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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
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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
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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
6855 Views

Find the intercept between the two equations below?

y = 2x+5 y=x+1 First equate: 2x+5=x+1 Rearrage for x: 2x-x=1-5 Which gives: x=-4
HS
Answered by Harry S. • Maths tutor
3327 Views

How do you work out the surface area of a cylinder?

Okay so to work out the surface area of any 3D shape, you should look at the area of every surface on the shape individually. I would then draw a cylinder. First, we can work out the area of this circle ( I ...
ON
Answered by Ollie N. • Maths tutor
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