With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called the diastolic pressure. When a doctor records an individual’s blood pressure such as "120 over 80,â€� it is understood as "systolic over diastolic." Suppose that the blood pressure for a certain individual is approximated by p t = 90 + 20 sin 140 π t where p is the blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins. a. Find the period of the function and interpret the results. b. Find the maximum and minimum values and interpret this as a blood pressure reading, c Find the times at which the blood pressure is at its maximum.
With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called the diastolic pressure. When a doctor records an individual’s blood pressure such as "120 over 80,â€� it is understood as "systolic over diastolic." Suppose that the blood pressure for a certain individual is approximated by p t = 90 + 20 sin 140 π t where p is the blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins. a. Find the period of the function and interpret the results. b. Find the maximum and minimum values and interpret this as a blood pressure reading, c Find the times at which the blood pressure is at its maximum.
With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called the diastolic pressure. When a doctor records an individual’s blood pressure such as "120 over 80,� it is understood as "systolic over diastolic." Suppose that the blood pressure for a certain individual is approximated by
p
t
=
90
+
20
sin
140
π
t
where
p
is the blood pressure in mmHg (millimeters of mercury) and
t
is the time in minutes after recording begins.
a. Find the period of the function and interpret the results.
b. Find the maximum and minimum values and interpret this as a blood pressure reading,
c Find the times at which the blood pressure is at its maximum.
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
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