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

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Plot the point Plot the point in a polar coordinate system. in a polar coordinate system.

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Graph the equation. Graph the equation. A) B) C) D)


A) Graph the equation. A) B) C) D)
B) Graph the equation. A) B) C) D)
C) Graph the equation. A) B) C) D)
D) Graph the equation. A) B) C) D)

E) None of the above
F) A) and C)

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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) None of the above
F) C) and D)

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Convert the point to exact rectangular coordinates. Convert the point to exact rectangular coordinates.

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Find the dot product. < -15u , -27v > · < 11v , 2u >


A) -219 uv
B) -111 uv
C) -30 u2 -297 v2
D) -30 u2 -219 uv -297 v2

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

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Find the quotient, Find the quotient, In rectangular form. and A) B) C) D) In rectangular form. Find the quotient, In rectangular form. and A) B) C) D) and Find the quotient, In rectangular form. and A) B) C) D)


A) Find the quotient, In rectangular form. and A) B) C) D)
B) Find the quotient, In rectangular form. and A) B) C) D)
C) Find the quotient, In rectangular form. and A) B) C) D)
D) Find the quotient, In rectangular form. and A) B) C) D)

E) All of the above
F) A) and D)

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Find the dot product. < 30, 34 > · < -37, 23 >


A) -328
B) -1,892
C) -896
D) 50

E) All of the above
F) B) and C)

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

Correct Answer

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A force with a magnitude of 1055 pounds and another with a magnitude of 435 pounds are acting on an object. The two forces have an angle of 81 degrees between them. What is the magnitude of the resultant force? Round to the nearest pound.


A) 1202 pounds
B) 1445833 pounds
C) 1076 pounds
D) -inf pounds

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

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Find the magnitude and direction angle of the vector u. u = (4, 1)

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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.

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Determine if the vectors are orthogonal. < 4.6, 0.5 > and < -5.3, 48.76 >

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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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Find the magnitude and direction angle of the vector u. U = <-7, -1>


A) Find the magnitude and direction angle of the vector u. U = <-7, -1> A) B) C) D)
B) Find the magnitude and direction angle of the vector u. U = <-7, -1> A) B) C) D)
C) Find the magnitude and direction angle of the vector u. U = <-7, -1> A) B) C) D)
D) Find the magnitude and direction angle of the vector u. U = <-7, -1> A) B) C) D)

E) All of the above
F) A) and B)

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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.

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Find the magnitude of the vector AB. A = (-3, 59) and B = (-2, 66)

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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 A) B) C) D) and Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)


A) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)
B) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)
C) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)
D) Find the product, z<sub>1</sub>z<sub>2</sub> in rectangular form. and A) B) C) D)

E) All of the above
F) A) and B)

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How much work is done by a crane to lift a 3 ton car to a level of 38 feet?

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