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What does it mean to "complete the square"?

Completing the square is a useful method of rearranging a quadratic equation so the unknown ("x") only appears in it once. The theory of completing the square tells us that we can take a quadrat...

CG
Answered by Caitlin G. Maths tutor
3485 Views

Consider a right-angled triangle with an inside angle of 30° and a hypotenuse of 8cm. Calculate the length of the opposite side to the 30° angle.

Recall the trigonometry rule SOH/CAH/TOA (Silly Old Hitler Couldn't Advance His Troops Over Africa).

  1. Label:   Draw the triangle and label the sides with Hyp, Opp & Adj.
  2. <...
JL
Answered by Joshua L. Maths tutor
3455 Views

How do I simplify multiplying potencies with the same base?

If for example you have g square x g cube, all you have to do is add up the potencies and put them in the same base, so in this case it will be g5. in the case of dividing potencies all you hav...

GG
Answered by Gonzalo G. Maths tutor
1665 Views

Find the integral of (sinxcos^2x) dx

To find the Integral of (sinxcos^2x) dx, we must first use our knowledge of integration and differentiation of simple trigonometric functions. Such as Sinx and Cosx. Combined with our knowledge of integra...

ZS
Answered by Zachary S. Maths tutor
13641 Views

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

The first thing required is to find out what dy/dx is in terms of x. For this, we need to differentiate y with respect to x which be can so to each term of the polynomial. All you need to do is mutiply th...

JM
Answered by James M. Maths tutor
6982 Views

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