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Gnesinka [82]
3 years ago
7

-8 ( r + 6 ) = 7 ( r + 6 ) solve the equation

Mathematics
1 answer:
tangare [24]3 years ago
5 0


r=-6  

You have to use distributive property and multiply parentheses

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Write an exponential function in the form of y=ab^x passing through the points (0,6) and (2,96)
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7 0
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Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,
grandymaker [24]

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There is no saddle point (DNE). However, there is local maximum at (1, 1/2) for the given function.

Explanation:

we have function of two variables f(x,y)= 9-2x+4y-x^2-4y^2

we will find the values by partial derivative with respect to x,y,xy

f_{x}= -2 -2x

f_{y}= 4 -8y

to find the saddle point we should first find the critical points so equate

-2 -2x=0 and   4 -8y=0

we get x= 1  and y =1/2 so, critical points are (1,1/2)

to find local maximum or minimum we have to find f_{xx},  f_{yy} and f_{xy}

formula is f_{xx} *f_{yy} - f^{2_{xy} } =0

f_{xx} = -2

f_{yy} = -8

f^{2_{xy} } =0

putting values in formula

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so, here we have local maximum

we have no saddle point for this function by using the same formula we used to find extrema.



4 0
3 years ago
Read 2 more answers
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