Using the Integral Test In Exercises 3-22, confirm that the Integral Test con be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. ∑ n = 1 ∞ 1 ( 2 n + 3 ) 3
Using the Integral Test In Exercises 3-22, confirm that the Integral Test con be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. ∑ n = 1 ∞ 1 ( 2 n + 3 ) 3
Solution Summary: The author calculates that the integral test can be possible for the given series displaystyle
Using the Integral Test In Exercises 3-22, confirm that the Integral Test con be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series.
∑
n
=
1
∞
1
(
2
n
+
3
)
3
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.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
Chapter 9 Solutions
Bundle: Calculus: Early Transcendental Functions, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus, Multi-Term
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