Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Typical blood pressure is, which means the systolic blood pressure is 120 mmHg and diastolic blood pressure 80 mmHg. Assuming that a person’s heart beats 70 times per minute, the blood pressure P of an individual after t seconds can be modelled by the function P ( t ) = 20 sin ( 7 3 π t ) + 100 Graph this function for two periods.
Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Typical blood pressure is, which means the systolic blood pressure is 120 mmHg and diastolic blood pressure 80 mmHg. Assuming that a person’s heart beats 70 times per minute, the blood pressure P of an individual after t seconds can be modelled by the function P ( t ) = 20 sin ( 7 3 π t ) + 100 Graph this function for two periods.
Solution Summary: The author compares the equation P(t)=20mathrmsin(73pi t)+100 with the general sine function f
Blood Pressure Blood pressure is a way of measuring the amount of force exerted on the walls blood vessels. It is measured using two numbers: systolic (as the heart beats) blood pressure and diastolic (as the heart rests) blood pressure. Typical blood pressure is, which means the systolic blood pressure is
120
mmHg and diastolic blood pressure
80
mmHg. Assuming that a person’s heart beats
70
times per minute, the blood pressure
P
of an individual after t seconds can be modelled by the function
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
Chapter 5 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)
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