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Otrada [13]
4 years ago
7

If y = x3 + 3x2 + 5, what is dy/dx

Mathematics
2 answers:
gladu [14]4 years ago
7 0
Please, use " ^ " to denote exponentiation:  <span>y = x^3 + 3x^2 + 5

Then the derivative of y with respect to x is  dy/dx = 3x^2 + 6x  (answer)

You could also write this result as dy/dx = 3x(x+6).

</span>
____ [38]4 years ago
6 0
We need to find the derivative of that equation with respect to x.  The derivative of x^3 is 3x^2, the derivative of 3x^2 is 6x, and the derivative of any constant is always 0.  Use the power rule for derivatives that says \frac{dy}{dx}( x^{n})=n*x ^{n-1}.  Our derivative, then, is 3x^2+6x.
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Two functions, function A and function B, are shown below:
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The correct answer is:
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Cal’s dog is 60 weeks old. Jin’s dog is 1 year old. Which is the greater amount of time
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I'm solving for x, but I'm not confident with my work. I feel like x should be smaller than the other side (121) but I got a res
sergejj [24]

You have the ratios set up but you need to cross multiply everything:

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3 0
3 years ago
Need help with 19&amp;21
olga_2 [115]

Hello!

To solve questions 19 and 21, firstly, we need to convert the percentages to decimals. There are two ways to convert them.

  1. The first way is to divide the percentage by 100 because <u>all</u> percentages are out of 100.
  2. The second way is to move the decimal place two times to the left, in which case, it is the same thing as dividing by 100.

After finding the converted percentage, you multiply the cost by that decimal. That will be your final answer according to the problem, but that is not true in some cases (like number 19).  

19). Sales Tax

We are given a Digital Assistant priced at 399 dollars. We are finding the total price including the sales tax, so we need to add the total price and the sales tax together.

7.75 / 100 = 0.0775

399 × 0.0775 = 30.9225 | This can be rounded to about 30.92 dollars.

399 + 30.92 = 429.92 dollars

The total price including the sales tax is 429.92 dollars.

21). Women in the Navy

Given that there is a 335-person crew, and of which, 13% are female, we need to find how much females are on the navy guided-missile destroyer.

13 / 100 = 0.13

335 × 0.13 = 43.55

Since we are working with humans, we need to round it to a whole number.

Therefore, there are about 44 crew members that are women.

<u>Final answers</u>:

  1. 429.92 dollars
  2. 44 women
8 0
3 years ago
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