2 years ago

Answer please!! :)

Mathematics

1 answer:

Ivenika [448]2 years ago

7 0

10/1
3/8
7/1
12/3
80/2
_________

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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago

1)2 out of 7 students are boys. about what percent of students are boys? please help me with the question it is due tomorrow!!!!

notka56 [123]

The long answer is <span>28.571428%, but I would round it upwards to make it seem more realistic.</span>

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3 years ago

Let f(x) = twenty-four over the quantity of 3 x minus two. Find f(-2

bija089 [108]

$f(x)=\frac{24}{3x-2}\\\\f(-2)=?\\
Subtitude\ x=-2\\
f(-2)=\frac{24}{3*(-2)-2}=\frac{24}{-6-2}=\frac{24}{-8}=-3\\\\
Solution\ is\ f(-2)=-3.$

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3 years ago

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3 years ago

What is 0.0000001 converted to the tenth power

jenyasd209 [6]

this would look like this: 0.0000001^10

If we were to do 0.0000001*0.0000001 it would be 0.00000000000010

We doubled the zeroes and moved the one up. Continue on until you reach the tenth power.

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3 years ago

Answer please!! :) ​

Answer please!! :)