Complete the squares and locate all absolute maxima and minima , if any, by inspection. Then check your answers using calculus. f x , y = 13 − 6 x + x 2 + 4 y + y 2
Complete the squares and locate all absolute maxima and minima , if any, by inspection. Then check your answers using calculus. f x , y = 13 − 6 x + x 2 + 4 y + y 2
Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check your answers using calculus.
f
x
,
y
=
13
−
6
x
+
x
2
+
4
y
+
y
2
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
Fill in the y values and first differences given the
column of x values for the function -3x + 8. Then sketch
the graph.
0
1
N
3
TH
4
5
y
First Differences
Find the value of x.
Complete the table for the quadratic function below. Type the value of y that
corresponds with each value of x.
y = 2(x - 3)2 - 2
x y= 2(x - 3) – 2
1
4
2.
3.
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