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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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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
5040 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
4961 Views

Fully simplify this equation; 3x^3 - x(3x+36) = 0

The first step is to multiply out the bracket 3x 3 - 3x 2 - 36x = 0 Then remove the common factor 3x 3x(x 2 - x - 12) = 0 Then factorise the bracket, by looking for two numbers which multiply to give -12, an...
RO
Answered by Rachel O. • Maths tutor
4128 Views

Conjuguer le verbe "savoir" a l'imparfait

Endings are -ais, -ais, -ait, -ions, -iez, -aient Je savais Tu savais Il savait Nous savions Vous saviez Ils savaient
PT
Answered by Pjotr T. • French tutor
3834 Views