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First step: n=1 we have 8¹ -1=7 which is divisible by 7. Assumption step: 8^k-1 is divisible by 7. Induction step: Using the previous step we have that 8^k-1=7x. So 8^k<...

Using the general rule d/dx(a*x^n) = a *n * x^(n-1) and the linearity of the derivative operator, we obtain:
6x^5+20x^3+0 = 6x^5+20x^3

Introduction Shakespeare creates dramatic tragedy in the passage through Lear’s fatal decision to ‘divide in three our kingdom’. The irony of Lear’s action is heavy and the passage...

Draw a diagram of the graph y=sin x between the stated interval. Identify the two extrema. Required interval is in between the two points.

This opening is one of a few standard question stems that exam boards use when phrasing questions. Other question stems may include 'How far do you agree', or 'Discuss how...' etc. To answer a question t...