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zaharov [31]
3 years ago
8

How do you use the product rule to find the derivative of y=x2⋅sin(x)y=x^2*sin(x) ?

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
(f(x)\cdot g(x))'=f'(x)\cdot g(x)+f(x)\cdot g'(x)\\\\
y=x^2\sin x\\
y'=2x\cdot \sin x+x^2\cdot \cos x\\
y'=x(2 \sin x+x\cos x)
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Which of the following are measurements of the sides of a right triangle?
Anna [14]

the answer is D. all of the above

6 0
4 years ago
To steam rice, Paul uses m cups of water for every p
GenaCL600 [577]

Answer:

\frac{(p + 2)m}{p}

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

<em>The question shows a direct proportion between cups of rice and cups of water.</em>

<em>So, the first step is to get the proportionality constant (k)</em>

<em />

This is calculated using the following expression;

m = k * p

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

k = \frac{m}{p}

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

k = \frac{x}{p + 2}

Equate both expressions of k; to give

\frac{m}{p} = \frac{x}{p + 2}

Multiply both sides by p + 2

(p + 2) * \frac{m}{p} =(p + 2) *  \frac{x}{p + 2}

(p + 2) * \frac{m}{p} =x

x = (p + 2) * \frac{m}{p}

x =  \frac{(p + 2)m}{p}

<em>Hence, the expression that represents the cups of water needed is </em>\frac{(p + 2)m}{p}<em></em>

4 0
3 years ago
60 min is 20%of blank min
enot [183]

Answer:

20% of the number is 60.

100% of the number is therefore (100/20) x 60 = 5 x 60 = 300

Step-by-step explanation:

Explanation:

No further explanation required really!


4 0
3 years ago
Vito has a fair 20-sided die with the faces
Hitman42 [59]

Answer:

15, C

Step-by-step explanation:

Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.

Hope this helped!

~clouddragon

5 0
2 years ago
What is the value of x in the equation 8 + x = 3?<br><br> −5<br> 5<br> 11<br> 24
Dvinal [7]

Answer: 8 + x = 3

To solve for this, we need to get x by itself on one side of the equation.

Currently, we have 8 being added to x, so we need to perform the opposite order of equations to get rid of 8.

The opposite of +8 is -8, so subtract 8.

Remember, if you add, subract, multiply or divide by any new number, you must do it to both sides of the equation.

8 + x = 3

Subtract 8 from both sides.

8 - 8 = 0

3 - 8 = -5

We're now left with:

x = -5

Your answer is A.) -5.

I hope this helps! can u pls give me brainliest

Step-by-step explanation:

3 0
3 years ago
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