## 5.5 Integration

Calculator Allowed: No Question Answer Transcription of this question: 4.[Maximum mark: 6]Let +2. Given that f(2) = 5 , find f (x)

## 5.5 Integration

Calculator Allowed: No Question Answer Transcription of this question: 8.[Maximum mark: 141Consider the function f with second derivative f The graph Of f has a4minimum point at A(2, 4) and a maximum point at B —(a)(b)(c)Use the second derivative to justify that B is a maximum.3Given that f —x: —x + p, show that p2Find […]

## 5.5 Integration

Calculator Allowed: No Question Answer Transcription of this question: 6.[Maximum mark: 61The first set Of axes below shows the graph Of y = f (x) for —4 S S 4 .Let go) = f If (t) dt for —4 < x s 4.(a)(b)State the value Of x at which g(x) is a minimum.On the second […]

## 5.10 Indefinite Integrals

Calculator Allowed: Yes Question Answer Transcription of this question: 3.[Maximum mark: 6]2(a) Find f'(b) Find[21[41

## 5.10 Indefinite Integrals

Calculator Allowed: No Question Answer Transcription of this question: 6.[Maximum mark: 6]The graph Of the function y = f (x) passes through the point 4function Of f is given as —3) . Find f(x)The gradient

## 5.10 Indefinite Integrals

Calculator Allowed: No Question Answer Transcription of this question: 9.[Maximum mark: 141The following diagram shows the graph Of a function f.at A, where x > O.AThe derivative Of f is given by T (x) =There is a local minimum point(a)(b)Find the x-coordinate Of A.The y-intercept Of the graph is at (O, 6) _Find an expression […]

## 5.10 Indefinite Integrals

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]Let f ‘(x) = 6×2—5. Given that f (2) = —3, find f (x).

## 5.10 Indefinite Integrals

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]Given that = 12 , find the value of k.

## 5.10 Indefinite Integrals

Calculator Allowed: No Question Answer Transcription of this question: 6.[Maximum mark: 6]By using the substitution u= I + Ux , find —

## 5.10 Indefinite Integrals

Calculator Allowed: Yes Question Answer Transcription of this question: [Maximum mark: 6]Use integration by parts to find (Inx)2dx .