OCR MEI C2 2009 June — Question 8 5 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicIndefinite & Definite Integrals
TypeFind curve from gradient
DifficultyModerate -0.8 This is a straightforward integration question requiring only the power rule for √x and integration of a constant, followed by substituting one point to find the constant of integration. It's easier than average as it involves routine application of basic integration techniques with no complications.
Spec1.07i Differentiate x^n: for rational n and sums1.08a Fundamental theorem of calculus: integration as reverse of differentiation
8 The gradient of a curve is \(3 \sqrt { x } - 5\). The curve passes through the point ( 4,6 ). Find the equation of the curve.
Question 8:
AnswerMarks Guidance
Answer/WorkingMark Guidance
Attempt to integrate \(3\sqrt{x} - 5\)M1
\([y=]\ 2x^{\frac{3}{2}} - 5x + c\)A2 A1 for two terms correct
Substitute \((4, 6)\) in their integrated equationM1
\(c = 10\) or \([y=]\ 2x^{\frac{3}{2}} - 5x + 10\)A1 
# Question 8:

| Answer/Working | Mark | Guidance |
|---|---|---|
| Attempt to integrate $3\sqrt{x} - 5$ | M1 | |
| $[y=]\ 2x^{\frac{3}{2}} - 5x + c$ | A2 | A1 for two terms correct |
| Substitute $(4, 6)$ in their integrated equation | M1 | |
| $c = 10$ or $[y=]\ 2x^{\frac{3}{2}} - 5x + 10$ | A1 | | **[5]** |

---
8 The gradient of a curve is $3 \sqrt { x } - 5$. The curve passes through the point ( 4,6 ). Find the equation of the curve.

\hfill \mbox{\textit{OCR MEI C2 2009 Q8 [5]}}
This paper (12 questions)
View full paper
Q1 2 Q2 4 Q3 3 Q4 4 Q5 5 Q6 5 Q7 5 Q8 5 Q9 3 Q10 12 Q11 12 Q12 12