4. A model for the weight of a lizard is described by the differential equation dW 1 -=(80-W) where W(t) measures the weight of the lizard, in grams, at time t, in 5 dt weeks. At time t = 0, the lizard weighs 30 grams. a.) Use the tangent line to the graph of W(t) at the point (0, 30) to approximate the weight of the lizard at time t = 1. d²W to determine whether the approximation found in part (a) is an dt² b.) Find d²W in terms of W. Use dt² overestimate or an underestimate. Explain your reasoning. c.) Find the particular solution y = W(t) with initial condition W(0) = 30.
4. A model for the weight of a lizard is described by the differential equation dW 1 -=(80-W) where W(t) measures the weight of the lizard, in grams, at time t, in 5 dt weeks. At time t = 0, the lizard weighs 30 grams. a.) Use the tangent line to the graph of W(t) at the point (0, 30) to approximate the weight of the lizard at time t = 1. d²W to determine whether the approximation found in part (a) is an dt² b.) Find d²W in terms of W. Use dt² overestimate or an underestimate. Explain your reasoning. c.) Find the particular solution y = W(t) with initial condition W(0) = 30.
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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Topic 7.8 - Exponenti...
4. A model for the weight of a lizard is described by the differential equation
dW 1
(80-W) where W(t) measures the weight of the lizard, in grams, at time t, in
dt 5
weeks. At time t = 0, the lizard weighs 30 grams.
a.) Use the tangent line to the graph of W(t) at the point (0, 30) to approximate the
weight of the lizard at time t = 1.
b.) Find
d²W
d²W
in terms of W. Use
to determine whether the approximation found in part (a) is an
dt²
dt²
overestimate or an underestimate. Explain your reasoning.
c.) Find the particular solution y = W(t) with initial condition W(0) = 30.
5. The silvery blue-green coloring of the Colorado spruce makes it a perfect
Christmas tree. For a tree farmer in Indiana, when a seedling is planted, at time
t = 0, the height of the tree is 1 foot. If h(t) is the height of the tree, in feet, at
time t years after it is planted, then the rate of growth is proportional to the
siffan
ht 10 fast
haight and in
5
Dashboard
000
000
Calendar
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