Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6. (a) Find the critical values of this function. (Assume −∞ < t < ∞. Enter your answers as a comma-separated list.) t = (b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.) t = (c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6. (a) Find the critical values of this function. (Assume −∞ < t < ∞. Enter your answers as a comma-separated list.) t = (b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.) t = (c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is
y = 44t + 0.5t2 − t3, 0 ≤ t ≤ 6.
(a) Find the critical values of this function. (Assume
(b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.)
(c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
−∞ < t < ∞.
Enter your answers as a comma-separated list.)t =
(b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.)
t =
(c) For which values of t, for 0 ≤ t ≤ 6, is y increasing? (Enter your answer using interval notation.)
(d) Graph this function.
The t y-coordinate plane is given. The curve starts at the origin, goes up and right becoming more steep, passes through the approximate point (0.17, 7), goes up and right becoming less steep, changes direction at the point (4, 120), goes down and right becoming more steep, and ends in the first quadrant.
The t y-coordinate plane is given. The curve starts at the origin, goes up and right becoming less steep, changes direction at the approximate point (2.07, 70), goes down and right becoming more steep, and ends at approximately t = 3.67 on the positive t-axis.
The t y-coordinate plane is given. The curve starts at the origin, goes up and right becoming less steep, changes direction at the approximate point (2.07, 140), goes down and right becoming more steep, and ends at approximately t = 3.67 on the positive t-axis.
The t y-coordinate plane is given. The curve starts at the origin, goes up and right becoming more steep, passes through the approximate point (0.17, 4), goes up and right becoming less steep, changes direction at the point (4, 60), goes down and right becoming more steep, and ends in the first quadrant.
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