Zero average value Find the value of a > 0 such that the average value of the following functions over R = { ( x , y ) : 0 ≤ x ≤ a , 0 ≤ y ≤ a } is zero. 53. f ( x , y ) = 4 − x 2 − y 2
Zero average value Find the value of a > 0 such that the average value of the following functions over R = { ( x , y ) : 0 ≤ x ≤ a , 0 ≤ y ≤ a } is zero. 53. f ( x , y ) = 4 − x 2 − y 2
Solution Summary: The author explains that the value of a is sqrt6. The integrable function satisfies the given condition.
Zero average valueFind the value of a > 0 such that the average value of the following functions over
R
=
{
(
x
,
y
)
:
0
≤
x
≤
a
,
0
≤
y
≤
a
}
is zero.
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
Chapter 13 Solutions
Student Solutions Manual, Single Variable for Calculus: Early Transcendentals
College Algebra with Modeling & Visualization (5th Edition)
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