The value of ( 3 + i ) 7 in standard form by using De Moivre’s Theorem.

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Answer 1

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

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1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)

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Answer 2

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Answer 6

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

Answer 7

Chapter 7.3, Problem 3E

(a)

To determine

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

Answer 8

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

Answer 9

(b)

To determine

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

Answer 10

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

Answer 11

(c)

To determine

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

Answer 12

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

Answer 13

(d)

To determine

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

Answer 14

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

Answer 15

(e)

To determine

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

Answer 16

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

Answer 17

(f)

To determine

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

Answer 18

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

Answer 19

(g)

To determine

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

Answer 20

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Answer 21

(h)

To determine

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

Answer 22

Expert Solution & Answer

Answer 23

Expert Solution & Answer

Answer 24

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Answer 25

The value of ( 3 + i ) 7 in standard form by using De Moivre’s Theorem.

Solution Summary: The author explains De Moivre's Theorem to determine the value of (sqrt3+i)7 in standard form.

The value of (3+i)7 in standard form by using De Moivre’s Theorem.

The value of (32+12i)21 in standard form by using De Moivre’s Theorem.

The value of (− 3+i)10 in standard form by using De Moivre’s Theorem.

The value of ( 32−12i)18 in standard form by using De Moivre’s Theorem.

The value of ( −12+32i)18 in standard form by using De Moivre’s Theorem.

The value of ( 2+2i)9 in standard form by using De Moivre’s Theorem.

The value of (1− 3 i)8 in standard form by using De Moivre’s Theorem.

The value of ( −12+32i)12 in standard form by using De Moivre’s Theorem.

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Chapter 7 Solutions