Set up, but do not evaluate, two different iterated integrals equal to the given integral. ∬ σ x 2 y d S , where σ is the portion of the cylinder y 2 + z 2 = a 2 in the first octant between the planes x = 0 , x = 9 , and z = 2 y .
Set up, but do not evaluate, two different iterated integrals equal to the given integral. ∬ σ x 2 y d S , where σ is the portion of the cylinder y 2 + z 2 = a 2 in the first octant between the planes x = 0 , x = 9 , and z = 2 y .
Set up, but do not evaluate, two different iterated integrals equal to the given integral.
∬
σ
x
2
y
d
S
,
where
σ
is the portion of the cylinder
y
2
+
z
2
=
a
2
in the first octant between the planes
x
=
0
,
x
=
9
,
and
z
=
2
y
.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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
Use the product rule to find the derivative of the following.
p(y) (y¹ + y²) (6y¯³-10y¯4)
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