Maths Tekky RAG

Question 1

Sketch sinx/x

Question 2

Sketch e^x/x

Question 3

Sketch sinx+x

Question 4

If I am in a room with 5 people and guess all their birthdays what is the probability of getting (only) one correct?

Question 5

Differentiate x^x, then sketch it

Question 6

Integrate 1/(x^2) between -1 and 1. Describe any difficulties in doing this?

Question 7

Integrate xlog(x).

Question 8

How many solutions to kx=e^x for different values of k?

Question 9

Sketch y=cos(1/x).

Question 10

What is the square root of i?

Question 11

Sketch Y = (x^4 - 7x^2 + 12)/(x^4 - 4x^2 +4).

Question 12

Sketch y^2 = x^3 - x

Question 13

Integrate from 0 to infinity the following: Int[xe^(-x^2)]dx and Int[(x^3)e^(-x^2)]dx.

Question 14

If (cos(x))^2 = 2sin(a), what are the intervals of values of a in the interval 0 ≤ a ≤ pi so that this equation has a solution?

Question 15

You are given that y = t^t and x = cost. What is the value of dy/dx?

Question 16

You are given that y = t^t and x = cost. What is the value of dy/dx?

Question 17

Differentiate y = sinx + cosx + tanx

Question 18

Imagine 100 people all put £1 into a pot. Each person has to choose a number between 0 and 100. The prize goes to the person whose number is closest to 2/3 of the average of all the numbers chosen. What number will you choose and why?

Question 19

Draw the exponential of x3(ex3), and then differentiate it.?

Question 20

Draw the graph of the exponential of the exponential of -x2, e^e^-x2.?