The monthly sales for January for a whole foods market was $60,000 and has increased linearly by $2500 per month. The amount in sales f x in $ is given by f x = 60 , 000 + 2500 x , where x is the number of months since January. a. Determine if the function g x = x − 60 , 000 2500 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
The monthly sales for January for a whole foods market was $60,000 and has increased linearly by $2500 per month. The amount in sales f x in $ is given by f x = 60 , 000 + 2500 x , where x is the number of months since January. a. Determine if the function g x = x − 60 , 000 2500 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
The monthly sales for January for a whole foods market was
$60,000
and has increased linearly by
$2500
per month. The amount in sales
f
x
in $
is given by
f
x
=
60
,
000
+
2500
x
,
where x is the number of months since January.
a. Determine if the function
g
x
=
x
−
60
,
000
2500
is the inverse of
f
.
b. Interpret the meaning of function g in the context of this problem.
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
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
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