A solar oven is to be made from an open box with reflective sides. Each box is made from a 30-in. by 24-in. rectangular sheet of aluminium with square of length x (in inches) removed from each corner. Then the flaps are folder up to form an open box. a. Show that the volume of the box is given by V x = 4 x 3 − 108 x 2 + 720 x for 0 < x < 12. b. Graph the function from part (a) and a “maximumâ€� feature on a graphing utility to approximate the length of the sides of the squares that should be removed to maximize the volume. Round to the nearest tenth of an inch. c. Approximate the maximum volume. Round to the nearest cubic inch.
A solar oven is to be made from an open box with reflective sides. Each box is made from a 30-in. by 24-in. rectangular sheet of aluminium with square of length x (in inches) removed from each corner. Then the flaps are folder up to form an open box. a. Show that the volume of the box is given by V x = 4 x 3 − 108 x 2 + 720 x for 0 < x < 12. b. Graph the function from part (a) and a “maximumâ€� feature on a graphing utility to approximate the length of the sides of the squares that should be removed to maximize the volume. Round to the nearest tenth of an inch. c. Approximate the maximum volume. Round to the nearest cubic inch.
Solution Summary: The author illustrates how a solar oven has to be made from an open box with reflective sides. The volume of the box is given by cvolume=lengthtimes width
A solar oven is to be made from an open box with reflective sides. Each box is made from a 30-in. by 24-in. rectangular sheet of aluminium with square of length x (in inches) removed from each corner. Then the flaps are folder up to form an open box.
a. Show that the volume of the box is given by
V
x
=
4
x
3
−
108
x
2
+
720
x
for
0
<
x
<
12.
b. Graph the function from part (a) and a “maximum� feature on a graphing utility to approximate the length of the sides of the squares that should be removed to maximize the volume. Round to the nearest tenth of an inch.
c. Approximate the maximum volume. Round to the nearest cubic inch.
Only 100% sure experts solve it correct complete solutions ok
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
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