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Mars2501 [29]
3 years ago
14

Second derivative test for: y= e^x (x^2 -7x +13)

Mathematics
1 answer:
garik1379 [7]3 years ago
4 0
First derivative is e^x(x^2-7x+13)+e^x(2x-7)
Which can be simplified to e^x(x^2-7x+13+2x-7)
Second derivative is e^x(x^2-5x+6)+e^x(2x-5)
Which then can be simplified to e^x(x^2-3x+1)
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abruzzese [7]

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

<h3>How to model the salary growth?</h3>

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

Evaluate the sum

y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

Read more about exponential functions at:

brainly.com/question/11464095

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1 year ago
An___ graph consists of distinct, isolated points
Bess [88]

Answer:

I believe the answer is a Discrete graph.

Step-by-step explanation:

Hope my answer has helped you and if not then I am sorry.

4 0
3 years ago
How would I solve this agai n
Svetllana [295]

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The area is 35 inches

Step-by-step explanation:

You will need to cut the shape into 3 parts

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3 0
2 years ago
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The human population of the earth can be modeled by p(T)=3.1(1.016)^t , where T represents the number of year since 1963 , and p
Mkey [24]

Answer:

  • See below

Step-by-step explanation:

<u>Given function:</u>

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A.

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2 years ago
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vovangra [49]

Answer:

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