For Problem 1-8, determine whether the given function is homogeneous of degree zero. Rewrite those that are as functions of the single variable V = y x . f ( x , y ) = x 2 + 4 y 2 − x + y x + 3 y , x , y ≠ 0
For Problem 1-8, determine whether the given function is homogeneous of degree zero. Rewrite those that are as functions of the single variable V = y x . f ( x , y ) = x 2 + 4 y 2 − x + y x + 3 y , x , y ≠ 0
Solution Summary: The author explains that a function f(x,y)=sqrtx2+4y
For Problem 1-8, determine whether the given function is homogeneous of degree zero. Rewrite those that are as functions of the single variable
V
=
y
x
.
f
(
x
,
y
)
=
x
2
+
4
y
2
−
x
+
y
x
+
3
y
,
x
,
y
≠
0
Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy
Given that L(x)=3+5x is the linear approximation of a mysterious function f(x) around the point x=3, determine the values of f(3) and f′(3)
Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x) is −3 ≤ y ≤ 6.
Can you find positive constants A and D so that the range of A(f(x)) + D is 0 ≤ y ≤ 1?
Chapter 1 Solutions
Differential Equations and Linear Algebra (4th Edition)
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