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I m wondering if you can show me the math behind these problems

 
 

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1.I'm not sure if multivariable calc is the same as complex numbers, but I hope you can answer anyways :) ...

:) I was wondering in the equation z^4 = m/(square root of 2) + (m/(square root of 2)) i with the answer saying the second line is z = m cis (pi/4) where they got the 4 from. did they get it from z^4 or something? thanks!
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2.Hi there, I don't really understand differential calculation and I will have test tomorrow, I am a stressed a bit ...

tressed a bit about it, I am wondering if you could help me? I would be really glad and thankful!! I am polish by the way so sorry about it, but here is the task: 2.81. Investigate whether there are values ​​of k, m (k, me R) parameters for which the function f is differentiated in the set R. Find f '. I attached an image also, I would be really thankful for any kind of help! Jeśli means 'If'
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3.I was wondering if you could help me with some Linear Motion Physics Problems. For the first question, I completed ...

n, I completed parts A and B, but can't get C. We get all the answers to the questions but not how to get to the answer. The question is: Patrick changes velocity from 2.0 m/s North to 4.0 m/s South with an acceleration of 0.50 m/s/s South. (A) Determine how much time this process takes (ANSWER: 12 s). (B) Find his displacement (magnitude and direction) (ANSWER: 12 m South). (C) Find how much distance Patrick covered (ANSWER: 20 m). Another question I was having trouble with was this (I got part A but not parts B or C): Two cars are traveling along a straight line in the same direction, the lead car at 25.0 m/s and the other car at 30.0 m/s. At the moment the cars are 40.0 m apart, the lead driver applies the brakes, causing his car to have an acceleration of -2.00 m/s/s. (A) How long does it take for the lead car to stop? (ANSWER: 12.5 s). (B) Assuming that the chasing car brakes at the same time as the lead car, what must be the chasing car's minimum negative acceleration so as not to hit the lead car? (ANSWER: -2.29 m/s/s). (C) How long does it take for the chasing car to stop? (ANSWER: 13.1 s).
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4.I was wondering if you could help me step up my chem problems, i'm not sure how to begin ...

estion 1: Draven collected a 1ml sample from a local river. Draven added 99 ml of water to the sample. Draven then took 5 ml of the diluted sample, and determined the 5 ml sample to contained 10 mg of sodium chloride. what is the concentration of sodium chloride in the river? question 2: how many grams of H2 could be produced when 13 g of H202 decompose? question 3: how many molecules of carbon dioxide could be produced when 25 ml of a 0.8 M ethanol, c2h60, combusts with 5.18X10^23 molecules of oxygen? the unbalanced equation for the combustion of ethanol is given below: 2ch6O+302-> c02+h20
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics