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A curve has the equation y=3x^2-2x+7, find the gradient of the line at the point (6,3)

dy/dx = 34
BC
Answered by Ben C. • Maths tutor
5765 Views

How do I prove (x-2) is a factor of the function f(x) = x^2-4x+4?

First equate the factor to equal 0 then solve:x -2= 0;x = 2; now plug the number 2 into all the X values: (2)^2-4(2) + 4 = 8-8 = 0
LC
Answered by Luke C. • Maths tutor
4029 Views

Given that y = 16x + 1/x , find the two values of x for which dy/dx = 0

The first stage of this question involves differentiating the equation of y in terms of x given to us. In order to differentiate, we first need to write y in terms of base x (where all the terms are x to the...
AK
Answered by Andrew K. • Maths tutor
5956 Views

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 to...
BP
Answered by Bogdan P. • Maths tutor
10249 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, w...
FK
Answered by Foday K. • Maths tutor
4821 Views