2 years ago

Pa help po pls ASAP plssss

Mathematics

1 answer:

Tom [10]2 years ago

4 0

On A type Fa,La,Do on B Type Mi,So,Ti

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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

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

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3 years ago

Explain how you would solve for the value of x when you are given the solution to a function.

Svetlanka [38]

Answer:

Substitute

Step-by-step explanation:

Substitute the values given in the function

and you will get the answer.

P.s. It depends on the question

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3 years ago

A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Whi

LenKa [72]

Answer:

Step-by-step explanation:

I already did this before

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2 years ago

Factor completely 49x2 − 81. <br> a. (7x 9)2 <br> b. (7x − 9)2 <br> c. (7x 9)(7x − 9) <br> d. 7x − 9

vredina [299]

Use the property
(a -b)(a+ b) = a^2 - b^2

49x^2 - 81 = (7x + 9)((7x - 9)

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3 years ago

Read 2 more answers

Solve each system of equations without graphing.

OlgaM077 [116]

Answer:

t=11/6

u=1/9

Step-by-step explanation:

3 0

2 years ago

Pa help po pls ASAP plssss​

Pa help po pls ASAP plssss