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notka56 [123]
2 years ago
5

Applications of Differential Equations : Mass-spring system

Mathematics
1 answer:
Leya [2.2K]2 years ago
8 0

Answer:

Step-by-step explanation:

The motion of a certain mass in a spring is described by:

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Answer:3


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3 years ago
Multiple the following:
fredd [130]

Answer:

1.-9x^2

2.16x^4

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Step-by-step explanation:

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The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d
dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5, where x is the selling price of the product, measured in dollars per unit, is:

r = \frac{P(55)-P(50)}{55-50} (1)

Now we evaluate the function at each bound:

x = 50

P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5

P(50) = 11

x = 55

P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5

P(55) = 9.125

Then, the average rate of change is:

r = \frac{9.125-11}{55-50}

r = -0.375

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0
2 years ago
A triangle has an area of 12 square millimeters. What could be the measures of the base and height of the triangle in millimeter
Taya2010 [7]

A = bh/2

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bh = 24

We need to find pairs that multiply to 24

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3 years ago
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Step-by-step explanation:


5 0
3 years ago
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