Figure 2 Figure 2 shows the curve y = 3x² - 12x which meets the x- axis at the origin and at (4,0). The line xk is also shown. The shaded area is bounded by the curve y = 3x² - 12x, the line x = k and the x-axis. This shaded area is equal to k³ units². Find the value of k. Give your answer in the form where p and q are integers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question 11
(a)
O
१४
y = 3x² - 12x
x = k
IZ
(4,0)
Figure 2
-
Figure 2 shows the curve y = 3x² - 12x which meets the x-
origin and at (4, 0).
The line x = k is also shown.
axis at the
The shaded area is bounded by the curve y = 3x² - 12x, the line x = k and
the x-axis. This shaded area is equal to k³ units².
Find the value of k. Give your answer in the form where p and q are
integers.
Transcribed Image Text:Question 11 (a) O १४ y = 3x² - 12x x = k IZ (4,0) Figure 2 - Figure 2 shows the curve y = 3x² - 12x which meets the x- origin and at (4, 0). The line x = k is also shown. axis at the The shaded area is bounded by the curve y = 3x² - 12x, the line x = k and the x-axis. This shaded area is equal to k³ units². Find the value of k. Give your answer in the form where p and q are integers.
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