Use de Moivre's Theorem to find the following expression. Write your answer in standard form.   (2+2i)^6

Q: By writing the individual factors on the left in exponential form, performing the needed operations,…

A: Rectangular form to exponential form:  z=a+ib ------------------------------------------------------…

Q: Perform the indicated operations and write the result in standard form : 3i(2 + i)

A: We first distribute 3i

Q: Find the product and write the result in standard form: (2 + 3i)2

A: We have given the expression; (2 + 3i)2

Q: Solve the following equation for b. 1 A= b°c b = (Type an exact answer, using radicals as needed.…

A:

Q: Divide (3 - 4i)/(4 + 3i) and express the result in standard form.

A: Multiply by the conjugate of the denominator

Q: I. Solve using De Moivre's Theorem. Find the 2 square roots of 3 – 8i

A:

Q: Factor each expression completely.   a. 2x2 +3x +1b. 2 sin2 u + 3 sin theta +1

A: Given expressions are, a. 2x2 +3x +1b. 2 sin2 u + 3 sin theta +1

Q: Use the special right triangle formulas to find the value of x. 11 30°

A: Given data :  Angle = 30∘

Q: Perform the indicated operations and write the result in standard form. (3 + 4i)/(4 - 2i)

A:

Q: 18. Simplify: i9 + j21 + j2050 in form a + bi.

A: Complex number a+ib form

Q: Find the product. (3+4i)(3– 4i)

A: Given, To evaluate (3+4i)(3-4i)

Q: . Evaluate (3 + 4i) and write the answer in standard form, a + bi.

A: Given : We have given the expression  (3+4i)2 To find:  given expression in the form of a + bi…

Q: Use the law of cosines to determine the length x in each figure when a = 6 cm and b = 16 cm. Leave…

A: Law of cosines  a2=b2+c2−2bc⋅cosAb2=a2+c2−2ac⋅cosBc2=a2+b2−2ab⋅cosC

Q: a) Show that x² – 5x – 14 = 0. x + 5 2x - 1 x - 2 b) Find the value of x and calculate the area of…

A: a) from figure by Pythagoras theorem (2x-1)2 = (x - 2)2 + (x+5)2 Simplify 4x2 – 4x + 1= x2 + 4 -4x +…

Q: Perform the operation and write the result in standard form.12i(1 − 9i)

A: The sum of an imaginary number and real numbers equals a complex number . The standard of the…

Q: Calculate (1 – 3i)° . Give your answer in a + bi form.

A: 1-3i8=1-3i24 1-3i8=12-2x3ix1+9i24 1-3i8=1+9-6i4 1-3i8=10-6i4 1-3i8=10-6i22 1-3i8=100+36-120i2…

Q: Using Microsoft Excel, find the positive root of the equation 4x = ex using Regula Falsi method and…

A: As per the information we solve this using excel Hence option A)0.3574 is correct

Q: Solve for the exact value of x. 6 In(7x + 6) – 14 = 10 - %3D Answer: Submit Answer

A:

Q: Perform the operation and write the result in standard form.

A: Perform the operation and write the result in standard form.                42-3i+21+i

Q: Determine the number of real roots for thsi equation -x squared -5x +14= 0

A: The equation has two real roots which are 2 and -7

Q: Find the product. (3 + 4i)(4 − i)

A:

Q: Use de Moivre's Theorem to find the following expression. Write your answer in standard form. 2cis…

A: We will solve the following.

Q: Find the roots. z^2 =1−2i z^4 =−2−5i

A: For solving an equation of the form z2=a+ib, where a+ibis known, we assume that z=x+iy to  get that…

Q: One of the roots of x^4 + 9x^3 + 48x^2 + 78x –136 = 0 is -3+5i. Find the other three roots. Using…

A:

Q: Find the two square roots of -9i.

A: The given complex number is z=-9i. Let -9i=x+iy. Square both sides and obtain that…

Q: M. Write sin 7x + sin 3x as a product.

A: Solve as a product form

Q: Use DeMoivre's Theorem to find the following. Write your answer in standard form. -8 – 8i3 8+8i -16…

A: Explanation of the answer is as follows

Q: Find the product and write the result in standard form. -3i(7i - 5)

A: We have to find the product of complex numbers and have to convert in standard form: -3i7i-5 We know…

Q: Perform the indicated operations and write the result in standard form : (3 - 4i)2

A: i=-1i2=-1

Q: Use de Moivre's Theorem to find the following. Write your answer in standard form. (−2√3+2i)4

A:

Q: Use de Moivre's formula to evaluate (-2 + 2i)1º. Express your answer in standard form or, in a + bi…

A: De Moivre's Formula: For any positive integer n and complex number x=a+ib, the de Moivre's formula…

Q: Express the following in the form a + bi, where a and b are real numbers: 15+8i 00

A:

Q: Use De Moivre's Formula to find (1 + i)10. State the result in standard form.

A:

Q: Find the real component if the nth root of a + bi is determined for a = 9, b = 5, and n= 4. Round…

A: The given problem is to find the real component of the complex expression with given unknown…

Q: Divide and express the result in standard form: 2i/(1 + i)

A:

Q: Solve the equation. x + 4x+9 = 0 .... %3D (Use a comma to separate answers as needed. Type an exact…

A: We have to find

Q: Find the roots: x5 = 4i

A:

Q: find (1+2i)^5/3 write your final answer in a+bi form

A: We have to express in terms of a+bi.

Q: Write the product as a sum: 20 sin(17v)sin(15v) =

A: Write the formula of 2sinAsinB=cos(A-B)-cos(A+B). And solution is given below in the image.

Q: Find the product and write the result in standard form: (-5 + 4i)(3 + i)

A: The given expression is -5+4i3+i.

Q: Find the imaginary component if the nth root of  a + bi is determined for a = 9, b = 3, and n = 6.…

A:

Q: Evaluate the complex integral if a = 4, b = 7, c = 10475, n = 3, x = 3, and y = 4. Then, find the…

A:

Q: Perform the indicated operation (1 + i)(2 + 2i) and write the result in the standard form a + bi.

A: The given expression is (1 + i)(2 + 2i).

Q: Solve the following equation for x. In x2 = 3 X = (Type an exact answer. Use a comma to separate…

A: Given: ln x2=3 To Find: To solve for x.

Q: Use de Moivre's Theorem to find the following. Write your answer in standard form. (−2√3+2i)ˆ4

A:

Q: FIND : X³ + 8i= 0

A: Given: x3+8i=0To solve for x:

Q: V3 i, Za

A: Exponential form : z =reiθ where r is modulus and θ is argument . if z = a + ib  then , r = a2+b2…

Q: Solve the following equation for x. Let X= 2*. 2* - 40• 2 +256 = 0 X3= (Use a comma to separate…

A: Properties of exponent: 1) if am = an then m=n.

Q: Write the expression in rectangular form, x+yi, and in exponential form, re" 3x 3x cos +i sin 8

A: Consider             (6(cos(3π8+isin(3π8))4= (6)4ei43π8=1296 ei3π2 which is in  exponential form…

Q: c) By using De Moivre's theorem, find (3/5 – 3i) in the standard form.

A: To find complex no. in standard form using De Moivre's theorem .