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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.

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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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