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Travka [436]
3 years ago
8

3. David is sharing his

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Answer:x has to be greater than or equal to 64 baseball cards

Step-by-step explanation:

16 cards multiplied 4 times equal 64 with is the minimum number of cards given to his friends

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Hello everyone how are ya‘ll help plz<br><br> 23x+4=30
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Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

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4 years ago
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
FinnZ [79.3K]
The correct answer is B

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Answer:

New England had skilled craftsmen in the industry of shipbuilding. The Mid-Atlantic presented a diverse workforce of farmers, fisherman, and merchants. The Southern Colonies were primarily agricultural with few cities and limited schools.

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