NYU Math Worksheet

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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, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y)
= 2 – 2x + 4y – x2 – 4y2
) =
(smaller x value)
(larger x value)
maximum
f(
f
minimum
fc
f(
saddle points
(
(
=
) =
) =
(smaller x value)
(larger x value)
I
) (smallest x value)
) (largest x value)
1
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2.
-/16 POINTS
SESSCALCET1 11.7.004.
MY NOTES
ASK YOUR TEACHER
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
=
1
=
f(x, y) = x3y + 36×2 – 8y
maximum
f(
)
(smaller x value)
f(
(larger x value)
minimum
f
)
(smaller x value)
f(
)
(larger x value)
saddle points
(
) (smallest x value)
(
) (largest x value)
II
1
1
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3
.
-/16 POINTS
SESSCALCET1 11.7.005.
MY NOTES
ASK YOUR TEACHER
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = x4 + y4 – 4xy + 2
)
=
(smaller x value)
(larger x value)
=
maximum
f(
f(
minimum
f(
f(
saddle points
(
(
) =
)
(smaller x value)
(larger x value)
=
1
1
) (smallest x value)
) (largest x value)
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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, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = 7e4y – x2 – y2
maximum
fo
) =
(smaller x value)
fl
.
) =
(larger x value)
minimum
f(
)
=
(smaller x value)
fl
)
(larger x value)
saddle points
(
(
1
) (smallest x value)
) (largest x value)
Need Help?
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Submit Answer
Practice Another Version
-/16 POINTS
SESSCALCET1 11.7.007.
MY NOTES
ASK YOUR TEACHER
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = (4 + xy)(x + y)
) =
= =
(smaller x value)
(larger x value)
maximum
fo
f
minimum
f(
f
saddle points
(
(
) =
(smaller x value)
(larger x value)
) (smallest x value)
) (largest x value)
Need Help?
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-/16 POINTS
SESSCALCET1 11.7.008.
MY NOTES
ASK YOUR TEACHER
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = 2×3 + xy2 + 5×2 + y2 + 1
maximum
1
) =
) =
(smaller x value)
(larger x value)
=
=
1
fc
f
minimum
f(
f
saddle points
(
(
)
) =
(smaller x value)
(larger x value)
1
) (smallest x value, smallest y value)
) (largest x value, largest y value)
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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, graph the function with a domain and viewpoint that reveal all the
important aspects of the function. (Enter NONE in any unused answer blanks.)
f(x, y) = 7(x2 + y2)ex2 – x?
) =
) =
(smaller x value)
(larger x value)
maximum
f
f
minimum
f
f
saddle points
(
(
) =
) =
(smaller x value)
(larger x value)
(smallest x value)
) (largest x value)
Need Help?
Read It
Watch It
Talk to a Tutor

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math

values

graphing

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