Marks write your answer to each of the following

This preview shows page 1 - 3 out of 9 pages.

1.[8marks]Write your answer to each of the following questions in the space provided.No justi°cationis necessary.(a) The graph of the derivative,f0(x),of a functionf(x)is given below.-3-2-112345Determine all the values ofxon the interval[±3;5]for whichfhas a relative minimum.
(c) When evaluating the limit expressionlimx!af(x)g(x), which of the following are indeterminateforms?(Circle your answer(s).)111001001011
!
1
2.[7marks]Evaluate each of the following limits.(a)limx!°14±x6±px2+ 20(b)limx!0+(sinx)x3.[8marks]Use the Intermediate Value Theorem to show that the equationsin (x)±2x= 1±1p2has at least one solution in the open interval²³.Then use Rolle±s Theorem to prove that, infact, the equation has exactly one solution.

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture