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11.1 Integrating Standard Functions

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Question 22

The vertical profile of a survey drone is modeled by a curve CCC with equation h=f(t)h = f(t)h=f(t), t>0t > 0t>0, where hhh is the altitude in meters and ttt is the time in seconds. The drone passes through the point P(4,10)P(4, 10)P(4,10).

Given that f′(t)=3t+2−16t2\displaystyle f'(t) = 3\sqrt{t} + 2 - \frac{16}{t^2}f′(t)=3t​+2−t216​

a.

Find the equation of the normal to CCC at PPP. Write your answer in the form at+bh+c=0at + bh + c = 0at+bh+c=0, where aaa, bbb and ccc are integers to be found.

[4]
b.

Find f(t)f(t)f(t).

[4]
Markscheme

11.1 Integrating Standard Functions Questions

  1. A Level
  2. /Maths
  3. /11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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