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Suppose we have a circle whose radius is 5cm. If a sector of this circle has an area of 15 cm^2, what is the size its angle (in degrees)?

Firstly, you would need to figure out what formula you can use to solve this problem. You know the radius and area of the sector, and you need to find the angle. So, the correct equation to use would be t...

Answered by Roxani S. • Maths tutor

3133 Views

Solve the equation 5^(2x) - 12(5^x) + 35 = 0

The first step to solving this is equation is to notice that the equation is of a similar to the form of a quadratic equation: ay^2 + by + c = 0 where a, b and c are constants. Next we introduce a new va...

Answered by Jacob G. • Maths tutor

9738 Views

Differentiate with respect to x: y = ln(x^2+4*x+2).

Let u = x²+4x+2 so y = ln(u).

Then dy/du = 1/u and du/dx = 2x+4.

Using the chain rule we have:

dy/dx = (dy/du)*(du/dx)

= (1/u)*(2x+4)

= (2x+4)/(x²+...

Answered by Okim L. • Maths tutor

4695 Views

The first 4 terms of a different sequence are: 9, 13, 17, 21. Find an expression for the nth term of the sequence

In order to find the nth term of a sequence you need to keep the structure of the nth term sequence in mind (dn+x). The first thing we want to do is find 'd'. In this case 'd' stands for difference, which...

Answered by India B. • Maths tutor

6927 Views

Prove that sec^2(θ) + cosec^2(θ) = sec^2(θ) * cosec^2(θ)

These problems can be tricky as they use unfamiliar trigonometric functions such as secant and cosecant. It is much easier to approach these problems by replacing these trigonometric functions with more f...

Answered by Hugh R. • Maths tutor

11311 Views