Exam 8: Polar Coordinates; Vectors

arrow
  • Select Tags
search iconSearch Question
flashcardsStudy Flashcards
  • Select Tags

Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary. - 3i\sqrt { 3 } - i

(Multiple Choice)
4.7/5
(34)

Find all the complex roots. Leave your answers in polar form with the argument in degrees. -The complex cube roots of 8i- 8 \mathrm { i }

(Multiple Choice)
4.8/5
(32)

Choose the one alternative that best completes the statement or answers the question. The polar coordinates of a point are given. Find the rectangular coordinates of the point. - (5,4π3)\left( 5 , - \frac { 4 \pi } { 3 } \right)

(Multiple Choice)
4.8/5
(25)

Plot the point given in polar coordinates. - (2,9π4)\left( - 2 , \frac { 9 \pi } { 4 } \right)  Plot the point given in polar coordinates. - \left( - 2 , \frac { 9 \pi } { 4 } \right)

(Multiple Choice)
4.8/5
(37)

Use the vectors in the figure below to graph the following vector.  Use the vectors in the figure below to graph the following vector.   - 3 w     - 3w3 w  Use the vectors in the figure below to graph the following vector.   - 3 w

(Multiple Choice)
4.9/5
(31)

Plot the point given in polar coordinates. - (2,00)\left( 2,0 ^ { 0 } \right)  Plot the point given in polar coordinates. - \left( 2,0 ^ { 0 } \right)

(Multiple Choice)
4.9/5
(42)

Solve the problem. Leave your answer in polar form. - z=10(cos30+isin30)z = 10 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) w=5(cos10+isin10)w = 5 \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right) Find zwz w .

(Multiple Choice)
4.9/5
(32)

Find the position vector for the vector having initial point P and terminal point Q. - P=(4,2,2) and Q=(4,1,2)\mathrm { P } = ( 4,2,2 ) \text { and } \mathrm { Q } = ( - 4 , - 1 , - 2 )

(Multiple Choice)
4.9/5
(36)

Plot the point given in polar coordinates. - (2,π4)\left(2,-\frac{\pi}{4}\right)  Plot the point given in polar coordinates. - \left(2,-\frac{\pi}{4}\right)

(Multiple Choice)
4.7/5
(36)

Test the equation for symmetry with respect to the given axis, line, or pole. - r=4cosθ\mathrm { r } = - 4 \cos \theta ; the polar axis

(Multiple Choice)
5.0/5
(39)

Find the value of the determinant. - 12743\left| \begin{array} { c r } 12 & - 7 \\- 4 & 3\end{array} \right|

(Multiple Choice)
4.8/5
(38)

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -Find a unit vector normal to the plane containing u=i+3j5k and v=2ij+6k\mathbf { u } = - \mathbf { i } + 3 \mathbf { j } - 5 \mathbf { k } \text { and } \mathbf { v } = 2 \mathbf { i } - \mathbf { j } + 6 \mathbf { k }

(Essay)
4.8/5
(38)

Solve the problem. -An SUV weighing 4,400 pounds is parked on a street which has an incline of 15°. Find the force required to keep the SUV from rolling down the hill and the force of the SUV perpendicular to the hill. Round the forces to the Nearest hundredth.

(Multiple Choice)
4.9/5
(25)

Solve the problem. Round your answer to the nearest tenth. -Find the work done by a force of 200 pounds acting in the direction -i + 2j in moving an object 75 feet from (0, 0) to (-75, 0).

(Multiple Choice)
4.9/5
(33)

Choose the one alternative that best completes the statement or answers the question. -A tightrope walker located at a certain point deflects the rope as indicated in the figure. If the weight of the tightrope walker is 130 pounds, how much tension is in each part of the rope? Round your answers to the neares tenth. Choose the one alternative that best completes the statement or answers the question. -A tightrope walker located at a certain point deflects the rope as indicated in the figure. If the weight of the tightrope walker is 130 pounds, how much tension is in each part of the rope? Round your answers to the neares tenth.

(Multiple Choice)
4.8/5
(30)

Find the area of the parallelogram. - P1(0,0,0),P2(2,4,1),P3(1,2,1)\mathrm { P } _ { 1 } ( 0,0,0 ) , \mathrm { P } _ { 2 } ( 2 , - 4,1 ) , \mathrm { P } _ { 3 } ( - 1,2 , - 1 )

(Multiple Choice)
4.9/5
(34)

Solve the problem. Leave your answer in polar form. - z=10 3+i3 w=5 1+i1 Find zw\frac { z } { w } .

(Multiple Choice)
4.8/5
(30)

Find the dot product v · w. - v=12i15j,w=5i8j\mathbf { v } = - 12 \mathbf { i } - 15 \mathbf { j } , \quad \mathbf { w } = - 5 \mathbf { i } - 8 \mathbf { j }

(Multiple Choice)
4.9/5
(38)

Find the position vector for the vector having initial point P and terminal point Q. - P=(1,1,0) and Q=(3,3,4)\mathrm { P } = ( - 1 , - 1,0 ) \text { and } \mathrm { Q } = ( - 3,3 , - 4 )

(Multiple Choice)
4.8/5
(39)

Graph the polar equation. - r=31cosθr = \frac { 3 } { 1 - \cos \theta }  Graph the polar equation. - r = \frac { 3 } { 1 - \cos \theta }

(Multiple Choice)
4.8/5
(32)
Showing 181 - 200 of 253
close modal

Filters

  • Essay(0)
  • Multiple Choice(0)
  • Short Answer(0)
  • True False(0)
  • Matching(0)