Question 1

Use the nth roots theorem to find the three cube roots of -64i. Answer in exact form.

Accepted Answer

The answer of Use the nth roots theorem to find...

Question 2

Use the following to answer questions :
v =  
-Compute the magnitude of the vector exactly.

Accepted Answer

The answer of Use the following to answer questions :
v...

Question 3

Find a unit vector pointing in the same direction as the vector v =   .

Accepted Answer

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

Question 4

Use the following to answer questions :
v =  
-Find the acute angle $\theta$ formed by the vector and the nearest x-axis. Round to the nearest tenth of a degree.

Accepted Answer

The answer of Use the following to answer questions :
v...

Question 5

Solve using the law of cosines (if possible). Round to tenths.
side a = 153 yd
side b = 168 yd
side c = 103 yd

Accepted Answer

A = 63.5°

Question 6

The force vectors F1 =   and F2 =   are acting on a common point P. Find an additional force vector so that equilibrium takes place.

Accepted Answer

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

Question 7

Convert the complex number to rectangular form.

Accepted Answer

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

Question 8

Use the following to answer questions :
u =   ; v =  
-Compute u - 5v.

Accepted Answer

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

Question 9

Use the following to answer questions :
u = -2i + j; v = 4i + 3j
-Compute u + v.

Accepted Answer

A)  i + j 
B)  9i - 7j 
C)  9i - 6j 
D)  8i - 7j 
A)  i + j 
B)  9i - 7j 
C)  9i - 6j 
D)  8i - 7j

Question 10

Use the following to answer questions :
v =  
-Graph the vector.

Accepted Answer

The answer of Use the following to answer questions :
v...

Question 11

Use the following to answer questions :
u = -2i + j; v = 4i + 3j
-Compute u - v.

Accepted Answer

A)  -8i + 4j 
B)  8i - 4j 
C)  -10i + 2j 
D)  0i + 8j 
A)  -8i + 4j 
B)  8i - 4j 
C)  -10i + 2j 
D)  0i + 8j

Question 12

Solve using the nth roots theorem. Approximate answers to four decimal places.
x5 - 1024 = 0

Accepted Answer

4, 1.2361 + 3.8042i,

Question 13

Use the following to answer questions :
In   $\angle$A = 60°, and side c = 26 ft.
-Assuming that side c is the longest side, what length for side a will produce a right triangle?

Accepted Answer

A)  11 ft 
B)    ft 
C)    ft 
D)  44 ft 
A)  11 ft 
B)    ft 
C)    ft 
D)  44 ft

Question 14

Use the following to answer questions :
A radar ship is 25.0 miles off shore from a major port when a large fleet of ships leaves the port at the 40.0° angle shown.  
-If the maximum range of the ship's radar is 16.0 miles, will the departing fleet be detected?

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 15

Solve the triangle using the law of sines. If the law of sines cannot be used, state why. Round sides to the nearest tenth.

Accepted Answer

The answer of Solve the triangle using the law of...

Question 16

Use the following to answer questions :
A projectile is launched from a catapult with initial velocity 350 feet/sec at an angle of 65°.
-Find the position of the object after 4 seconds. Round to the nearest hundredth.

Accepted Answer

A)  projectile is about 591.67 ft away and 1268.83 ft high. 
B)  projectile is about 591.67 ft away and 1012.83 ft high. 
C)  projectile is about 147.92 ft away and 1268.83 ft high. 
D)  projectile is about 147.92 ft away and 1012.83 ft high. 
A)  projectile is about 591.67 ft away and 1268.83 ft high. 
B)  projectile is about 591.67 ft away and 1012.83 ft high. 
C)  projectile is about 147.92 ft away and 1268.83 ft high. 
D)  projectile is about 147.92 ft away and 1012.83 ft high.

Question 17

Solve using the law of sines and a scaled drawing. Round to the nearest tenth. If two triangles exist, solve both completely. side b = 20.0 mi
$\angle$B = 51°
Side a = 21.6 mi

Accepted Answer

A)  A $\approx$ 57.1°, C $\approx$ 71.9°
C $\approx$24.5 mi 
B)  A $\approx$122.9° C $\approx$ 6.1°
C $\approx$ 2.7 mi 
C)  A $\approx$ 57.1° C $\approx$ 71.9°
C $\approx$24.5 mi
Or
A $\approx$ 122.9°
C $\approx$6.1°
C $\approx$ 2.7 mi 
D)  not possible 
A)  A $\approx$ 57.1°, C $\approx$ 71.9°
C $\approx$24.5 mi 
B)  A $\approx$122.9° C $\approx$ 6.1°
C $\approx$ 2.7 mi 
C)  A $\approx$ 57.1° C $\approx$ 71.9°
C $\approx$24.5 mi
Or
A $\approx$ 122.9°
C $\approx$6.1°
C $\approx$ 2.7 mi 
D)  not possible

Question 18

Use De Moivre's Theorem to determine whether z =   is a solution to z4 + 4z2 + 16 = 0.

