Q#1 a. If the gas in a closed container is maintained at a constant temperature T, the pressure P is related to volume V by a formula of the form NRTV an? P = V – nb dP , in which a, b, n and R are constants. Find dV b The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form (C M R=M where C is positive constant and M is the amount of medicine absorbed in in the blood. If the reaction is a changed in blood pressure, R is measured in millimeters of dR mercury. Find ам Q#2 a. Find equations for the horizontal tangents to the curve y=x²-3x-2. Also find equations for the lines that are perpendicular to these tangents at the point of tangency. b. Find the absolute maximum and absolute minimum values of the given function and say where they are assumed. g(0)=0³, - 32 sOs1
Q#1 a. If the gas in a closed container is maintained at a constant temperature T, the pressure P is related to volume V by a formula of the form NRTV an? P = V – nb dP , in which a, b, n and R are constants. Find dV b The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form (C M R=M where C is positive constant and M is the amount of medicine absorbed in in the blood. If the reaction is a changed in blood pressure, R is measured in millimeters of dR mercury. Find ам Q#2 a. Find equations for the horizontal tangents to the curve y=x²-3x-2. Also find equations for the lines that are perpendicular to these tangents at the point of tangency. b. Find the absolute maximum and absolute minimum values of the given function and say where they are assumed. g(0)=0³, - 32 sOs1
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Q#1
a. If the gas in a closed container is maintained at a constant temperature T, the pressure P is
related to volume V by a formula of the form
NRTV an?
P =
V – nb v?
dP
, in which a, b, n and R are constants. Find
AP
The reaction of the body to a dose of medicine can sometimes be represented by an equation
of the form
(C M`
R = M²
2
where C is positive constant and M is the amount of medicine absorbed in
in the blood. If the reaction is a changed in blood pressure, R is measured in millimeters of
dR
mercury. Find
dM
Q#2
a. Find equations for the horizontal tangents to the curve y=x²-3x-2. Also find equations for the
lines that are perpendicular to these tangents at the point of tangency.
b. Find the absolute maximum and absolute minimum values of the given function and say where
they are assumed.
g(0)=05,
- 32 s0s1
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