Vector a is expressed in magnitude and direction form as a =(√30, 110°). What is the component form a? Enter your answer, rounded to the nearest hundredth, by filling in the boxes. a = ( 10

Q: Direction: Simplify the following expressions. 1. If z = 3+ 9i, determine z5.

A: Given z = 3+9i Then  use the formula, we get (a+b)n = an+C1nan-1b + C2nan-2b2+ ... + Cnnbn

Q: ylinder radius = 19 cm and height = 31 cm. Use your calculator’s pi button and round answers to two…

A: Given: Cylinder radius = 19 cm and height = 31 cm.

Q: Select the representations that do not change the location of the point (3,110°). a. (- 3,290°) b.…

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Q: Find all of the roots in rectangular coordinates for the below equation. Indicate the principal…

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Q: The longer leg of a 30°-60°-90° triangle is 16/3. How long is the shorter leg

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Q: Determine the imaginary part

A: In this question, we have to find the imaginary part of the given complex number.

Q: What is the value of t in terms r, s, and u In the equation

A: The solution is easy to see

Q: Write z =- 1 + i in trigonometric form.

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Q: The wave equation of physics is the partial differential equation o'y d²y at² əx² Where c is a…

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Q: Kelsey boards one of the outer horses of a carousel that has a 32 ft diameter. She represents her…

A: We have to (a) Find the coordinates​ (x,y) of​ Kelsey's horse when the ride stopped. (b) How far…

Q: plot 2 -30° and find -2 cartesian coordinotes

A: We can use the concept of co-ordinate system in order to solve the given problem.

Q: Solve # 40 by completing the square and using trigonometric substitution.

A: Given an integral,

Q: Which one of the following is a solution of the equation: 5-2sinx=6 a. pi/4  b. 19pi/6 c. 5pi/6…

A: Our Aim is to find the solution of the equation given below:- 5-2 sin(x) = 6 -(i)

Q: Write r = 9 sin 0 as an equation in rectangular form.

A: We will use the formulas:1) r2=x2+y22) x=r·cosθ3) y=r·sinθ

Q: Calculate (– 3 + 2i)° . Give your answer in a + bi form.

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Q: Use the square to answer the following questions. DC=8.5 and DW=6 Refer to example 3A – H for help.…

A: We have to find the asked lengths and asked angles of the given square.

Q: Convert 12r=cosec(theta) into a rectangular equation.

A: Converting from Polar Coordinates to Rectangular Coordinates Given the polar coordinate (r,θ),…