

Correct Answer

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Determine which of the position vectors shown in the figure below has the given magnitude and direction angle. Determine which of the position vectors shown in the figure below has the given magnitude and direction angle. -Magnitude 2 and direction angle 150° A) E B) C C) D D) B -Magnitude 2 and direction angle 150°


A) E
B) C
C) D
D) B

E) B) and D)
F) A) and D)

Correct Answer

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For the given complex number, determine the complex conjugate in trigonometric form. -For the given complex number, determine the complex conjugate in trigonometric form. - (cos (-30°) + i sin (-30°) ) A) (cos (30°) + i sin (30°) ) B) (cos (-30°) + i sin (-30°) ) C) (cos (30°) + i sin (-30°) ) D) (cos (-30°) + i sin (30°) ) (cos (-30°) + i sin (-30°) )


A) For the given complex number, determine the complex conjugate in trigonometric form. - (cos (-30°) + i sin (-30°) ) A) (cos (30°) + i sin (30°) ) B) (cos (-30°) + i sin (-30°) ) C) (cos (30°) + i sin (-30°) ) D) (cos (-30°) + i sin (30°) ) (cos (30°) + i sin (30°) )
B) For the given complex number, determine the complex conjugate in trigonometric form. - (cos (-30°) + i sin (-30°) ) A) (cos (30°) + i sin (30°) ) B) (cos (-30°) + i sin (-30°) ) C) (cos (30°) + i sin (-30°) ) D) (cos (-30°) + i sin (30°) ) (cos (-30°) + i sin (-30°) )
C) For the given complex number, determine the complex conjugate in trigonometric form. - (cos (-30°) + i sin (-30°) ) A) (cos (30°) + i sin (30°) ) B) (cos (-30°) + i sin (-30°) ) C) (cos (30°) + i sin (-30°) ) D) (cos (-30°) + i sin (30°) ) (cos (30°) + i sin (-30°) )
D) For the given complex number, determine the complex conjugate in trigonometric form. - (cos (-30°) + i sin (-30°) ) A) (cos (30°) + i sin (30°) ) B) (cos (-30°) + i sin (-30°) ) C) (cos (30°) + i sin (-30°) ) D) (cos (-30°) + i sin (30°) ) (cos (-30°) + i sin (30°) )

E) A) and B)
F) None of the above

Correct Answer

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