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Show that 12 cos 30° -2 tan 60° can be written in the form square root k where k is an integer.

FIrst of all we need to understand how cos 30° and tan 60° are found. Let's think of an equilateral triangle, all three angles of the triangle are equal and 60° and each side has length 2. Let's half the tri...
AC
Answered by Asia-Marie C. • Maths tutor
12815 Views

What is the equation for calculating the surface area of a cylinder?

= 2πr 2 + πd x height (= area of the 2 circle at either end + area of rectangular surface around the cylinder)
YC
Answered by Young C. • Maths tutor
4158 Views

How do I integrate 2^x?

Let's first consider the differential of 2 x . We know that this becomes ln(2)*2 x . We can compare this to the integrand and see that this is very close indeed! The only problem is that ln(2) . So now consi...
JH
Answered by Jordan H. • Maths tutor
97749 Views

Given that y = -16x2​​​​​​​ + 160x - 256, find the value of x giving the maximum value of y, and hence give this maximum value of y.

y = -16x 2 + 160x - 256 x = 5 y = 144
MC
Answered by Matthew C. • Maths tutor
5571 Views

Write down the next two terms in the sequence: 14, 14.75, 15.5, 16.25, ...

17 17.75
MC
Answered by Matthew C. • Maths tutor
3579 Views