1. Use a local linear approximation of the function f(r) = Vr cos[(V2.x)7] approximate v3.98 cos[(V7.96)a]. at some point ro to %3D
1. Use a local linear approximation of the function f(r) = Vr cos[(V2.x)7] approximate v3.98 cos[(V7.96)a]. at some point ro to %3D
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
Number 1
![1. Use a local linear approximation of the function f(x) = Vr cos[(V2r)7] at some point xo to
approximate v3.98 cos[(V7.96)7].
2. Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance
(in meters) from his starting point after t seconds is given by f(t) = 2t3 – 17t2 + 48t – 15.
(a) At any time t, find his rate of acceleration.
(b) Find the time to if to is the first instance that he changed direction.
(c) At t = 1, determine if Sheldon is speeding up or slowing down.
3. Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by
10000
C(r) = 120r +
2000
and the price-demand function is given by
p(r) = 1000
2000
+ 200r,
approximate the profit of producing the 11th unit of phone.
4. Use L'Hopital's rule to evaluate
lim (1 – 2 sinh(r))sch(2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdeba22f5-dd0e-49fb-9728-3cf8539e96bb%2Fe5bea57e-cbf6-438c-9097-d6d213514acf%2Fcxrhs4om_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Use a local linear approximation of the function f(x) = Vr cos[(V2r)7] at some point xo to
approximate v3.98 cos[(V7.96)7].
2. Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance
(in meters) from his starting point after t seconds is given by f(t) = 2t3 – 17t2 + 48t – 15.
(a) At any time t, find his rate of acceleration.
(b) Find the time to if to is the first instance that he changed direction.
(c) At t = 1, determine if Sheldon is speeding up or slowing down.
3. Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by
10000
C(r) = 120r +
2000
and the price-demand function is given by
p(r) = 1000
2000
+ 200r,
approximate the profit of producing the 11th unit of phone.
4. Use L'Hopital's rule to evaluate
lim (1 – 2 sinh(r))sch(2).
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