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(Follow on from previous question) A curve has equation y= x^2+3x+2. Use your previous results to i) find the vertex of the curve ii) find the equation of the line of symmetry of the curve

i) y = x2+3x+2 = (x+3/2)2-1/4Solution for (x+3/2) = 0 is x coordinate, which is x = -3/2Solution for y value is the additional constant, which is y = -1/4Therefore the vertex (minimu...

Answered by Ross I. Maths tutor
2769 Views

Express x^2+3x+2 in the form (x+p)^2+q, where p and q are rational numbers.

 x2+3x+2 = (x+p)2+q (x+3/2)2 = x2+3x+9/4 x2+3x+2 = (x+3/2)2-9/4+2 x2+3x+2 = (x+3/2)2-1/4

Answered by Ross I. Maths tutor
6957 Views

How can I remember how to differentiate and integrate cos and sin?

I find it is best whenever you open your maths paper to draw this diagram to help you remember: Sin(X) -> cos(X)-> -sin(X) -> -cos(X)----->
{Drawn in a circle on the board}
To diff...

Answered by Hannah M. Maths tutor
4547 Views

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...

Answered by Chunlong H. Maths tutor
3668 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...

Answered by Nils B. Maths tutor
2552 Views

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