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Make a the subject of: (a+3)=(2a+7)/r

Equation: a+3 = (2a+7)/r First, we want to rearrange the equation, so that the 'r', which is the denominator of the right hand side, multiplies with (a+3), creating r(a+3) = 2a+7. Expanding this out, the equ...
JM
Answered by Jana M. • Maths tutor
14111 Views

Given that y = 4x^3 – 5/(x^2) , x =/= 0, find in its simplest form dy/dx.

We are given: y = 4x^3 – 5/(x^2) To find the dy/dx we are going to use the power rule, from the power rule differentiating x^n gives n*x^n-1, so from our equation differetiating x^3 will give 3x^2, but we ne...
MA
Answered by Mohamed A. • Maths tutor
5940 Views

How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)

First you want to draw the complez number on to an argand diagram, using which you will find the modulus and argument. This is how to do so: The modulus is to be obtained using pythagoras (which will be easi...
MB
Answered by Meghali B. • Maths tutor
10034 Views

Solve for x in the following equation using the quadratic formula, completing the square and factoring method: 2x^2-x-1=0

x=-1/2 and x=1
RC
Answered by Ravinder C. • Maths tutor
3978 Views

Find the first 3 terms and the sum to infinity of a geometric series with first term, 10 and common ratio 0.2

General form of a Geometric series: a + ar + ar^2 + ar^3 + ar^4 + … First three terms: 10 + 10 0.2 + 10 0.2^2 = 10 + 0.2 + 0.04Nth Term of a Geometric Series: ar^n-1 where there are n terms Proof of sum of t...
DW
Answered by Daniel W. • Maths tutor
7617 Views