3. Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by 10000 C(r) = 120z + - 2000 and the price-demand function is given by p(r) = 1000 2000 + 200r, approximate the profit of producing the 11th unit of phone.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Number 3

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).
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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