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3 years ago

HELP PLEASEEEE!!!!! [Easy]

Mathematics

1 answer:

Zigmanuir [339]3 years ago

4 0

Answer: 120

Step-by-step explanation:

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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

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

4 0

3 years ago

Solve this Inequality 1 > -1 - w

Rom4ik [11]

Answer:

$\displaystyle -2 < w$

Step-by-step explanation:

1 > −1 - w

+ 1 + 1

________

$\displaystyle \frac{2}{-1} > \frac{-w}{-1} \\ \\ -2 < w$

Whenever you divide\multiply by a <em>negative</em>, you reverse the inequality symbol.

I am joyous to assist you anytime.

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3 years ago

Suppose the number of children in a household has a binomial distribution with parameters n-8 and p-50%. Find the probability of

Goshia [24]

Answer:

Step-by-step explanation:

Given that the number of children in a household has a binomial distribution with parameters n-8 and p-50%

As per binomial definition we have

$P(X=r) = nCr p^r q^{n-r}$

= $8Cr (0.5)^r (0.5)^{n-r} \\=8Cr(0.5)^8$

a) P(x=3 or 7) = P(3)+P(7) = 0.2188+0.0313=0.2501

b) P(X≤5)=0.8555

c) P(X≥3)=0.8555

d) P(x<7) =0.9648

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3 years ago

Help me solve the out and inputs of the table

velikii [3]

The in is -5 the out for 7 is -21 the out for -3 is 9the infor 15 is -5 the out for -10 is 30

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3 years ago

Can you help me with this?

satela [25.4K]

I cant hardly see it ,what's the question?

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3 years ago