Find u(x,y) harmonic in the region in the first quadrant bounded
by y = 0 and y = √3 x such that u(x, 0) = 13 for all x and u(x,y) =
7 if y = √3 x . Express your answer in a form appropriate for a
real variable problem.
(1 point) The region in the first quadrant bounded by y=4x2 ,
2x+y=6, and the y-axis is rotated about the line x=−2. The volume
of the resulting solid is: ____
Find the area between the curve and the x-axis over the
indicated interval.
y = 100 − x2;
[−10,10]
The area under the curve is ___
(Simplify your answer.)
With the area between the graphs:
x+y=14
x+6=y^2
Find the area two different ways
First way:
[a,b]integral(f(x))dx + [b,c]integral(g(x))dx =
whats is a,b,c, f(x), and g(x):
Second way:
[a, b]integral(h(y))dy
what is a, b, and h(y)