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First recall the suvat equation: v^2=u^2+2as.
It is always handy to draw a diagram in physics to illustrate the problem.
Next, using u=5, a=10, s = 10, solve for v in the suvat equation, arrivi...

t Using the fact that d/dx ( ln g(x)) = g'(x)/g(x), we can see that the integral of this function will be an ln function. From observing f(x) we see that if the answer was ln(4x-1) then f(x) would need to...

Let m be the number of males. Let f be the number of females.
(1/3)m + (1/4)f = 66      (1)
m = 2f                   (2)
(1/3) * 2f + (1/...

We are dealing with a geometric sequence here, we will therefore focus on the geometric sequence formulas that are given in the math HL formula booklet. The first part of the information we are given stat...

Label each equation:2x + y = 18 (1)x - y = 6 (2)Since the y's have the same coefficient (ignoring the signs) you want to cancel the y's to leave just an equation with x.add (1) to (2):3x = 24Then rearrang...