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Express x^2+2x+4 in the form (x+a)^2 + b, hence find the stationary point of the curve.

Step 1) x2+2x+4 = (x+1)2+3Step 2) Minimum point occurs at (-1, 3)
I can use the whiteboard to explain it better.

Answered by Anton N. Maths tutor
5661 Views

Find the integral of the function y = ln(x)

(I can use the whiteboard for to explain it better)1) Express y = ln(x) as y = ln(x) * 12) Use integration by parts with u = ln(x), v'=(1), u'=1/x, v = xintegral = xln(x) - integral(x*1/x) =xln(x) - integ...

Answered by Anton N. Maths tutor
2655 Views

integrate 5x + 3(square root of x)

5/2 x^2 + 2x^3/2 +c

Answered by Ariana W. Maths tutor
4419 Views

Work out the equation of the tangent to a circle of centre [0,0] at the point [4,3]

We know that: (1) the radius of the circle to the point [4,3] is perpendicular to the tangent line, (2) if two lines are perpendicular, their gradients are negative reciprocals of each other, and (...

Answered by Jamie S. Maths tutor
6387 Views

Differentiate f(x) = 14*(x^2)*(e^(x^2))

Differentiate f(x) = 14x2ex^2To approach this problem we first need to realise that f(x) is made up of two simpler functions multiplied together. This tells us that we should use the...

Answered by Toby C. Maths tutor
2732 Views

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