The monthly sales of winter coats follow a periodic cycle with sales peaking late in the year and before the winter holidays. The monthly sales total S in $1000 is given by s t = 350 cos π 6 t + π 6 + 500 where t is the month number t = 1 corresponds to January . a. Write the range of this function in interval notation. b. During which months 0 ≤ t ≤ 12 are sales at their maximum? c. During which months 0 ≤ t ≤ 12 are sales at their minimum? d. In which months, between 1 and 12 inclusive, are the sales $ 675 , 000 ?
The monthly sales of winter coats follow a periodic cycle with sales peaking late in the year and before the winter holidays. The monthly sales total S in $1000 is given by s t = 350 cos π 6 t + π 6 + 500 where t is the month number t = 1 corresponds to January . a. Write the range of this function in interval notation. b. During which months 0 ≤ t ≤ 12 are sales at their maximum? c. During which months 0 ≤ t ≤ 12 are sales at their minimum? d. In which months, between 1 and 12 inclusive, are the sales $ 675 , 000 ?
The monthly sales of winter coats follow a periodic cycle with sales peaking late in the year and before the winter holidays. The monthly sales total
S
in $1000
is given by
s
t
=
350
cos
π
6
t
+
π
6
+
500
where
t
is the month number
t
=
1
corresponds to January
.
a. Write the range of this function in interval notation.
b. During which months
0
≤
t
≤
12
are sales at their maximum?
c. During which months
0
≤
t
≤
12
are sales at their minimum?
d. In which months, between
1
and
12
inclusive, are the sales
$
675
,
000
?
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%
Elementary Statistics: Picturing the World (7th Edition)
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