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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 from the va...
RS
Answered by Rajan S. • Maths tutor
6310 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 differentiating V = 4/3...
MA
Answered by Max A. • Maths tutor
14316 Views

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

y=x 2 +2x-3 Can solve using quadratic equation. Using the square method to obtain for the square term and x term (x+1)(x+1) = x 2 +2x+1 Therefore (x+1)(x+1)-4=y To find roots equate to zero: (x+1)(x+1)-4=0 T...
HS
Answered by Harry S. • Maths tutor
6849 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
3729 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: tan 2 + 1 =sec 2 A tan(A-B) = (tanA-tanB)/(1+tanAtanB) so for the first equation sec 2 A - tanA =13 we su...
JM
Answered by Joshua M. • Maths tutor
11595 Views