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The formula to find the cosine of the angle is: cosA= u.v/|u|x|v|; 1.u.v means that you multiply the x coordinates together, then the y coordinates and the z coordinates,...

In this question, you are being asked to show L1 and L2 are parallel. The equations of two parallel lines will have the same gradient. This is the number in front of the x term in the equation, but to com...

Use laws of logarithms to simplify.Log₃((9y+b)/(2y-b)) = 2(9y+b)/(2y-b) = 3²(9y+b) = 9(2y-b)9y+b = 18y-9bCollect terms.9y = 10by = 10b/9

To expand, you would multiply each term in the first bracket set by each term of the second bracket set. Thus, your expansion would mean:3a^2 -6ab + ab -2b^2
To simplify, note that there are two 'ab'...

p=4pi² differentiating with respect to y we have dx/dy = 2(4y-sin2y)(4-2cos2y) substituting in the value of y =pi/2 we have dx/dy = 24pi, which means dy/dx =1/pi24using (y-y_1)=m(x-x_1) we have...