Derivative with respect to x: 
Derivative with respect to y: 
Derivative with respect to z: 
Step-by-step explanation:
We can calculate three derivatives for this function: the derivative with respect to x, the derivative with respect to y, and the derivative with respect to z.
We start with the derivative with respect to x:

Then we calculate the derivative with respect to y:

Finally, we calculate the derivative with respect to z:

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Answer:
x=500
Step-by-step explanation:
7/10=350/x
cross-multiply by multiplying 350 to 10 and multiply 7 to x.
example:
7•x
350•10
7x=3500
divide both sides by 7
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x=500
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The answer is C
The answer is C because the function form for a linear function is f(x) = ax+b and the answer C has x which is the slope and -3 which would represent the y-intercept also known as b
Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm