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2 years ago

Umm... I need someone to talk too! Please if anyone is willing to talk to me, it's really important! Thanks!

Mathematics

1 answer:

Alexus [3.1K]2 years ago

3 0

Answer:

hiiii

Step-by-step explanation:

I'm here if anything!!! :)

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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

Find the equation of the line.

Grace [21]

Answer:

m: $-\frac{1}{3}$

Step-by-step explanation:

Pick two points (0,5) and (3,4)

use the formula to find slope: $\frac{y2-y1}{x2-x1}$

Insert values: $\frac{4-5}{3-0}$

m: $-\frac{1}{3}$

:-)

7 0

2 years ago

The play cost $2,600.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket pro

Natasha2012 [34]

Answer:

4,810

Step-by-step explanation:

$10 per ticket times 741 people (10 * 741) is 7,410, then subtract the cost to produce the play, 7,410 - 2600 = 4,810.

5 0

2 years ago

A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from

Len [333]

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet

According to trigonometry rule make 30 degree angle

$tan\left ( 30\ \right )^{o}=\frac{p}{b}$

$\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )$

$x\sqrt{3}=22$

than

$x=\frac{22}{\sqrt{3}}$

$=12feet$ $8 inch$ answer

3 0

3 years ago

Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of

Rina8888 [55]

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

5 0

2 years ago