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Maths
A Level

differentiate the equation f(x) = 3x^2+5x+3

Look at each of the x variables to determine what happens to each term.

3x^2 has a power of 2 on the variable, therefore, the 2 is multiplied by the coefficient on the x. You must also subtract 1 f...

RS
Answered by Rajan S. Maths tutor
5919 Views

A spherical balloon of radius r cm has volume Vcm^3 , where V =4/3 * pi * r^3. The balloon is inflated at a constant rate of 10 cm^3 s^-1 . Find the rate of increase of r when r = 8.

We are being asked to find the rate of change of radius, dr/dt. We will need to use the chain rule to do this: dV/dt = dV/dr * dr/dt.

We are given that dV/dt is 10cm^3 per second, and differentiati...

MA
Answered by Max A. Maths tutor
13750 Views

Find the roots of y=x^{2}+2x+2

y=x2+2x-3

Can solve using quadratic equation. Using the square method to obtain for the square term and x term (x+1)(x+1) = x2+2x+1

Therefore (x+1)(x+1)-4=y

To f...

HS
Answered by Harry S. Maths tutor
6442 Views

How do you intergrate a function?

Increase the powers of all variables by one and then divide them by this number. For example, given 3x^3 + 5x^-0.5 - 8 , this would give 3/4x^4 + 10x^0.5 - 8x

DC
Answered by David C. Maths tutor
3392 Views

given that angles A and B are such that, sec^2A-tanA = 13 and sinBsec^2B=27cosBcosec^2B

First of all key elements required for this question is the knowledge or retrival of these equations: tan2 + 1 =sec2 A   tan(A-B) = (tanA-tanB)/(1+tanAtanB) so for the first equation...

JM
Answered by Joshua M. Maths tutor
11240 Views

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