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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

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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

4397 Views

Describe the four stages of compilation.

The first stage is lexical analysis which takes the source code as an input and: • Removes whitespace and comments; • Converts remaining code into tokens, by breaking down the code by recognising reserved...

Answered by Hugh R. • Computer Science tutor

15282 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

6468 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

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