Perform the indicated operation and convert your final answer to polar form z = r(cos0 + isin®) 1.)® (3+5i) (3–2i)(6+4i)

Q: Let be the periodic function of period T = 2n t + t (-n <t < 0) f(t) = (0 <t < n) Draw the graph of ...

A: Given function with period 2π f(t)=t+π,    -π≤t&lt;00       ,     0≤t&lt;π Graph of function is    

Q: nich limit is equivalent to tan x dx? n-1 TIk lim E (tan(- 2n 2n n- o k = O

A: In this question, the integral is represented as a limit of a sum. ∫abfxdx=limn→∞ ∑k=0n-1 fxk·∆x

Q: Use the table of Laplace transforms to find the following Laplace transforms. Use s as your variable...

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Q: 8. y(t) + 4 y(7)(t – T) dr = 2t

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Q: Jenna bought some apples for $1.25 per pound and some avocados for $4 per pound. Altogether, she spe...

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Q: Solve integration for each of the following.

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Q: x1 - 12 + 3r3 3x1 – 3x2 + 13 2 -1 = 3

A: Introduction: There are many methods that are used to solve a system of linear equations by using ma...

Q: 9 centimeters is the same as how many inches? Hint: 1 cm 0.39 in Round your answer to the nearest te...

A: . 

Q: Theorem 4. Let X be a set, and let F: X Y be a l-1 and onto function. (a) F-lo F = Idx (b) FoF- = ld...

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Q: A company plans to purchase a new piece of equipment in 24 months. If $4938 is deposited into a savi...

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Q: Test the given argument for validity. d→r (bnc)→d anb r

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Q: e subgroups

A: Introduction: A nonempty subset H of a group G is a subgroup of G if and only if H is a group under ...

Q: Find the average rate of population growth between 2010 and 2015. The average rate of population gro...

A: Given that: Year population (millions) 2010 36.5 2011 37.7 2012 38.2 2013 38.4 2014 38....

Q: (5 + 2/3) 2 + 13 Without using a calculator, express in the form p + q/3 , where p and q are integer...

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Q: Question 2 (a) Let U be the set of the total number of students at a school, A be the set of student...

A: Brief answer is given below.

Q: g(x) V (x – 3)2 %3D

A: The domain of the function is defined as the set of all possible values of x for which the function ...

Q: Find the Laplace transform, F(s) of the function f(t) = e-ª, t > 0. F(s) - 2 00 Use the definition o...

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Q: The matrir [1 3 -1 A = 0 5 0 2 1 3 Solve the two systems of vector equations Ax = 0 and Ay = 2

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Q: As = 8 6 4 A," = 1/3 - 1/6 /2 4 2 2 2 4 4 - 1 - ½ 5/6 1/3

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Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2

A: Given: x3dy+xydx=x2dy+2ydx; y=e when x=2 To find: Solution of given differential equation.

Q: Solve the given differential equation by undetermined coefficients. y" – y' – 12y = e4x %3D y(x)

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Q: On Sandy's scale drawing of the school campus, 3 inches equals 12 yards. The distance between the sw...

A: Given that: Distance between the swings and the track = 15 inches on the drawing  Distance between t...

Q: The table below shows the speed-time change of an athlete in a 20-m period. The runner's speed is gi...

A: Given, I=∫020v·dt The integration is performed using the trapezoidal rule and Simpson Method.      

Q: Solve and check: 3x – 2(2x – 5) = 2(x + 3) – 8.

A: Using the distributive property, it can be written that ab+c=a×b+a×c. The solution of an equation mu...

Q: Consider the set S= {x €N|x is odd and 10<x<30}. Determine the cardinality of the power set of S.

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Q: Q2. The differential equation +p(x)y+q(x)y² = r(x) is known as Riccati's equation. If one dy dæ part...

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Q: Which one of the following correspond to statement "Every comedian is funny" where C(X) is "x is com...

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Q: Jamie had 6\frac{1}{2}621​ dozens of cookies. She sold 3\frac{2}{6}362​ dozen of the cookies she mad...

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Q: Consider the following. (u) = 7u - 8u h(u) u+1 Find f'(u) and h'(u). f'(u) = h'(u) = %3D Differentia...

A: Given the functions f(u)=7u4-8u, h(u)=u+1and G(u)=7u4-8uu+1. We have to find f'(u), h'(u) and G'(u).

Q: Suman and Kashish add and subtract -1 and -6. Suman claims that they can add and subtract the intege...

A: The given integers are -1 and -6  add them -1+-6=-7 change the order and again add -6+-1=-7 the addi...

Q: ONS: Find the ratio of the lengths of the co pairs of similar triangles. Write your solut

A: Given triangle △FGH~△PQR therefore the ratio of corresponding sides is same  therefore  △FGH~△PQRFGP...

Q: What is the analytical value of S (0.75) given (x)--01x-0. 15x-0.5x -0. 25x +1. 27 -1.0678 b. -1.421...

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Q: Solve the initial value problem: 12y" - y'-y 0 y(0) = 1 y'(0) = -2

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Q: Use the table of Laplace transforms to find the following 99 L 84

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Q: A lighting designer created a program for the opening of a stage show. When the show starts, 10 ligh...

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Q: Write

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Q: Find the paint the Surface Z = I+ xy thet is hearest on to the origin ·

A: Lagrange multipliers are used to find the local maxima and minima of a function under certain constr...

Q: sing the shell method, obtained by rotating the region bounded by y = x^3, y = 8, and x = 0 about th...

A: Given, The solid is  obtained by rotating the region bounded by y = x^3, y = 8, and x = 0 about the ...

Q: Choose which equation matches the graph pictured. 2 2 -2 O a) (x + 1)(x – 1) (ax – 5)(x+ 3) O b) (x ...

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Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

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Q: Find the volume of the solid, by using the shell method, obtained by rotating the region bounded by ...

A: First draw the graph of the solid generated by revolving the given region around the y-axis.  

Q: Which of the following graphs represents the relationship betweer x and y if y always increases as x...

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Q: Let y = - ty + 0.ly and y(0) = 0.72. Use Euler's method to find approximate values of the solution o...

A: Given y'=-ty+0.1y3 and y(0)=0.72 We have to use Euler's method to find approximate values at t=0.5,1...

Q: Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: 3 2+V3 Without using a calculator, find the value of cos0, giving your answer in the forma+ bV3 a, b...

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Q: Find the Laplace transform, F(s) of the function f(t) = sin(5t), t > 0. %3D F(s) = ,s >0 00 Use the ...

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Q: What is the relative error in estimating the first derivative of f (x) = 25x - 6x? + 7x -88 at x-2, ...

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Q: A city's population is currently 27,000 and is growing by 5.8% each year. If this continues, in how ...

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Q: xdy -ydx x²-y"

A: Given,            xdy-ydx-x2-y2dx=0

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS