Essential Calculus: Early Transcendentals; MAC 2311 Sequence| MAC 2281Sequence USF (Essential Calculus)
2nd Edition
ISBN: 9781285101552
Author: James Stewart
Publisher: Cenage
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Chapter B, Problem 50E
To determine
To evaluate: The sum
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(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z ≤ 3}.
Calculate the integral
f(x, y, z) dv.
E
(12 points) Let
E={(x, y, z)|x²+ y² + z² ≤ 4, x, y, z > 0}.
(a) (4 points) Describe the region E using spherical coordinates, that is, find p, 0, and such
that
(x, y, z) (psin cos 0, psin sin 0, p cos) € E.
(b) (8 points) Calculate the integral
E
xyz dV using spherical coordinates.
(10 points) Let f(x, y, z) = ze²²+y². Let
E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}.
Calculate the integral
y,
f(x, y, z) dV.
Chapter B Solutions
Essential Calculus: Early Transcendentals; MAC 2311 Sequence| MAC 2281Sequence USF (Essential Calculus)
Ch. B - Prob. 1ECh. B - Write the sum in expanded form. 2. i=161i+1Ch. B - Write the sum in expanded form. 3. i=463iCh. B - Write the sum in expanded form. 4. i=46i3Ch. B - Write the sum in expanded form. 5. k=042k12k+1Ch. B - Write the sum in expanded form. 6. k=58xkCh. B - Write the sum in expanded form. 7. i=1ni10Ch. B - Write the sum in expanded form. 8. j=nn+3j2Ch. B - Write the sum in expanded form. 9. j=0n1(1)jCh. B - Write the sum in expanded form. 10. i=1nf(xi)xi
Ch. B - Write the sum in sigma notation. 11. 1 + 2 + 3 + 4...Ch. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Write the sum in sigma notation. 20. 1 x + x2 x3...Ch. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Find the value of the sum. 30. i=1n(25i)Ch. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Find the value of the sum. 35. i=1n(i3i2)Ch. B - Find the number n such that i=1ni=78.Ch. B - Prob. 37ECh. B - Prob. 38ECh. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prove the generalized triangle inequality:...Ch. B - Prob. 43ECh. B - Prob. 44ECh. B - Prob. 45ECh. B - Prob. 46ECh. B - Prob. 47ECh. B - Prob. 48ECh. B - Prob. 49ECh. B - Prob. 50E
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