your answer to the nearest year.) 32 x yr (c) Using calculus, the point of diminishing returns can be found by finding the vertex of the parabola y = -0.009t2 + 0.278t + 0.459. Find the vertex of this parabola. (Round your answer to two decimal places.) (t, y) (d) Compare your results from parts (b) and (c). the value found in part (b). The t-value of the vertex in part (c) is---Select---
your answer to the nearest year.) 32 x yr (c) Using calculus, the point of diminishing returns can be found by finding the vertex of the parabola y = -0.009t2 + 0.278t + 0.459. Find the vertex of this parabola. (Round your answer to two decimal places.) (t, y) (d) Compare your results from parts (b) and (c). the value found in part (b). The t-value of the vertex in part (c) is---Select---
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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E-Leaming Bensfits and
The growth of a red oak tree is approximated by the function
G = -0.003t3 + 0.139t2 + 0.459t 0.838,
2sts 34
where G is the height of the tree (in feet) and t is its age (in years).
(a) Use a graphing utility to graph the function.
G
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(b) Estimate the age of the tree when it is growing most rapidly. This point is called the point of diminishing returns because the increase in size will be less with each additional year. (Round
your answer to the nearest year.)
32
X yr
(c) Using calculus, the point of diminishing returns can be found by finding the vertex of the parabola
y = -0.009t2 + 0.278t + 0.459.
%3D
Find the vertex of this parabola. (Round your answer to two decimal places.)
(t, y) =
(d) Compare your results from parts (b) and (c).
the value found in part (b).
The t-value of the vertex in part (c) is ---Select---
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