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3 years ago

Which of the following represents a function?

Mathematics

1 answer:

Molodets [167]3 years ago

5 0

What are the functions?

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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

Andrew asked every tenth person at the mall how old they are. What type of sample did he form?

NARA [144]

Answer:

it is a convenience sample

Step-by-step explanation:

6 0

3 years ago

Select all expressions shown that are equivalent to

Murrr4er [49]

Answer:

A. and C.

if you simplify the expressions, you will see which ones are equal to the expression given

4 0

2 years ago

Find the diameter of a circle with an area of 6767 square centimeters.

scZoUnD [109]

Area=6767cm²

Diameter be d

Radius be r

πr²=6767
r²=6767/π
r²=2155
r=46.4cm

Diameter=2r=46.4(2)=92.8cm

6 0

2 years ago

Read 2 more answers

If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of th

Andreas93 [3]

Answer:

9.74 feet

Step-by-step explanation:

the formula for finding a hypotenuse is $a^{2} + b^{2} = c^{2}$ . We can rearrange that to get: $c^2 - b^2 = a^2$ . So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.

8 0

3 years ago