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3 years ago

QUESTION 4

Mathematics

1 answer:

Artemon [7]3 years ago

5 0

Answer:

Step-by-step explanation:

30+25+5+6 = 66.

There are 66 students in the class.

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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 $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

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3 years ago

I need help with a word problem. Picture is below. Please help.

mars1129 [50]

I hope this helps you

2x+pi. x

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3 years ago

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Mice21 [21]

Answer:

$12 \leqslant x < 26$

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3 years ago

If there are 5 boys and 7 girls, write the ratio of girls to total students

Marizza181 [45]

Answer:

7:12

Step-by-step explanation:

boys=5

girls=7

total=boys+girls

12=5+7

girls:total

7:12

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2 years ago

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