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The arithmetic series is given by (k+1)+(2k+3)+(3k+5)+...+303. a)Find the number of term in the series in terms of k. b) Show that the sum of the series is given by (152k+46208)/(k+2). c)Given that S=2568, find k.

a) I would start by trying to see if the student can do it by himself. In the case the student does not know how to start, I would start by asking him if can find the general term. Here there are two ways...

Answered by Bogdan P. • Maths tutor

8853 Views

Show that the curve with equation y=x^2-6x+9 and the line with equation y=-x do not intersect.

First, you equate the 2 equations to get this single quadratic equation (x^2-5x+9=0). And then evaluate the expression b^2-4ac. If b^2 -4ac is < 0 then they do not intersect. In our case b^2 -4ac is -9...

Answered by Foday K. • Maths tutor

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The line L has equation 7x - 2y + 11 = 0, Find the gradient of l

First rearrange the equation to get 2y = 7x + 11.Then divide through by 2 to get the equation for y: y=7x/2 +11/2Now differentiate with respect to x to find the gradient function: dy/dx=7/2 + 0We hav...

Answered by Gabriel H. • Maths tutor

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How do you know if a stationary point on a curve is a maximum or minimum without plotting the graph?

Once you have found the stationary point of the equation by differentiating the equation and equating it to zero. You can then find out if the point you have found is a maximum, minimum or point of inflec...

Answered by Sam G. • Maths tutor

4087 Views

How do I plot a graph of y=x^3-9x?

To begin with we see that y=x³-9x is a positive cubic function, and therefore we know its general shape.The first step is to find the x interecepts. We do this by setting y=0 and solving the re...

Answered by Tutor127548 D. • Maths tutor

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