can someone help me with this calculus question, because of coronavirus stopping schools we havent been able to learn it as we dont do online school

icepops21

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Apr 23, 2020
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1

A radioactive material decays accordingly to the following exponential equation:

M = 2e-3t

Where M is the mass in milligrams and t is the time in hours

  1. Produce a table of mass values for time values from t = 1 to t = 3 at intervals of half an hour (in standard form to 3 decimal places).

  1. Plot a graph of mass versus time (mass on y-axis and time on x axis) in Portrait layout

  1. From the graph determine the mass of the material when t = 1.75 hours.

  1. Find, using integration, the area under the curve between t = 1 and t = 3.


b)
As a capacitor charges the voltage increases according to the following equation:

Vc = Vo (1 - e-t/t)​

Where

Vo = Supply voltage
t = time
t = Tau, RC

  1. Produce a table of values if t = 2 and Vo = 10v. (For t between 0 – 10 seconds)

  1. Plot a graph of Vc against time

  1. Find the gradient of the curve at t = 4 seconds

  1. Differentiate the equation to prove.

  1. Analyse and compare stages iii and iv

 
We can help; but of course, since the goal is to help you learn the topic, we'll have to know what parts of the topic you need help with, so you can then do the assignment on your own (to show that you did learn it).

So please either show an attempt at the work so we can guide you through what you can't do, or ask some specific questions that we can answer (or maybe provide a link to learning materials on the topic).

When you show work, it will be helpful if you show exponents properly, which could either be "M = 2e-3t" using the "superscript" button on the edit bar, or "M = 2e^(-3t)" using standard typed notation, or "[MATH]M = 2e^{-3t}[/MATH]" using the "calculator" button that takes LaTeX codes, or in handwriting in an attached image.
 
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