EP USING+UNDERSTANDING MATH.-18 WK.ACC.
7th Edition
ISBN: 9780135961216
Author: Bennett
Publisher: PEARSON CO
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Chapter P, Problem 4DQ
Quantitative Literature. Choose a favorite work of literature (poem, play, short story. or novel). Describe one or more instances in which quantitative reasoning is helpful in understanding the subtleties intended by the author.
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2. Triple Integral Applications
2a.
Find the volume of the solids in the first octant which bounded by xy-plane, yz-plane, plane
x+y=4 and z = x²+6.
2b.
Given the region bounded in between z = r² and z =1, side by the cylinder r² ≤ 4, and in the
first and second octant. Determine its volume by using cylindrical coordinate system.
2c. Solving Using Spherical Coordinates
2c.
Calculate the volume of region which is bounded above by sphere of
2
x² + y²+z² = 81 and below by cone z = √x² + y² in the first octant.
Schoology
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1. IXL-Write a system of X
Project Check #5 | Schx Thomas Edison essay, x
Untitled presentation
ixl.com/math/algebra-1/write-a-system-of-equations-given-a-graph
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Play Gimkit! - Enter...
Imported Imported (1)
Thomas Edison Inv...
◄›) What system of equations does the graph show?
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(b) An otherwise fair six-sided die has been tampered with in an attempt to
cheat at a dice game. The effect is that the 1 and 6 faces have a
different probability of occurring than the 2, 3, 4 and 5 faces.
Let θ be the probability of obtaining a 1 on this biased die. Then the
outcomes of rolling the biased die have the following probability mass
function.
Table 1 The p.m.f. of outcomes of rolls of a biased die
Outcome 1 2 3 4 5 6
Probability θ
1
4
(1 − 2θ)
1
4
(1 − 2θ)
1
4
(1 − 2θ)
1
4
(1 − 2θ) θ
(i) By consideration of the p.m.f. in Table 1, explain why it is
necessary for θ to be such that 0 < θ < 1/2. [2]
(ii) The value of θ is unknown. Data from which to estimate the value
of θ were obtained by rolling the biased die 1000 times. The result
of this experiment is shown in Table 2.
Table 2 Outcomes of 1000 independent rolls of a biased die
Outcome 1 2 3 4 5 6
Frequency 205 154 141 165 145 190
Show that the likelihood of θ based on these data is
L(θ) = C θ395 (1 − 2θ)
605
,…
Chapter P Solutions
EP USING+UNDERSTANDING MATH.-18 WK.ACC.
Ch. P - Prob. 1DQCh. P - Quantitative Concepts in the News. Identify the...Ch. P - Mathematics and the Arts. Choose a well-known...Ch. P - Quantitative Literature. Choose a favorite work of...Ch. P - Your Quantitative Major. Identify ways in which...Ch. P - Career Preparation. Realizing that Americans...Ch. P - Attitudes Toward Mathematics. What is your...Ch. P - "Bad at Math" as a Social Disease. Discuss reasons...
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- 2.3 Vibration amplitude of a machine plotted against time shown in Fig. T2.3. is described by sin(0.8+) In(t + 2) x(t) = t + 0.5 Here, t is in seconds and x is in millimeters 0.6 0.4 0.2 ° -0.2 mmm -0.4 0 10 20 30 40 50 60 70 Time [s] Fig. T2.3: Machine vibration amplitude variation against time Obtain the vibration velocity as a function of time, x(t), if it is measured by a vibration velocity sensor.arrow_forwardO State Jordan's lemma. Calculate the following integrals using complex variable techniques. 2π do (i) 1+8 cos²0' I COS x dx x²-2x+5° Leave your answers in terms of real functions of real variables.arrow_forwardSketch to scale the orbit of Earth about the sun. Graph Icarus’ orbit on the same set of axesWhile the sun is the center of Earth’s orbit, it is a focus of Icarus’ orbit. There aretwo points of intersection on the graph. Based on the graph, what is the approximate distance between the two points of intersection (in AU)?arrow_forward
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