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Question related to Mathematical Induction

Symplify n! /(n-3)!

Let f be a continuous function such that 

find x

Psychologists interested in learning theory study learning curves. A learning curve is a graph of a function P (t), the performance of someone learning a skill as a function of the training time t. The derivative dP/dt represents the rate at which performance improves,

1. Plot the solution over time. Decide the unit of time and explain why it is most suitable for this model. 

1. Using your habits as the model, create a table for 3 different values of M, and plot your learning curve. Using a graphing tool to generate the graph

f( t) = e^ t , and t (x) = x^2 + 3x , find f( t( x)) when x=2.

Help me please man I beg you

A 2017 penny has a mass of 2.542 G and produces a copper shell with a mass of 0.065 G. Find the percent Cu in the penny

Sketch v, -3v, and where v = 4,0    

v

4. Do the polynomials  ?

Write the vector shown below as a combination of vectors  and shown above 

Vector = ______ + ______ 

Find the parametric equations

Find parametric equations

There were 60 questions to be answered in a mathematical competition. The average number of questions answered correctly by all the participants was 44 . The average number of questions answered correctly by the top 75% of the participants was 48. What was the average number of questions that were answered incorrectly by the bottom 25% of the participants?