3 years ago

Which statement describes the end behavior of the exponential function f(x)=2^x-3

Mathematics

1 answer:

notsponge [240]3 years ago

6 0

I believe it's A. Hope it helps :)

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olga_2 [115]

Answer:

B is the answer

Step-by-step explanation:

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2 years ago

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3 years ago

Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

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3 years ago

Each of the numbers 1 through 7 is written on a small piece of paper and placed in a box. What is the probability of picking a p

gregori [183]

Answer:

Either C or B I’m not quite sure which one. I’m sorry

Step-by-step explanation:

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2 years ago

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After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets

ZanzabumX [31]

Answer:

B. y-300=4(x-100)

Step-by-step explanation:

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3 years ago