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How do you check if a graph ever touches the x-axis?

At the x-axis, y is always zero at any point. If you want to fnd out whether or not a graph reaches the x-axis, then substitute y=0 into the equation and find the value of x. If it solves, then we know it do...
JC
Answered by Jawad C. • Maths tutor
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How do you find the maximum/minimum value of an equation?

When finding the maximum or minimum of an equation, make sure you rearrange an equation to make y the subject of the equation i.e. y=_________. You can then differentiate with respect to x and then set the d...
JC
Answered by Jawad C. • Maths tutor
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Prove: (1-cos(2A))/sin(2A) = tan(A)

Firstly we must lay out our double angle formulas which are required for this question: cos(2A) = 1-2sin^2(A) = 2cos^2(A)-1 sin(2A) = 2sin(A)cos(A) Working from LHS: (1-cos(2A))/sin(2A) Focusing on the denom...
RP
Answered by Rishi P. • Maths tutor
21459 Views

What is ln(10)-ln(5)?

Laws of logs tells us that ln(a) - ln(b) = ln(a/b) Therefore ln(10)-ln(5) = ln(10/5) = ln(2)
JC
Answered by Jawad C. • Maths tutor
11527 Views

How do you factorise x^2 -4 = 0?

x 2 -4=0 becomes (x+2)(x-2)=0 Either one of the two brackets has the value of 0. If the first bracket is zero, then x+2=0, therefore x=-2 If the second bracket is zero, then x-2=0, therefore x=2
JC
Answered by Jawad C. • Maths tutor
4087 Views