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 19

Find the amount of work required to move an object along the entire length of v with force F. Assume force is in pounds and distance is in feet.
F =   ; v =

Accepted Answer

The answer of Find the amount of work required to...

Question 20

Vector v1 is a geometric vector representing a car traveling at 15 mph. Vectors v2, v3, and v4 are vectors representing cars traveling at 10 mph, 20 mph, and 5 mph respectively. Draw these vectors given that v4 is traveling the same direction and parallel to v1, while v2 and v3 are traveling in the opposite direction and parallel to v1.

Accepted Answer

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

Use the nth roots theorem to find the three cube roots of -64i. Answer in exact form.

Use the following to answer questions : v = -Compute the magnitude of the vector exactly.

Find a unit vector pointing in the same direction as the vector v = .

Solve using the law of cosines (if possible). Round to tenths. side a = 153 yd side b = 168 yd side c = 103 yd

The force vectors F₁ = and F₂ = are acting on a common point P. Find an additional force vector so that equilibrium takes place.

Convert the complex number to rectangular form.

Use the following to answer questions : u = ; v = -Compute u - 5v.

Use the following to answer questions : u = -2i + j; v = 4i + 3j -Compute u + v.

Use the following to answer questions : v = -Graph the vector.

Use the following to answer questions : u = -2i + j; v = 4i + 3j -Compute u - v.

Solve using the nth roots theorem. Approximate answers to four decimal places. x⁵ - 1024 = 0

Use the following to answer questions : A radar ship is 25.0 miles off shore from a major port when a large fleet of ships leaves the port at the 40.0° angle shown. -If the maximum range of the ship's radar is 16.0 miles, will the departing fleet be detected?

Solve the triangle using the law of sines. If the law of sines cannot be used, state why. Round sides to the nearest tenth.

Use the following to answer questions : A projectile is launched from a catapult with initial velocity 350 feet/sec at an angle of 65°. -Find the position of the object after 4 seconds. Round to the nearest hundredth.

Solve using the law of sines and a scaled drawing. Round to the nearest tenth. If two triangles exist, solve both completely. side b = 20.0 mi $\angle$ B = 51° Side a = 21.6 mi

Use De Moivre's Theorem to determine whether z = is a solution to z⁴ + 4z² + 16 = 0.

Find the amount of work required to move an object along the entire length of v with force F. Assume force is in pounds and distance is in feet. F = ; v =

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

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Exam 7: Applications of Trigonometry

Use the nth roots theorem to find the three cube roots of -64i. Answer in exact form.

Use the following to answer questions : v = -Compute the magnitude of the vector exactly.

Find a unit vector pointing in the same direction as the vector v = .

Use the following to answer questions : v = -Find the acute angle θ\thetaθ formed by the vector and the nearest x-axis. Round to the nearest tenth of a degree.

Solve using the law of cosines (if possible). Round to tenths. side a = 153 yd side b = 168 yd side c = 103 yd

The force vectors F1 = and F2 = are acting on a common point P. Find an additional force vector so that equilibrium takes place.

Convert the complex number to rectangular form.

Use the following to answer questions : u = ; v = -Compute u - 5v.

Use the following to answer questions : u = -2i + j; v = 4i + 3j -Compute u + v.

Use the following to answer questions : v = -Graph the vector.

Use the following to answer questions : u = -2i + j; v = 4i + 3j -Compute u - v.

Solve using the nth roots theorem. Approximate answers to four decimal places. x5 - 1024 = 0

Use the following to answer questions : In ∠\angle∠ A = 60°, and side c = 26 ft. -Assuming that side c is the longest side, what length for side a will produce a right triangle?

Use the following to answer questions : A radar ship is 25.0 miles off shore from a major port when a large fleet of ships leaves the port at the 40.0° angle shown. -If the maximum range of the ship's radar is 16.0 miles, will the departing fleet be detected?

Solve the triangle using the law of sines. If the law of sines cannot be used, state why. Round sides to the nearest tenth.

Use the following to answer questions : A projectile is launched from a catapult with initial velocity 350 feet/sec at an angle of 65°. -Find the position of the object after 4 seconds. Round to the nearest hundredth.

Solve using the law of sines and a scaled drawing. Round to the nearest tenth. If two triangles exist, solve both completely. side b = 20.0 mi ∠\angle∠ B = 51° Side a = 21.6 mi

Use De Moivre's Theorem to determine whether z = is a solution to z4 + 4z2 + 16 = 0.

Find the amount of work required to move an object along the entire length of v with force F. Assume force is in pounds and distance is in feet. F = ; v =

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

The force vectors F₁ = and F₂ = are acting on a common point P. Find an additional force vector so that equilibrium takes place.

Solve using the nth roots theorem. Approximate answers to four decimal places. x⁵ - 1024 = 0

Solve using the law of sines and a scaled drawing. Round to the nearest tenth. If two triangles exist, solve both completely. side b = 20.0 mi $\angle$ B = 51° Side a = 21.6 mi

Use De Moivre's Theorem to determine whether z = is a solution to z⁴ + 4z² + 16 = 0.