Answer:
(x+1)(3x^3+2x^2-4x+4)
Step-by-step explanation:
I hope this helps!
Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as , where and .
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
,
This means the maximum volume occurs at .
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
(3x+7)(x-1)=0
3x+7=0
x= -7/3
x-1=0
x=1
Answer:
x + 2.6 = 10.4
x = 7.8
Step-by-step explanation:
If 2.6 liters are added to x liters with the result that 10.4 liters then exist, the model is ...
2.6 +x = 10.4 . . . . . . . 2.6 added to x gives 10.4
The commutative property of addition lets you rewrite this to ...
x +2.6 = 10.4
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Subtracting 2.6 from both sides of the equation gives its solution:
x +2.6 -2.6 = 10.4 -2.6
x = 7.8
Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation: