Question 1

Express the complex number in polar form.

Accepted Answer

The answer of Express the complex number in polar form.
...

Question 2

Find the quotient,
 
In rectangular form.
Z1 = 208 [ cos 87° + i sin 87° ] and z2 = 8 [ cos 27° + i sin 27° ]

Accepted Answer

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

Question 3

A sliding door is closed by pulling a cord with a constant force of 16 pounds at a constant angle of 20°. The door is moved 1 foot to close it. How much work is done? Round to one decimal place.

Accepted Answer

The answer of A sliding door is closed by pulling...

Question 4

Force A, at 260 pounds, and force B, at 710 pounds, make an angle of 95° with each other. Represent their respective vectors as complex numbers written in trigonometric form and solve for the resultant force to one decimal place.

Accepted Answer

A)  Trigonometric form: 260(cos 0° + i sin 0°) + 710(cos 95° + i sin 95°) 
B)  Trigonometric form: 710(cos 0° + i sin 0°) + 260(cos 95° + i sin 95°)Resultant force: 734.5 pounds 
C)  Trigonometric form: 260(cos 95° + i sin 95°) + 710(cos 95° + i sin 95°)Resultant force: 734.5 pounds 
D)  Resultant force: 734.5 pounds 
A)  Trigonometric form: 260(cos 0° + i sin 0°) + 710(cos 95° + i sin 95°) 
B)  Trigonometric form: 710(cos 0° + i sin 0°) + 260(cos 95° + i sin 95°)Resultant force: 734.5 pounds 
C)  Trigonometric form: 260(cos 95° + i sin 95°) + 710(cos 95° + i sin 95°)Resultant force: 734.5 pounds 
D)  Resultant force: 734.5 pounds

Question 5

Use a calculator to express the complex number in rectangular form. Round to four decimal places.
3(cos 244° + i sin 244°)

Accepted Answer

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

Question 6

Express the complex number in polar form.

Accepted Answer

The answer of Express the complex number in polar form.
...

Question 7

Express the vector in terms of unit vectors i and j.

Accepted Answer

The answer of Express the vector in terms of unit...

Question 8

Find the dot product.
 ·

Accepted Answer

The answer of Find the dot product.
 · ...

Question 9

Find the magnitude of the vector AB.
A = (27, 31) and B = (35, 33)

Accepted Answer

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

Question 10

Perform the indicated vector operation

Accepted Answer

The answer of Perform the indicated vector operation
  ...

Question 11

A sliding door is closed by pulling a cord with a constant force of 37 pounds at a constant angle of 16°. The door is moved 1.5 feet to close it. How much work is done? Round to one decimal place.

Accepted Answer

A)  53.4 ft lbs. 
B)  15.3 ft lbs. 
C)  15.9 ft lbs. 
D)  25.7 ft lbs. 
A)  53.4 ft lbs. 
B)  15.3 ft lbs. 
C)  15.9 ft lbs. 
D)  25.7 ft lbs.

Question 12

Convert the point to exact rectangular coordinates.

Accepted Answer

The answer of Convert the point to exact rectangular coordinates.
...

Question 13

Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.

Accepted Answer

The answer of Find the result of the expression using...

Question 14

Find the quotient,
 
In rectangular form.
  and

Accepted Answer

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

Question 15

Express the vector in terms of unit vectors i and j.

Accepted Answer

The answer of Express the vector in terms of unit...

Question 16

Find all complex solutions to the equation.Write answers in rectangular form.

Accepted Answer

The answer of Find all complex solutions to the equation.Write...

Question 17

Find the quotient,
 
In rectangular form.
  and

Accepted Answer

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

Question 18

A plane has a heading of 11° and an airspeed of 530 mph. The wind is blowing at 45 mph from 101°. What are its actual heading and airspeed? Round to one decimal place.

Accepted Answer

The answer of A plane has a heading of 11°...

Question 19

Find the product, z1z2 in rectangular form.
Z1 = 7 [ cos 61° + i sin 61° ] and z2 = 6 [ cos 74° + i sin 74° ]

Accepted Answer

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

Question 20

Find the product, z1z2 in rectangular form.
Z1 = 10 [ cos 306° + i sin 306° ] and z2 = 18 [ cos 24° + i sin 24° ]

Accepted Answer

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

Express the complex number in polar form.

