Use a graphing device as in Example 4 (or Newton’s method or solve numerically using a calculator or computer) to find the critical points of f correct to three decimal places. Then classify the critical points and find the highest or lowest points on the graph, if any. 30. f ( x , y ) = 20 e − x 2 − y 2 sin 3 x cos 3 y , | x | ≤ 1, | y | ≤ 1
Use a graphing device as in Example 4 (or Newton’s method or solve numerically using a calculator or computer) to find the critical points of f correct to three decimal places. Then classify the critical points and find the highest or lowest points on the graph, if any. 30. f ( x , y ) = 20 e − x 2 − y 2 sin 3 x cos 3 y , | x | ≤ 1, | y | ≤ 1
Solution Summary: The author explains that if the second partial derivatives of f are continuous on a disk with center (a,b), the highest or lowest point is approximately at
Use a graphing device as in Example 4 (or Newton’s method or solve numerically using a calculator or computer) to find the critical points of f correct to three decimal places. Then classify the critical points and find the highest or lowest points on the graph, if any.
30.
f
(
x
,
y
)
=
20
e
−
x
2
−
y
2
sin
3
x
cos
3
y
,
|x| ≤ 1, |y| ≤ 1
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
Chapter 14 Solutions
Calculus: Early Transcendentals, Loose-Leaf Version
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