Explanation Given information: A 4 -term Riemann sum on the interval 4 ≤ t ≤ 6 has Δ t = 2 . Calculation: Since, for a ≤ t ≤ b Δ t = b − <

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 5, Problem 16SYU

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Whether the statement “A 4 -term Riemann sum on the interval 4≤t≤6 has Δt=2 ” is true or false.

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Chapter 5, Problem 15SYU

Chapter 5, Problem 17SYU

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(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.

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(14 points) Let f: R3 R and T: R3. →R³ be defined by f(x, y, z) = ln(x²+ y²+2²), T(p, 0,4)=(psin cos 0, psin sin, pcos). (a) (4 points) Write out the composition g(p, 0, 4) = (foT)(p,, ) explicitly. Then calculate the gradient Vg directly, i.e. without using the chain rule. (b) (4 points) Calculate the gradient Vf(x, y, z) where (x, y, z) = T(p, 0,4). (c) (6 points) Calculate the derivative matrix DT(p, 0, p). Then use the Chain Rule to calculate Vg(r,0,4).

Chapter 5 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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To indicate: Whether the statement “A 4 -term Riemann sum on the interval 4 ≤ t ≤ 6 has Δ t = 2 ” is true or false.

Solution Summary: The author analyzes whether the statement "A 4 -term Riemann sum on the interval ale b hasDelta t=2" is true or false.

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To indicate:

Whether the statement “A 4 -term Riemann sum on the interval 4≤t≤6 has Δt=2 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate: Whether the statement “A 4 -term Riemann sum on the interval 4 ≤ t ≤ 6 has Δ t = 2 ” is true or false.

Solution Summary: The author analyzes whether the statement "A 4 -term Riemann sum on the interval ale b hasDelta t=2" is true or false.

Videos

To indicate: Whether the statement “A 4 -term Riemann sum on the interval 4≤t≤6 has Δt=2 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate:

Whether the statement “A 4 -term Riemann sum on the interval 4≤t≤6 has Δt=2 ” is true or false.