Find the quotient, In rectangular form. Z₁ = 208 [ cos 87° + i sin 87° ] and z₂ = 8 [ cos 27° + i sin 27° ]

A sliding door is closed by pulling a cord with a constant force of 16 pounds at a constant angle of 20°. The door is moved 1 foot to close it. How much work is done? Round to one decimal place.

Force A, at 260 pounds, and force B, at 710 pounds, make an angle of 95° with each other. Represent their respective vectors as complex numbers written in trigonometric form and solve for the resultant force to one decimal place.

Use a calculator to express the complex number in rectangular form. Round to four decimal places. 3(cos 244° + i sin 244°)

Express the complex number in polar form.

Express the vector in terms of unit vectors i and j.

Find the dot product. < 3u , -20v > · < 24v , -18u >

Find the magnitude of the vector AB. A = (27, 31) and B = (35, 33)

Perform the indicated vector operation

A sliding door is closed by pulling a cord with a constant force of 37 pounds at a constant angle of 16°. The door is moved 1.5 feet to close it. How much work is done? Round to one decimal place.

Convert the point to exact rectangular coordinates.

Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.

Find the quotient, In rectangular form. and

Express the vector in terms of unit vectors i and j. < 20, 12 >

Find all complex solutions to the equation.Write answers in rectangular form.

Find the quotient, In rectangular form. and

A plane has a heading of 11° and an airspeed of 530 mph. The wind is blowing at 45 mph from 101°. What are its actual heading and airspeed? Round to one decimal place.

Find the product, z₁z₂ in rectangular form. Z₁ = 7 [ cos 61° + i sin 61° ] and z₂ = 6 [ cos 74° + i sin 74° ]

Find the product, z₁z₂ in rectangular form. Z₁ = 10 [ cos 306° + i sin 306° ] and z₂ = 18 [ cos 24° + i sin 24° ]

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 7: Vectors, the Complex Plane, and Polar Coordinates

Express the complex number in polar form.

Find the quotient, In rectangular form. Z1 = 208 [ cos 87° + i sin 87° ] and z2 = 8 [ cos 27° + i sin 27° ]

A sliding door is closed by pulling a cord with a constant force of 16 pounds at a constant angle of 20°. The door is moved 1 foot to close it. How much work is done? Round to one decimal place.

Force A, at 260 pounds, and force B, at 710 pounds, make an angle of 95° with each other. Represent their respective vectors as complex numbers written in trigonometric form and solve for the resultant force to one decimal place.

Use a calculator to express the complex number in rectangular form. Round to four decimal places. 3(cos 244° + i sin 244°)

Express the complex number in polar form.

Express the vector in terms of unit vectors i and j.

Find the dot product. < 3u , -20v > · < 24v , -18u >

Find the magnitude of the vector AB. A = (27, 31) and B = (35, 33)

Perform the indicated vector operation

A sliding door is closed by pulling a cord with a constant force of 37 pounds at a constant angle of 16°. The door is moved 1.5 feet to close it. How much work is done? Round to one decimal place.

Convert the point to exact rectangular coordinates.

Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.

Find the quotient, In rectangular form. and

Express the vector in terms of unit vectors i and j. < 20, 12 >

Find all complex solutions to the equation.Write answers in rectangular form.

Find the quotient, In rectangular form. and

A plane has a heading of 11° and an airspeed of 530 mph. The wind is blowing at 45 mph from 101°. What are its actual heading and airspeed? Round to one decimal place.

Find the product, z1z2 in rectangular form. Z1 = 7 [ cos 61° + i sin 61° ] and z2 = 6 [ cos 74° + i sin 74° ]

Find the product, z1z2 in rectangular form. Z1 = 10 [ cos 306° + i sin 306° ] and z2 = 18 [ cos 24° + i sin 24° ]

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Find the quotient, In rectangular form. Z₁ = 208 [ cos 87° + i sin 87° ] and z₂ = 8 [ cos 27° + i sin 27° ]

Find the product, z₁z₂ in rectangular form. Z₁ = 7 [ cos 61° + i sin 61° ] and z₂ = 6 [ cos 74° + i sin 74° ]

Find the product, z₁z₂ in rectangular form. Z₁ = 10 [ cos 306° + i sin 306° ] and z₂ = 18 [ cos 24° + i sin 24° ]