Top answers

How do I improve my German essays?

Writing an essay in another language is a tricky task, but as with all essays, a detailed plan is the best way to start! Once you have a clear idea of what your essay is about, your 3 or 4 arguments and then...
JF
Answered by Jennifer F. • German tutor
4310 Views

Given that the equation x^2 - 2x + 2 = 0 has roots A and B, find the values A + B, and A * B.

There are two obvious approaches here: 1. Solve the equation x 2 - 2x + 2 = 0 to find A and B and then calculate the required values. 2. Or we can use the quicker method of analysing what it means for the ex...
SP
5727 Views

Find the positive value of x such that log (x) 64 = 2

Find the positive value of x such that log x 64 = 2 Using the logarithm rules, we know that we can rearrange the given equation into the form: x 2 = 64 Knowing this, we square root both sides to get x = 8, x...
SG
Answered by Santiago G. • Maths tutor
19769 Views

Show that the equation 5sin(x) = 1 + 2 [cos(x)]^2 can be written in the form 2[sin(x)]^2 + 5 sin(x)-3=0

First, we need to realise that we will be using the trigonometric identity sin(x) 2 + cos(x) 2 = 1 As our goal is to end up with an equation involving only sin, we will therefore substitue cos(x) 2 with ( 1 ...
SG
Answered by Santiago G. • Maths tutor
18386 Views

Calculate the frequency of a simple pendulum of length 950 mm. Give answer to an appropriate number of significant figures.

Firstly, we remember that frequency is the reciprocal of the time period. The formula for the time period of a simple pendulum is T=2π*sqrt(l/g) Secondly, we identify each part of the equation. We recall tha...
TS
Answered by Theodore S. • Physics tutor
7129 Views