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Maths
A Level

If cos(x)= 1/3 and x is acute, then find tan(x).

Consider a right angled triangle. Call one of the angles (not the right angle) in this triangle x. We can do this as we are told x is acute. The side opposite to x label O, the side adjacent to x label A,...

HK
Answered by Hugh K. Maths tutor
17479 Views

If n is an integer prove (n+3)^(2)-n^(2) is never even.

Let us begin by simplifying the expression:(n+3)2 - n2 = (n+3)(n+3) - n2= n2 + 6n + 9 - n2 (expanded brackets)= 6n + 9 (collected like terms)= 3(2n+3...

HK
Answered by Hugh K. Maths tutor
6351 Views

For what values of k does the graph y=x^(2)+2kx+5 not intersect the x-axis

Where the graph intersects the x-axis, x2+2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x2+2kx+5 = 0 not have a solution?This is now a simp...

HK
Answered by Hugh K. Maths tutor
28512 Views

How do you do integration by parts?

When you see a complicated product, split it into the form u.v', where u and v' are algebraic expressions such as x^2. You can then use the formula: uv'=uv-integral(vu') which you would take between an...

AB
Answered by Andrew B. Maths tutor
2855 Views

Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ

Step 1:

We begin solving this problem by finding the gradient of the tangent line at H, which is equal to dy/dx.

In this case, our curve has equations  x = 3sinθ and ...

PK
Answered by Pantelis K. Maths tutor
7959 Views

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