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When (x – 2)^2 + 7 has a minimum value, what is the value of x?

First, expand (x-2) 2 : = (x-2)(x-2), = x 2 - 2x - 2x + 4 = x 2 - 4x + 4 Add on the +7: = x 2 - 4x + 11 complete the square = (x - 2) 2 - 4 + 11 = (x - 2) 2 + 7 when the graph has a minumum value, (x - 2) = ...
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Answered by Tom L. • Maths tutor
7747 Views

How do I calculate the gradient of a non linear equation at a given point?

As we know, to find a gradient in a linear function, we have to calculate the difference in the objective function (usually y) by the difference in the choice variable (commonly x), you may know this as rise...
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Answered by Milo L. • Maths tutor
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Can I have help with integrating by parts? I am unsure on how to use the formula.

Integrating by parts is simple. Simply put the equation into two parts, U and dV/dx. When considering which part of the original function will be U and which part will take dV/dx, you should consider which p...
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Answered by Milo L. • Maths tutor
3653 Views

A ball is thrown from ground level at an angle of 30 degrees from the horizontal with a velocity of 20 m/s. It just clears a wall with a height of 5m, from this calculate the distances that the wall could be from the starting position.

The first thing to do is draw a diagram to visualise the problem. Next we write down all the information the question gives us as well as which values we want to find. For this question it would be S=5m, U=2...
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Answered by Aysha A. • Maths tutor
4619 Views

How do I work out (2+y)^4 using the binomial expansion?

We're going to use the binomial expansion formula, which is a lot easier to remember than it looks: (a+b) n =C 0 *a n *b 0 + C 1 *a (n-1) *b 1 + C 2 *a (n-2) *b 2 +....+ C n *a 0 b n Now let's apply this for...
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Answered by Andrew B. • Maths tutor
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