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z = 3x(x+y)³ - x³ + 24xDifferentiating partially with respect to x and with respect to y:∂z/∂x = 3(x+y)³ + 9x(x+y)² - 3x² + 24∂z/∂y = 9x(x+y)^2<...

This question asks us to find the cartesian equation of l.
First we must find the points P and Q. To do this we substitute t with 1/4 to find P and substitute t with 2 to find Q.Doing this we get the...

Question7. A complex number z is given by z = a + 2i where a is a non-zero real number. (a) Find z2 + 2z in the form x + iy where x and y are real expressions in terms of a. (4) Given that z2 + 2z is real...

Let X be the random variable for this question. P(X=x) = 1/3 for all x. When X=x, we have that it took x times for us to retrieve the correct key.Thus, we have the infinite sum 1/3 + 22/31/3 + 3*...

Getting a complicated problem of a mass being projected at a weird angle can seem daunting at first but these problems can be solved easily by breaking them down into two simpler problems.Using trigonomet...