Answered: Analysis of daily output of a factory…

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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Question

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 =

(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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