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Make d the subject of the formula: 3d + dxy = 4

d (3 + xy) = 4
d = 4/(3 + xy)

Answered by Maths tutor
2853 Views

A cylinder has radius 2cm and height 9cm. A cone has radius r cm and height h cm. The ratio r : h is 1 : 4. The volume of the cone is equal to the volume of the cylinder. Work out the value of r.

Firstly, we will find the volume of the cylinder using the formula V_cylinder =π r2h . Inputting the numbers given in the question gives V_cylinder = 36π.Given that V_cylinder = V_cone, and usi...

Answered by Alice C. Maths tutor
5715 Views

If y = 1/x^3, find an expression for dy/dx

Write down y = 1/x3 This can be rewritten as y = 1x-3 or just y = x-3 as if the x is on the bottom of the fraction, it can be rewritten with a negative version of the powe...

Answered by Pete B. Maths tutor
4806 Views

Prove the identity (sin2x)/(1+(tanx)^2) = 2sinx(cosx)^3

For a proof like this, I like to start with the more difficult-looking side, and aim to end up with the expression on the other side. Starting with the left hand side, the first thing to change is the sin...

Answered by Alice C. Maths tutor
7395 Views

Solve for x in the following equation: e^x + 10e^(-x) = 7

First of all, we bring the 7 to the left side of the equation to get: ex-7+10e-x=0. Then, by multiplying both sides of the equation by ex, we can get an equation in the fo...

Answered by Leonardo B. Maths tutor
3509 Views

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