MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
9th Edition
ISBN: 9780136415893
Author: Tannenbaum
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Chapter 7, Problem 19E
To determine
The correct option for the given statement.
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(4) (8 points)
(a) (2 points) Write down a normal vector n for the plane P given by the equation
x+2y+z+4=0.
(b) (4 points) Find two vectors v, w in the plane P that are not parallel.
(c) (2 points) Using your answers to part (b), write down a parametrization r: R² —
R3 of the plane P.
(2) (8 points) Determine normal vectors for the planes given by the equations x-y+2z = 3
and 2x + z = 3. Then determine a parametrization of the intersection line of the two
planes.
(3) (6 points)
(a) (4 points) Find all vectors u in the yz-plane that have magnitude [u
also are at a 45° angle with the vector j = (0, 1,0).
= 1 and
(b) (2 points) Using the vector u from part (a) that is counterclockwise to j, find an
equation of the plane through (0,0,0) that has u as its normal.
Chapter 7 Solutions
MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
Ch. 7 - A computer lab has seven computers labeled A...Ch. 7 - The following is a list of the electrical power...Ch. 7 - Consider the network shown in Fig.720_. a. How...Ch. 7 - Consider the network shown in Fig.721_. a. How...Ch. 7 - Consider once again the network shown in. Fig720_....Ch. 7 - Consider once again the network shown in. Fig721_....Ch. 7 - Consider the network shown in. Fig722. This is the...Ch. 7 - Consider the network shown in. Fig723_. This is...Ch. 7 - Consider the tree shown in. Fig724_. a. How many...Ch. 7 - Consider the tree shown in. Fig725. a. How many...
Ch. 7 - In Exercises 11 through 24 you are given...Ch. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - In Exercises 11 through 24 you are given...Ch. 7 - Prob. 16ECh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - In Exercises 11 through 24 you are given...Ch. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Consider the network shown in Fig.727_. a. Find a...Ch. 7 - Prob. 27ECh. 7 - Consider the network shown in Fig.729_. a. Find a...Ch. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - The 4 by 5 grid shown in Fig. 7-37 represents a...Ch. 7 - Prob. 37ECh. 7 - Find the MST of the network shown in Fig. 7-39...Ch. 7 - Find the MST of the network shown in Fig. 7-40...Ch. 7 - Find the MST of the network shown in Fig. 7-41...Ch. 7 - Prob. 41ECh. 7 - Find the MaxST of the network shown in Fig. 7-39...Ch. 7 - Find the MaxST of the network shown in Fig. 7-40...Ch. 7 - Prob. 44ECh. 7 - The mileage chart in Fig. 742 shows the distances...Ch. 7 - Figure 7-43a shows a network of roads connecting...Ch. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - This exercise refers to weighted networks where...Ch. 7 - Prob. 51ECh. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - Prob. 55ECh. 7 - Prob. 56ECh. 7 - A bipartite graph is a graph with the property...Ch. 7 - Prob. 58ECh. 7 - Prob. 59E
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- (1) (4 points) Give a parametrization c: R R³ of the line through the points P = (1,0,-1) and Q = (-2, 0, 1).arrow_forward7. Show that for R sufficiently large, the polynomial P(z) in Example 3, Sec. 5, satisfies the inequality |P(z)| R. Suggestion: Observe that there is a positive number R such that the modulus of each quotient in inequality (9), Sec. 5, is less than |an|/n when |z| > R.arrow_forward9. Establish the identity 1- 1+z+z² + 2n+1 ... +z" = 1- z (z1) and then use it to derive Lagrange's trigonometric identity: 1 1+ cos cos 20 +... + cos no = + 2 sin[(2n+1)0/2] 2 sin(0/2) (0 < 0 < 2л). Suggestion: As for the first identity, write S = 1+z+z² +...+z" and consider the difference S - zS. To derive the second identity, write z = eie in the first one.arrow_forward
- 8. Prove that two nonzero complex numbers z₁ and Z2 have the same moduli if and only if there are complex numbers c₁ and c₂ such that Z₁ = c₁C2 and Z2 = c1c2. Suggestion: Note that (i≤ exp (101+0) exp (01-02) and [see Exercise 2(b)] 2 02 Ꮎ - = = exp(i01) exp(101+0) exp (i 01 - 02 ) = exp(102). i 2 2arrow_forwardnumerical anaarrow_forward13. If X has the distribution function F(x) = 0 1 12 for x < -1 for -1x < 1 for 1x <3 2 3 for 3≤x≤5 4 1 for x≥5 find (a) P(X ≤3); (b) P(X = 3); (c) P(X < 3); (d) P(X≥1); (e) P(-0.4arrow_forwardTwo measurements are made of some quantity. For the first measurement, the average is 74.4528, the RMS error is 6.7441, and the uncertainty of the mean is 0.9264. For the second one, the average is 76.8415, the standard deviation is 8.3348, and the uncertainty of the mean is 1.1448. The expected value is exactly 75. 13. Express the first measurement in public notation. 14. Is there a significant difference between the two measurements? 1 15. How does the first measurement compare with the expected value? 16. How does the second measurement compare with the expected value?arrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answer .arrow_forwardIf you use any chatgpt will downvote.arrow_forwardPlease help I'm a working mom trying to help my son last minute (6th grader)! Need help with the blank ones and check the ones he got with full calculation so we can use it to study! Especially the mixed number fractions cause I'm rusty. Thanks in advance!arrow_forward|| 38 5층-11- 6 4 7 2 6arrow_forward4. Consider the initial value problem y' = 3x(y-1) 1/3, y(xo) = yo. (a) For what points (co, yo) does the IVP have a solution? (b) For what points (xo, yo) does the IVP have a unique solution on some open interval that contains 20? (c) Solve the IVP y' = 3x(y-1) 1/3, y(0) = 9 and determine the largest open interval on which this solution is unique.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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