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How would I solve the following equation d^2x/dt^2 + 5dx/dt + 6x = 0

Our given equation is d 2 x/dt 2 + 5dx/dt + 6x = 0, which we need to recognise as a second order differential equation. Therefore we need to begin by solving the auxilary funtion m 2 +5m +6= 0. ( Side note: ...
DM
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Find the turning points of the curve y = x^3 +5x^2 -6x +4

y = x 3 +5 x 2 -6 x +4 dy/dx = 3 x 2 +10 x -6 at turning points dy/dx = 0 therefore 3 x 2 +10 x -6 = 0 This quadratic is factorisable. When factorised you get: (3 x -2)( x +4) = 0 therefore x = 2/3 and -4 at...
AB
Answered by Arshan B. • Maths tutor
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Differentiate y=x^3

dy/dx = 3x^2
RH
Answered by Rhiannon H. • Maths tutor
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If the area of a rectangle with sides 3cm and (4+x)cm is equal to that of a triangle with base of 2xcm and a height of 4cm, find x

First, if the question does not already have one, draw a diagram. Area of a rectangle is base * height and area of a triangle is 1/2 * base * height. As the two areas are the same, you know you can set the t...
AK
Answered by Alice K. • Maths tutor
4932 Views

Work out the increase in price from £1.50 to £2.00 as a percentage.

To find the increase in price, you have to find the change in price and then compare that to the original price. The change in price is found by doing new price-old price (£2.00-£1.50=£0.50). You then find i...
AK
Answered by Alice K. • Maths tutor
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