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zhenek [66]
3 years ago
9

Find the integral, using techniques from this or the previous chapter. ∫x/25-9x^2 dx.

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

\frac{x^{2} }{50} - 3x^{3} +C

Step-by-step explanation:

we are to find the integral of  \frac{x}{25} -9x^{2} dx.

we will integrate by using the principle of integration of a sum or difference of two functions by integrating them separately.

∫x/25-9x^2 dx = \frac{x^{2} }{2*25}- 9\frac{x^{3} }{3} +C

                       = \frac{x^{2} }{50}- 3x^{3} +C

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Ivan purchased stock in a company at an initial price of $8 per share. The share value reached $18 after 10 days and then began
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The quadratic equation that best represents his model of the relationship between stock value and time is given by:

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The graph is given at the end of the answer.

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

In this problem, the maximum value was a share value of $18 after 10 days, hence the vertex is:

(h,k) = (10,18).

Thus:

y = a(x - 10)^2 + 18

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Hence the equation is:

y = -0.0976(x - 10)^2 + 18, x \geq 0

At the end of the answer, the sketch of the graph is given.

More can be learned about quadratic equations at brainly.com/question/24737967

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3 years ago
At the start of an experiment , there are 30 bacteria dish. The bacteria population is expected to grow at a rate of 180% each d
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3 years ago
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