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1 Unit 1: Pure Mathematics A

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Question 83

It is given that k k\,k is a positive constant and that ∫1k(32x+9)dx=8\displaystyle\int_1^k\left(\dfrac{3}{2\sqrt{x}} + 9\right)dx = 8∫1k​(2x​3​+9)dx=8

a.

Show that 9k+3k−20=09k + 3\sqrt{k} - 20 = 09k+3k​−20=0.

[4]
b.

Hence, using algebra, find the value of kkk.

[4]
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1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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