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Find 1 + (1 + (1 + (1 + (1 + ...)^-1)^-1)^-1)^-1

 1 + (1 + (1 + (1 + (1 + ...)-1)-1)-1)-1

This pattern goes infinitely.

The first step to this question, is to observe. Observe the patter...

JY
Answered by Jason Y. Maths tutor
5577 Views

5 White Socks and 3 Black socks are in a drawer. I take out two socks. What is the probability the socks are the same colour?

Problem Tackles: Counting Probabilities, Non-replacement probability problems. Keeping track of events
Total number of socks: 5 + 3 = 8Scenarios: Could pick two white socks or two black socksP(Pickin...

BS
Answered by Bonnor S. Maths tutor
6100 Views

Find a solution for the differential equation dy/dx=exp(-y)*sin2x which passes through the origin.

First separate the variables so that the left side of the equation is an expression only in terms of y and the right side only in terms of x.exp(y)dy=sin2x dxSecondly both sides have to be integrated to o...

FB
Answered by Felix B. Maths tutor
3117 Views

Solve the following equation : x^2 + 2x +1 = 0

x2 + 2x +1=0x2 + x + x + 1 = 0x(x+1) + 1(x+1) = 0 ... factorise out to leave cmmon factorsfactorise out the common brackets...(x+1)(x+1) = 0 If two things multiplied together craete ...

BA
Answered by Brandon A. Maths tutor
3028 Views

A particle P of mass 0.4 kg is moving under the action of a constant force F newtons. Initially the velocity of P is (6i – 27j) m s−1 and 4 s later the velocity of P is (−14i + 21j) m s−1 . Find, in terms of i and j, the acceleration of P.

On the whiteboard I would provide a brief drawing of the particle, and of all the information provided (force applied to P and its before and after velocity) as a visual aid for the student. I would ask/r...

FW
Answered by Finn W. Maths tutor
6601 Views

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