Recent content by ISITIEIW

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    MHB Easy Question On Multiple Choice.... Confused

    Hey, i was doing a multiple choice question and i got 0.83/1 on it... There were 6 options to choose from and you could choose as many as you liked. I only picked one of the options. I'm confused as to how or what equation is used to calculate what mark you will get on each multiple choice...
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    MHB What is the Velocity of a Released Point Charge in Physics?

    Hey guys, I didn't know where i could post this problem, but you guys seemed the best for the job :p A point charge q1=+120nC, is fixed in space and can not move. A second point charge, q2=+6nC, is initially held at rest 1 m away from charge q1. Charge q2, is then released from rest. How fast...
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    MHB Maclaurin Series for e^x Example

    OH lol, So then the corresponding series would be (x^2(3^n)(x^2n))/n! which equals ((x^2n+2)3^n)/n! ?
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    MHB Maclaurin Series for e^x Example

    Right, so now I have e^(3x^2) = (3^n)(x^2n)/n! … what do i do to incorporate this negative 1 in the expression? x^2(e^3x^2 - 1)?
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    MHB Maclaurin Series for e^x Example

    Hey Guys! I'm stick on this question, I know that the summation of n=0 to infinity for x^n/n! equals e^x In the question it wants me to come up with a corresponding summation for the function x^2(e^(3x^2) - 1) … I don't know how to manipulate it to get the -1. I know i can substitute x for...
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    MHB Verify a function is a solution.

    Verify that x^2 + y^2 = cy is a solution of dy/dx = (2xy)/(x^2-y^2) where c is a constant. I don't know how i should start this problem. I've done a couple DE questions but nothing like this.. Thanks
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    MHB Application to Improper Integrals

    Suppose that the rate that people are getting infected in an outbreak of a virus is given by y=200xe^-0.5x. How many people in total will get infected from this outbreak? So i know I'm doing it right but i keep getting a strange number… so i set up an integral of that function from 0 to...
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    MHB Improper Integrals - Comparison Test

    thanks, i didn't know that you could have 3/x^p for the p test
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    MHB Improper Integrals - Comparison Test

    Hey, not too sure about what function i would compare this integral from 1 to infinity of (3x^3 -2)/(x^6 +2) dx. I also have to show that it converges. Thanks!
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    MHB How Do You Find the Slant Asymptote of \( y = \frac{x}{2} - \tan^{-1}x \)?

    Hey! I know how to find slant asymptotes of regular rational functions, but what happens when the function is $y= \frac{x}{2} - \tan^{-1}x$ ? Is there a special way to do this? I know what the $\arctan x$ function looks like and that is $y\in(-\frac{\pi}{2},\,\frac{\pi}{2})$ and it is...
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    MHB Integration Question: Differentiating a definite integral

    So the question is…Evaluate the following… $$\frac{d}{dx} \left(\int _1^{x^2} \cos(t^2) \, dt \right)$$ I thought i could use the FTC on this because it states… $$\frac{d}{dx} \left(\int_0^x f(t)\, dt \right)=f(x)$$ but i can't correct? because in my question it starts at 1…is there some way...
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    MHB Riemann Sum Definite Integral Question

    So the question is Evaluate (x-2)dx as the integral goes from -2 to 2 using the definition of a definite integral, choosing your sample points to be the right endpoints of the subintervals… Ok, so i understand how to do this problem if it gave me an actual number of interval like n=6 but it...
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    MHB How Fast is the Shadow Moving on Building B?

    Um, not too sure that 480 is correct because bx= 80(60-x) and 80 times 60 is 4800 not 480 Thanks again! :p
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    MHB How Fast is the Shadow Moving on Building B?

    Thanks, I got b=4800/x - 80 then db/dt = -4800x^-2 (dx/dt) and we know the values of x which equals 60-12=48 and (dx/dt)= 2 so db/dt = -25/6 ft/s Thanks !
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    MHB Exponential Growth & Decay Question

    Thanks! I got k to be 0.549306144 and got a x(not) value of 5.196152423 I got it from here ! Thanks :)
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