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

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Express the complex number in polar form. Express the complex number in polar form. A) B) C) D)


A) Express the complex number in polar form. A) B) C) D)
B) Express the complex number in polar form. A) B) C) D)
C) Express the complex number in polar form. A) B) C) D)
D) Express the complex number in polar form. A) B) C) D)

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

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Graph the equation. Graph the equation.

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Find all nth roots of z. Write answers in polar form and plot roots in complex plane. Find all nth roots of z. Write answers in polar form and plot roots in complex plane.

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Graph the complex number. Graph the complex number. A) B) C) D)


A) Graph the complex number. A) B) C) D)
B) Graph the complex number. A) B) C) D)
C) Graph the complex number. A) B) C) D)
D) Graph the complex number. A) B) C) D)

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

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Graph the complex number in the complex plane. 8 + 8i

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Find the quotient, Find the quotient, in rectangular form. and in rectangular form. Find the quotient, in rectangular form. and and Find the quotient, in rectangular form. and

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Find the magnitude and direction angle of the vector u. U = <-4, 1>


A) Find the magnitude and direction angle of the vector u. U = <-4, 1> A) B) C) D)
B) Find the magnitude and direction angle of the vector u. U = <-4, 1> A) B) C) D)
C) Find the magnitude and direction angle of the vector u. U = <-4, 1> A) B) C) D)
D) Find the magnitude and direction angle of the vector u. U = <-4, 1> A) B) C) D)

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

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Express the complex number in polar form. 3 + 0 i

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A force of 613 pounds is acting on an object at an angle of 80 degrees from the horizontal. Another force of 374 pounds is acting at an angle -29 degrees from the horizontal. What is the angle of the resultant force with respect to the force 374 pounds? Round to one decimal place.

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Find all nth roots of z. Write answers in polar form. Find all nth roots of z. Write answers in polar form. A) B) C) D)


A) Find all nth roots of z. Write answers in polar form. A) B) C) D)
B) Find all nth roots of z. Write answers in polar form. A) B) C) D)
C) Find all nth roots of z. Write answers in polar form. A) B) C) D)
D) Find all nth roots of z. Write answers in polar form. A) B) C) D)

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

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Find the product, z1z2 in rectangular form. z1 = 3 [ cos 225° + i sin 225° ] and z2 = 16 [ cos 15° + i sin 15° ]

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Convert the point to exact polar coordinates. Assume 0 ≤\leθ\theta ≤\le 2 π\pi . Convert the point to exact polar coordinates. Assume 0 \le\theta \le 2 \pi . A) (4, 3 \pi /2) B) (3 \pi /2, 4) C) (-4, 3 \pi /2) D) (16, \pi )


A) (4, 3 π\pi /2)
B) (3 π\pi /2, 4)
C) (-4, 3 π\pi /2)
D) (16, π\pi )

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

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Find the magnitude of the vector AB. A = (15, 45) and B = (75, 56)


A) 61
B) 135
C) 71
D) 191

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

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How much work does it take to lift 239 pounds vertically 1.1 feet?


A) 262.9 ft lbs
B) 26.3 ft lbs.
C) 2,629 ft lbs.
D) 217.3 ft lbs.

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

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Convert the point to exact rectangular coordinates. Convert the point to exact rectangular coordinates. A) B) C) D)


A) Convert the point to exact rectangular coordinates. A) B) C) D)
B) Convert the point to exact rectangular coordinates. A) B) C) D)
C) Convert the point to exact rectangular coordinates. A) B) C) D)
D) Convert the point to exact rectangular coordinates. A) B) C) D)

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

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Find the product, z1z2 in rectangular form. Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and and Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and

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Find the magnitude and direction angle of the vector u. u = <-3, 4>

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Perform the indicated vector operation given u = < 15, 16 > and v = < -3, 17 >. Perform the indicated vector operation given u = < 15, 16 > and v = < -3, 17 >.

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Graph the equation. R2 = cos 5 θ\theta


A) Graph the equation. R<sup>2</sup> = cos 5 \theta A) B) C) D)
B) Graph the equation. R<sup>2</sup> = cos 5 \theta A) B) C) D)
C) Graph the equation. R<sup>2</sup> = cos 5 \theta A) B) C) D)
D) Graph the equation. R<sup>2</sup> = cos 5 \theta A) B) C) D)

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

Correct Answer

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