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From x : y = 7 : 4 work out an expression for x: x = y (7/4) and substitute into x + y = 88: y(7/4 + 1) = 88y( 11/4) = 88 y = 88 (4/11) = 8 x 4 = 24substitute this into x + y = 88 to get x = 88 - 24 = 64....

sin^2(x) = (1 - cos(2x))/2 and cos^2(x) = (1 + cos(2x))/2so sin^4(x) = 0.25(1 - 2cos(2x) + cos^2(2x)) = 0.25(1 - 2cos(2x) + 0.5 + 0.5cos(4x))integrate = 3x/8 - sin(2x)/4 + sin(4x)/32

Find the lowest common multiple of 2 and 3, which is 6. Multiply each term in the first equation by 3, and each term in the second equation by 2 to produce two equations with the same coefficient of x (wh...

^{1) Find the common factor between 2 and 6 (if there is one)... ...which is 2. 2) Find the common factor between a^2b and ab^2... ...which is ab. 3) Combine...}

You start off with a formula in the form y = x² + bx. The first step is to add the square of half of the coefficient of x: (b/2)². This allows us to rearrange the formula into (x+ b/...