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nlexa [21]
3 years ago
10

For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Step-by-step explanation:

Consider a function

f

(

x

)

which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.

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Over a certain region of space, the electric potential is V = 4x − 7x2y + 7yz2. Find the expressions for the x, y, z components
Tju [1.3M]

Answer:

Ex = - 4 + 14xy

Ey = 7x² - 7z²

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Step-by-step explanation:

The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:

Er(x, y, z) = -dV/dr(x, y, z)

Where r(x, y, z) = distance in x, y and z components.

The x component of the electric field is:

Ex = -dV/dx

Given that:

V = 4x - 7x²y + 7yz²

Ex = -dV/dx

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Ex = -4 + 14xy

The y component of the electric field is:

Ey = -dV/dy

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Ey = 7x² - 7z²

The z component of the electric field is:

Ez = -dV/dz

Ez = -(14yz)

Ez = -14yz

8 0
3 years ago
10y+15=7y+45<br> what does y equal
Gnom [1K]

Answer:

10

Step-by-step explanation:

10y+15=7y+45

10y-7y=45-15

3y=30

y=10

hope it helps you!

6 0
3 years ago
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