Calculus: Single And Multivariable
7th Edition
ISBN: 9781119444190
Author: Hughes-Hallett, Deborah; Mccallum, William G.; Gleason, Andrew M.; Connally, Eric; Kalaycioglu, Selin; Flath, Daniel E.; Lahme, Brigitte; Lomen, David O.; Lock, Patti Frazer; Lovelock, David; Morris, Jerry; Lozano, Guadalupe I.; Mumford, David; Quinney, D
Publisher: WILEY
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Find the values of p for which the series is convergent.
P-?- ✓
00
Σ nº (1 + n10)p
n = 1
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SUBMIT ANSWER
[-/4 Points]
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SESSCALCET2 8.3.513.XP.
Consider the following series.
00
Σ
n = 1
1
6
n°
(a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.)
$10 =
(b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.)
Sn +
+ Los
f(x) dx ≤s ≤ S₁ +
Jn + 1
+ Lo
f(x) dx
≤s ≤
(c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s≈s is less than 0.0000001.
On > 11
n> -18
On > 18
On > 0
On > 6
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√5
Find Lª³ L² y-are
y- arctan
(+) dy
dydx. Hint: Use integration by parts.
SolidUnderSurface z=y*arctan(1/x)
Z1
2
y
1
1
Round your answer to 4 decimal places.
For the solid lying under the surface z = √√4-² and bounded by the rectangular region
R = [0,2]x[0,2] as illustrated
in this graph:
Double Integral
Plot of integrand over Region R
1.5
Z
1-
0.5-
0 0.5
1
1.5
205115
Answer should be in exact math format. For example, some multiple of .
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