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The main difference between global and local variables is where they can be used in the program. Using a variable globally means that it WILL suffer changes everytime  its value changes, whether this happ...

Vol = 1/3 pi r^2 h

r = 2n

h = 3n

Therefore

Vol = 1/3.pi.(2n)^2.3n

Vol = 1/3.pi.12n^3

Vol = 4.pi.n^3

For n = 1, the sum is given by (1/2)(1)(1+1), which gives 1, the expected result. We now assume that the statement is true for some k. If we look at k+1, the sum is given by 1 + 2 + ... + k + (k+1). Since...

The function f(x) is a product of 2 functions of x, so when we differentiate it, we need to use the product rule.

The product rule states that for a function f(x) = g(x)*h(x), f'(x) is given by g(x...