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Maths
GCSE

Simplify fully the fraction (a^2 + a − 6)/ (ab+3b)

so, let's split the fraction up, into the top half and the bottom half, and deal with each part at a time. The top part of the fraction (numerator) is a^2 +a -6 , and you can see that it is a quadratic eq...

SL
Answered by Sinchana L. Maths tutor
4640 Views

Differentiate (x^2)*(e^x) using product rule

Product rule: d/dx[f(x)g(x)]= f(x)d/dx[g(x)] + g(x)d/dx[f(x)]Let f(x)=x^2 and g(x)=e^xf'(x) = 2x and g'(x) = e^x Therefore,The derivative of (x^2)(e^x) = 2x(e^x) +(x^2)(e^x)

JB
Answered by John B. Maths tutor
2834 Views

What is the size of the exterior and interior angle of a regular 13 sided polygon?

First of all select one vertex on the polygon and draw straight lines from the selected vertex to every other vertex on the polygon. In doing so this should divide the shape into 11 triangles. Using the k...

SH
Answered by Scott H. Maths tutor
24275 Views

Solve x^2 + 5x – 24 = 0

Being a quadratic equation in the following form,the simplest way to solve would be through the quadratic formula which goes as follows:
The first step to solving is therefore to identify a, b, c, wi...

MK
Answered by Mohammed K. Maths tutor
4923 Views

A boat travels due North at 5km/h for 3 hours, then changes course and sails due east for 2 hours, adjusting his speed to 8km/h. What is his total displacement from his original position?

  1. Begin by setting up the problem with a diagram. Yu should draw a right angled triangle, with currently unknown lengths.2) Calculate the distance travelled for the two parts of the journey. Use Dista...
EC
Answered by Emma C. Maths tutor
2885 Views

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