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Solve 5x – 2 > 3x + 11.

We need to solve this inequality to find the value that x could be greater or less than. First, we need to find the smallest positive x value, which is 3x. Then, we minus 3x from both sides, so only one s...

Answered by Rebecca M. Maths tutor
5746 Views

In this question, take 'log' to mean 'log base 5'. Solve the equation log(x^2-5)-log(x) = 2*log(2)

Note that you can not take a positive base log of a negative number.  log5(x2-5) - log5(x) = 2log5(2) => log5((x2-5)/x) = log5

Answered by Milan L. Maths tutor
3016 Views

Solve the

5

Answered by Milan L. Maths tutor
3164 Views

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=...

Answered by Stefanie B. Maths tutor
3963 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(...

Answered by Ian C. Maths tutor
3474 Views

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