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The lengths of a right angle triangle can be summarised as follows: the sum of the lengths of the two shorter sides squared (the sides which vertice connect forms the right angle) is equal to square of the l...

3y 2 + 10y + 33y 2 = 3 * 1(3y + n) * (y + r)n * r = 3 hence to try whole numbers first n = 1 or 3 meaning r = 3 or 1 respectivey * n + 3y * r = 10yif n =1 and r = 3 then equivalent is 10y (correct)as all val...

Use implicit differentiation 1) 8x - 3y^2 dy/dx - 4y - 4x dy/dx +2^y*ln2 * dy/dx = 0 You then sub in the points P (-2,4) 2) 8(-2) - 3(4)^2 *dy/dx - 4(4) - 4(-2) *dy/dx + 2^(4) *ln2 * dy/dx = 0 Rearrange to g...

n > 1, n <4.rearrange equations.use the quadratic formula to solve the second equation. look at the boundaries set and formalise which are the answer.

Let a^b >b^a, then blna>alnb, (lna)/a > (lnb)/b, Thus we graph the function (lnx)/x, We can see that this tends towards 0 as x tends towards infinity. We can also see that it is increasing from x=0 ...