Using the Integral Test In Exercises 23 and 24, use the Integral Test to determine be convergence or divergence of the series, where k is a positive integer. ∑ n = 1 ∞ n k − 1 n k + c
Using the Integral Test In Exercises 23 and 24, use the Integral Test to determine be convergence or divergence of the series, where k is a positive integer. ∑ n = 1 ∞ n k − 1 n k + c
Solution Summary: The author calculates the convergence or divergence of the given series by using an Integral test.
Using the Integral Test In Exercises 23 and 24, use the Integral Test to determine be convergence or divergence of the series, where k is a positive integer.
∑
n
=
1
∞
n
k
−
1
n
k
+
c
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.
Can you help explain what I did based on partial fractions decomposition?
Suppose that a particle moves along a straight line with velocity v (t) = 62t, where 0 < t <3 (v(t)
in meters per second, t in seconds). Find the displacement d (t) at time t and the displacement up to
t = 3.
d(t)
ds
= ["v (s) da = {
The displacement up to t = 3 is
d(3)-
meters.
Let f (x) = x², a 3, and b
=
=
4.
Answer exactly.
a. Find the average value fave of f between a and b.
fave
b. Find a point c where f (c) = fave. Enter only one of the possible values for c.
c=
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