Question 1

When you graph the five fifth roots of 
  
and connect the points, you form a pentagon. Find the roots and draw the pentagon.

Accepted Answer

The answer of When you graph the five fifth roots...

Question 2

Convert the point to exact rectangular coordinates.
(1,  $\pi$)

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Find all nth roots of z. Write answers in polar form.

Accepted Answer

The answer of Find all nth roots of z. Write...

Question 4

Find the angle (round to the nearest degree) between the vectors. < -2.4, -10 > and < 8.5, 10.2 >

Accepted Answer

The answer of Find the angle (round to the nearest...

Question 5

Force A, at 200 pounds, and force B, at 515 pounds, make an angle of 70° 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

The answer of Force A, at 200 pounds, and force...

Question 6

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

Accepted Answer

A)  -10 i + 16 j 
B)  16 i -10 j 
C)  19 
D)  10 i -16 j

Question 7

Find all nth roots of z. Write answers in polar form.

Accepted Answer

The answer of Find all nth roots of z. Write...

Question 8

Find all nth roots of z. Write answers in polar form.

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Find all nth roots of z. Write answers in polar form.

Accepted Answer

The answer of Find all nth roots of z. Write...

Question 10

Convert the point to exact polar coordinates. Assume 0 $\le$ $\theta$ $\le$ 2$\pi$.

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Express the complex number in rectangular form. 
-20(cos 60° + i sin 60°)

Accepted Answer

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

Question 12

A car that weighs 5000 lbs is parked on a hill in San Francisco with a slant of 27° from the horizontal. How much force will keep it from rolling down the hill? Round to the nearest integer.

Accepted Answer

A)  2,270 ft lbs. 
B)  4,455 ft lbs. 
C)  2,548 ft lbs. 
D)  11,013 ft lbs.

Question 13

Find the product, z1z2 in rectangular form.
Z1 = 8 [ cos 23° + i sin 23° ] and z2 = 4 [ cos 37° + i sin 37° ]

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Find the product, z1z2 in rectangular form.
 and

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Find the angle (round to the nearest degree) between the vectors. < 22, -27 > and < 20, -11 >

Accepted Answer

The answer of Find the angle (round to the nearest...

Question 16

Determine if the vectors are orthogonal.

Accepted Answer

The answer of Determine if the vectors are orthogonal.
 ...

Question 17

Graph the complex number.

Accepted Answer

The answer of Graph the complex number.
 ...

Question 18

Find a unit vector in the direction angle of the vector v.
v =

Accepted Answer

The answer of Find a unit vector in the direction...

Question 19

Use a calculator to express the complex number in polar form. Round angle to one decimal place and in degrees.

Accepted Answer

A)  15 a(cos 36.9° + i sin 36.9°) 
B)  15 a(cos 216.9°+ i sin 216.9°) 
C)  15 a(cos 143.1° + i sin 143.1°) 
D)  15 a(cos 323.1° + i sin 323.1°)

Question 20

Find all nth roots of z. Write answers in polar form.

Accepted Answer

A)   
B)   
C)   
D)

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

When you graph the five fifth roots of and connect the points, you form a pentagon. Find the roots and draw the pentagon.

Convert the point to exact rectangular coordinates. (1, $\pi$ )

Find all nth roots of z. Write answers in polar form.

Find the angle (round to the nearest degree) between the vectors. < -2.4, -10 > and < 8.5, 10.2 >

Force A, at 200 pounds, and force B, at 515 pounds, make an angle of 70° with each other. Represent their respective vectors as complex numbers written in trigonometric form and solve for the resultant force to one decimal place.

Express the vector in terms of unit vectors i and j. < -10, 16 >

Find all nth roots of z. Write answers in polar form.

Find all nth roots of z. Write answers in polar form.

Find all nth roots of z. Write answers in polar form.

Convert the point to exact polar coordinates. Assume 0 $\le$ $\theta$ $\le$ 2 $\pi$ . $Convert the point to exact polar coordinates. Assume 0 \le \theta \le 2 \pi . A) B) C) D)$

Express the complex number in rectangular form. -20(cos 60° + i sin 60°)

A car that weighs 5000 lbs is parked on a hill in San Francisco with a slant of 27°from the horizontal. How much force will keep it from rolling down the hill? Round to the nearest integer.

Find the product, z₁z₂ in rectangular form. Z₁ = 8 [ cos 23° + i sin 23° ] and z₂ = 4 [ cos 37° + i sin 37° ]

Find the product, z₁z₂ in rectangular form. and

Find the angle (round to the nearest degree) between the vectors. < 22, -27 > and < 20, -11 >

Determine if the vectors are orthogonal.

Graph the complex number.

Find a unit vector in the direction angle of the vector v. v =

Use a calculator to express the complex number in polar form. Round angle to one decimal place and in degrees.

Find all nth roots of z. Write answers in polar form.

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

When you graph the five fifth roots of and connect the points, you form a pentagon. Find the roots and draw the pentagon.

Convert the point to exact rectangular coordinates. (1, π\piπ )

Find all nth roots of z. Write answers in polar form.

Find the angle (round to the nearest degree) between the vectors. < -2.4, -10 > and < 8.5, 10.2 >

Force A, at 200 pounds, and force B, at 515 pounds, make an angle of 70° with each other. Represent their respective vectors as complex numbers written in trigonometric form and solve for the resultant force to one decimal place.

Express the vector in terms of unit vectors i and j. < -10, 16 >

Find all nth roots of z. Write answers in polar form.

Find all nth roots of z. Write answers in polar form.

Find all nth roots of z. Write answers in polar form.

Convert the point to exact polar coordinates. Assume 0 ≤\le≤ θ\thetaθ ≤\le≤ 2 π\piπ .

Express the complex number in rectangular form. -20(cos 60° + i sin 60°)

A car that weighs 5000 lbs is parked on a hill in San Francisco with a slant of 27° from the horizontal. How much force will keep it from rolling down the hill? Round to the nearest integer.

Find the product, z1z2 in rectangular form. Z1 = 8 [ cos 23° + i sin 23° ] and z2 = 4 [ cos 37° + i sin 37° ]

Find the product, z1z2 in rectangular form. and

Find the angle (round to the nearest degree) between the vectors. < 22, -27 > and < 20, -11 >

Determine if the vectors are orthogonal.

Graph the complex number.

Find a unit vector in the direction angle of the vector v. v =

Use a calculator to express the complex number in polar form. Round angle to one decimal place and in degrees.

Find all nth roots of z. Write answers in polar form.

Convert the point to exact rectangular coordinates. (1, $\pi$ )

Convert the point to exact polar coordinates. Assume 0 $\le$ $\theta$ $\le$ 2 $\pi$ . $Convert the point to exact polar coordinates. Assume 0 \le \theta \le 2 \pi . A) B) C) D)$

A car that weighs 5000 lbs is parked on a hill in San Francisco with a slant of 27°from the horizontal. How much force will keep it from rolling down the hill? Round to the nearest integer.

Find the product, z₁z₂ in rectangular form. Z₁ = 8 [ cos 23° + i sin 23° ] and z₂ = 4 [ cos 37° + i sin 37° ]

Find the product, z₁z₂ in rectangular form. and