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Find the general solution of the equation tan(2x + pi/2) = SQRT(3), giving your answer for x in terms of π in a simplified form.

Assume y = 2x + pi/2,
Since the period of 'tangent' is pi, the general solution of 'y' to valid the equation of tan(y) = SQRT(3) is the form of y = npi+pi/3 where 'n' is any positive or negative...

CH
Answered by Chunlong H. Maths tutor
4100 Views

Tom drink drives two days a week, the chance of him being caught per day is 1 in 100. What is the chance he will not be driving after a) one week? b) one year?

a) In one week he will drive drive twice, each day the probability of getting caught is 1/100 and not getting caught is 99/100. using a probability tree diagram, we can see there is only one possible outc...

NB
Answered by Nils B. Maths tutor
3005 Views

Use integration by parts to find ∫ (x^2)sin(x) dx. (A good example of having to use the by parts formula twice.)

Before we blindly start using the integration by parts formula, we can see that no matter how many times we differentiate or integrate sin(x) we will still have a trigonometric function. The aim of the 'b...

JC
Answered by Jack C. Maths tutor
6274 Views

5x(3+2) =?

5 x(3+2) =5x(5)= 25

HC
Answered by Harish C. Maths tutor
1646 Views

Find values for x and y from two simultaneous equations: 2x + y = 5 and 3x + y = 7

Rearrange one of the equations to make y the subject:y = 5 - 2x Substitute y into the other equation: 3x + 5 - 2x = 7 x = 2 y = 5 - (2 x 2) y = 1

MV
Answered by Marco V. Maths tutor
3331 Views

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