Calculate the value of     a. 5 Π i=2 ( i2 − i )   b. 6 Π i=1 i-1 answer must be an exact rational number, NOT a decimal approximation

Q: Find the imaginary component if the nth root of a + bi is determined for a = 6.7, b = 8, and n = 3.…

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Q: Find, in its simplest form, the quadratic equation with the following pair of solutions: 3/5 ± 3i

A: Given: The solutions of the quadratic equations are 35±3i. To find: Quadratic equation having the…

Q: The number of bacteria in a certain culture was found to be 4 x 10° at noon of one day At noon the…

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Q: Find the real component if the nth root of a + bi is determined for a = 10, b = 8, and n = 5. Round…

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Q: 3. Solve for all solutions 2 cos?x 7cosx – 3

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Q: Why is it =10πr33? particularly, why is the value 33?

A: Let's solve.

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Q: Express the following in complex exponential form: √x - jy Where x = 1.53 and y = 2.48.

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Q: Find the 6 circular function exact values of 5π/4,

A: To find the six circular function having exact value at 5π4. Solution: The six circular functions…

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A: If  a=cos 2π7+isin2π7, then we have to find the quadratic equation whose roots are   α=a+a2+a4  and…

Q: A coroner arrives at a murder scene at 8 p.m. She finds the temperature of the body to be 88.6°F.…

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Q: [2√3 sen() dx

A: we have to evaluate ∫23sen(x7)dx

Q: ee2 +eezz where: Zį = 2 + 3i Z2 = 4 – 2i

A: Here we can use Euler's formula, which states that eix=cosx+isinxande-ix=cosx-isinx

Q: 1. (a) Find the roots of the equation 23 + 2 – 2/3i = 0.

A: Here we have to find the roots of z3+2-23i=0. For that consider z3+2-23i=0⇒z3=-2+23i. Finding the…

Q: number (1 – 2i) c.+ 2 C. =+=i d. 1+

A: 1. logi(2i)=logi(2)+logii=logi2+1This is the required simplest form.

Q: Use an addition or subtraction formula to find the exact value of cos(−π12)=√A(√B+1)4. A= B=

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Q: cos? + i (sin y cos y)- sin? a 0.866 + 0.5i COS

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Q: Calculate and then draw all the roots and hence find Principle root of the following expressions: a.…

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Q: find the solution to the equation 4 + 3tanΘ = 7

A: To find the solution of the equation

Q: Solve for the solution of the DE: y(4) – 8y"' + 24y" + 32y' + 16y = 0

A: The given differential equation is y(4)-8y'''+24y''+32y'+16y=0

Q: solve 5cos (2θ) = -3 over the reals

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Q: Use the formula d = √² +²2-2r₁ r₂ cos (0₂-0₁) to find the distance 3π between 4, 4 and 8, T

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Q: Find v. V = - 6i + 5j %3D В (Simplify your answer. Type an exact answer, using radicals a

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Q: Determine solutions for the equation 5sin2x + 2sinx = 0 in the interval x £[-2π, 2π] algebraically.…

A: Given equation is 5sin2x+2sinx=0        (1) Since  sin2x=2sinxcosx

Q: Solve the following using the correct order of operations. Please leave your final answer as a…

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