6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Chapter 6.2, Problem 49E

Determine whether the following statements are true or false. Remember the Always Principle from Section 1.1 when deciding on your answer. If a statement is false, then provide a counterexample.

The product of two negative integers is a positive integer.

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Chapter 6.2, Problem 48E

Chapter 6.2, Problem 50E

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Part 1: A linear electrical load draws 1₁ A at a 0.72 lagging power factor. See the table to find ½ for your student ID. When a capacitor is connected, the line current dropped to 122 A and the power factor improved to 0.98 lagging. Supply frequency is 50 Hz. a. Let the current drawn from the source before and after introduction of the capacitor be 1₁ and I₂ respectively. Take the source voltage as the reference and express 11 and 12 as vector quantities in polar form. b. Obtain the capacitor current, Ic = 12 − I₁, graphically as well as using complex number manipulation. Compare the results. c. Express the waveforms of the source current before (į (t)) and after (i2(t)) introduction of the capacitor in the form Im sin(2лft + 0). Hand sketch them on the same graph. Clearly label your plots. d. Analytically solve i̟2(t) − i₁ (t) using the theories of trigonometry to obtain the capacitor current in the form, ic(t) = Icm sin(2πft + 0c). Compare the result with the result in Part b.

= x³, y = 8, x = 0. Let R be the region bounded by the curves y = x³ 1. Sketch the region and find the area. Write your answer in simplest fractional form. 2. Sketch the solid you obtain by rotating the region R about the x-axis. 3. Find the volume of the solid obtained by rotating the region R about the x-axis using the disk/washer method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 4. Find the volume of the solid obtained by rotating the region R about the x-axis using the shell method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 5. Which method did you find easier and why? [There is no wrong answer for what you find easier, but explain.] 6. Sketch the solid you obtain by rotating the region R about the y-axis. 7. Find the volume of the solid obtained by rotating the region R about the y-axis using the disk/washer method. Write the formula…

Chapter 6 Solutions

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Determine whether the following statements are true or false. Remember the Always Principle from Section 1.1 when deciding on your answer. If a statement is false, then provide a counterexample. The product of two negative integers is a positive integer.

Solution Summary: The author explains how to determine whether the given statement is true or false with a counter example.

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