USING + UNDERSTANDING MATH CUSTOM
6th Edition
ISBN: 9780137721023
Author: Bennett
Publisher: PEARSON C
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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...
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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
USING + UNDERSTANDING MATH CUSTOM
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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- Problem: The probability density function of a random variable is given by the exponential distribution Find the probability that f(x) = {0.55e-0.55 x 0 < x, O elsewhere} a. the time to observe a particle is more than 200 microseconds. b. the time to observe a particle is less than 10 microseconds.arrow_forwardHow to solve it explain it step by step pleasearrow_forwardNot use ai pleasearrow_forward
- 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
- Refer to page 138 of the shared file for the numerical methods problem. Use Newton's method to approximate the solution of the given nonlinear system of equations. Start with an initial guess provided in the problem and iterate for at least two steps. Link: [https://drive.google.com/file/d/1RQ2OZk-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Show the Jacobian matrix, iteration formulas, and each step of the computation.arrow_forwardUnknown to a medical researcher, 7 out of 24 patients have a heart problem that will result in death if they receive the test drug. 5 patients are randomly selected to receive the drug and the rest receive a placebo. What is the probability that less than 4 patients will die? Express as a fraction or a decimal number rounded to four decimal places.arrow_forwardRefer to page 128 for the heat equation problem. Solve the one-dimensional heat equation with the given initial and boundary conditions. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Use Fourier series or other appropriate methods.arrow_forward
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