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Find dy/dx such that y=(e^x)(3x+1)^2.

We will solve this question with the knowledge that dy/dx = u.(dv/dx) + v.(du/dx), where y=u.v We have y=e^x(3x+1)^2. First, we want to find u & v. By splitting the function, we have that u=e^x and v=(3x...
SB
Answered by Stefanie B. • Maths tutor
4890 Views

Show that 2tan(th) / (1+tan^2(th)) = sin(2th), where th = theta

We have 2tan(th) / (1 + tan^2(th)) = sin(2th) We know that tan(A) = sin(A) / cos(A), and 1 + tan^2(A) = sec^2(A) Therefore => (2sin(th) / cos(th)) / sec^2(th) => 2sin(th)*cos^2(th) / cos(th) => 2sin...
IC
Answered by Ian C. • Maths tutor
4185 Views

Answering Oxbridge medical questions: water regulation by the kidneys

Oxbridge medical questions look for 'how you think' rather than knowledge above A-level standard. For a particular topic, they may start on A-level material to warm you up, and then ask follow-up questions t...
MA
2590 Views

Use logarithms to solve the equation 3^(2x+1) = 4^100

We have 3^(2x+1) = 4^100 => log(3^(2x+1)) = log(4^100) => (2x+1)log(3) = 100log(4)
IC
Answered by Ian C. • Maths tutor
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There are 3 red beads and 1 blue bead in a jar. A bead is taken at random from the jar. what is the probability that the bead is blue?

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DM
Answered by Daniel M. • Maths tutor
9900 Views