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(3+2i)/(1-4i) in a+bi form

multiply by 1 or 1+4i/1+4i (3+2i)(1+4i)/[(1-4i)(1+4i)] =3+12i+2i-8/[1-4i+4i+16] =-5/17+14i/17-you have to foil it but remember ixi=-1 so after foiling it you get 3x1=3 3x-4i=-12i 2ix1=2i 2ix-4i=-8x

I need help on this math problem

The sun is about 1.5 • 10^11 m from earth. If the sun suddenly went out, about how many minutes would elapse before people on earth would know? (Hint: The speed of light is about 3 • 10^8 m/s.) Show y

LINE INTEGRAL (calcIII)

 INTEGRAL_C (x − y) ds, where C is the portion of y = x^3 from (1, 1) to (−1, −1)-The integral is along C, so x - y = x - x³ ds = √(1 + (dy/dx)²) = √(1 + 9x^4) The line integral becomes -1∫ (x - x³

F(x)= x^3+9x^2+26x+30, find the zeros of the function

so i think find the zeros means to find the roots right? so would i do the whole integral roots thereom thing then factor?i should end up with 3 roots right?-Yes, the zeros and roots are the same thin

Mathematics : What would be the specs on this idea

Have you ever thought about dropping a coin (say a quarter) off of a huge skyscraper (lets say the Empire State Building) What would be the speed of that coin travellig down the huge building, and t

Help me find Find S (Integration problem)

y = √x , y = 1/4x , x=25 So with that information do I integrate with r espect to the y axis? I know they intercept when x = 0 and 16 so what do I do with the x = 25? i dont understand that part

If x=ln(x+2), what does f(-1.999) mean

functions-In[(-1.999)+2]

Alg 2 Help(easy): What is the sum of the infinite geometric series: 1/2 + 1/4 + 1/8 + 1/16...

A. 1 B. 1.5 C. 2 D. 2.5 Please say or show how you got the answer :D-geometric series sum to a/(1-r) where a is the first term, and r is the ratio between terms. For this series you then get (1/2)/(

-3+3i in polar form between 0 and 2pi

z = -3 + 3i = 3(-1 + i) r = 3√(1+1) = 3√2 θ = tan^-1(1/(-1)) = 3Π/4 (since x is negative and y is positive, θ is in II quadrant) z = 3√2 [cos(3Π/4) + isin(3Π/4)]

I need help with Polynomial functions p(x) Algebra 2

Here is the Directions... Write the polynomial function of least degree with integral foefficients that has the given zeroes. ( or in other words as my teacher says for a simpler explanation, find th

What's my grade in class

We have 250 points possible and up until now Ive accumulated 144.5 points....next week is Finals so I have a chance to get another 60 points but what is my grade as of now with 144.5 points out of 250

Can you help solve 5a - 5 = 7 + 2a

Solve and graph the inequality. -5x Can you help solve 6x + 3 = x + 8 Solve the inequality. -4w>12-1. x=4 2. x>-11 (you must switch sign if you divide by a negative) 3.x=1 4.w-Try this, its a super

Solving for Variable Problems help

1. The perimeter of a standard-sized rectangular rug is 32ft. The length is 2ft longer than the width. Find the dimensions. What is the width? What is the length? 2. A flower bed is in the shape of

Algebra 2 Help Needed!!!

-Factor. 1) 8x^2 + 12x - 16 2) x^4 - 20x^2 + 64 Please help!!-1. 4(x^2 + 3x - 4) 2. (x^2 - 4)(x^2 - 16)(x + 2)(x - 2)(x + 4)(x - 4)-i think both eq. cant be factorised. you can get values of x by f

How to find the antiderivative of f(x)=8sin(2x)

Sorry to ask again, and this must be such a simple problem but I havent done this for a while. I think Im over analyzing it. I was going to take the u as 2x and not sure what the du would be..sinx?but
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