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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...

Answered by Mohammed K. Maths tutor
4332 Views

If f(x)=7xe^x, find f'(x)

f(x) = 7xexUsing the product rule: [f'(x)=u*(dv/dx)+ v*(du/dx)]Let u=7x and v=exTherefore, du/dx=7 and dv/dx=exHence, f'(x) = 7xex + 7ex

Answered by Lanya M. Maths tutor
2950 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...
Answered by Emma C. Maths tutor
2443 Views

Draw the graph for y = x^2 + 4x +2

This is a quadratic equation. So we know the shape will look something like this:
(draw 'smiley face' shape. Plot some points showing for x=2, y = 4. For x =3, y =9. Show symmetry: a negative number ...

Answered by Laura O. Maths tutor
4053 Views

A rectangular frame is made from 5 straight pieces of metal with height 5m and length 12m. One of the pieces of metal goes through the diagonal of the rectangle. The weight of the metal is 1.5 kg per metre. Work out the total weight of the metal

Firstly, I would suggest that we draw a diagram to visualise the problem. Using the diagram and knowledge of rectangles, you can see that the rectangle is made of two right angled triangles. Thus we can u...

Answered by Charlie B. Maths tutor
16501 Views

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