The function is given as y = 7x^3 - 8x^2 -16x +15 The max is at x = -4/7 & min is at x = 4/3 How do I know that it is local max&min or absolute max &min? (graphing

19,754 results
  1. ALGEBRA

    Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the amount y Max charges to mow lawns for x hours? y = 9.50x y = 6.00x + 3.50 y = 3.50x + 6.00***** y = 2.5x The sale price of ground beef

  2. Pre-Algebra

    1. 16x^2 + 2 + 2x - 15x^2 - 1 + 14x A. 31x^2 + 16x + 1 B. x^2 - 12x + 1 **** C. x^2 + 16x + 1 D. x^2 + 16x + 2 2. 2x^2 + 8 - 4x + 3x - 6x^2 + 7 A. -8x^2 - 7x + 15 B. -4x^2 - x + 15 **** C. 4x^2 + x + 15 D. 8x^2 + 7x + 15 3. 4x^2 + 8x - 11x + 6 - 5x^2 + 2

  3. math

    Find the HCF and LCM of: 1 + 4x + 4x^2 - 16x^4.. ,1 + 2x - 8x^3 - 16x^4.., 16x^4 + 4x^2 + 1

  4. trig

    1. Write a sinusoidal function for the function with a period of 6. The function has a max of 3 at x=2 and a low point of -1. 2. Write a sinusoidal function for the function with a period of 5. The function has a max of 7 at x=1. explain it in full detail

  5. Math

    Max charges $3.50 per hour when he mows lawns, plus $6.oo for transportation expenses. Which function rule represents the amount y Max charges to mow lawns for x hours? A.y=9.50x*** B.y=6.00 + 3.50 C.y=3.50 + 6.00 D.y= 2.5x My answer is D

  6. Algebra 2

    Please help super confused!!! Which points are the best approximation of the relative maximum and minimum of the function? f(x)=x^3+3x^2-9x-8 a. Relative max is at (3,-13), relative min is at (-3,-19). b. Relative max is at (-3,19), relative min is at

  7. physics

    A piston in a car engine has a mass of 0.75 kg and moves with motion wich was approximately simple harmonic. If the amplitude of zis oscillation is 10 cm and z max. safe operating speed of z engine is 6000 rev. per min. Calculate: a. Max acceleration of z

  8. Math

    Which equation is true for all the ordered pairs in the table? X Y 0 0 1 4 2 16 3 36 A. Y=4x^2 B.Y=1/4x^2 C.Y=16x^2 D. 1/16x^2

  9. Math (Algebra)

    Consider the graph of the quadratic function y=ax^2+bx+c. If it passes through two points P=(6,0) and Q=(14,0), and its vertex is on the line y=−16x, what is the value of a+b+c?

  10. Math

    1. 16x^2 + 2 + 2x - 15x^2 - 1 + 14x a. 31x^2 + 16x + 1 b. x^2 - 12x + 1 c. x^2 + 16x + 1* d. x^2 + 16x + 2 2. 3x^2 + 6 - 2x + 5x - 4^2 + 9 a. -x^2 + 3x + 15* b. 7x^2 + 3x + 3 c. x^2 - 3x + 15 d. -x^2 + 7x + 15 3. 2x^2 + 6x - 7x + 8 -3x^2 + 1 a. 2x^2 + x +

  11. algebra

    A certain cosine function completes 6 cycles over the interval [0,2π]. Which function rule could model this situation? f(x)=cos(16x) f(x)=cos(x)+6 f(x)=cos(6x) f(x)=6cos(x)

  12. calculus

    a function has a local maximum at x=-2 and x=6 and a local minimum at x=1. how do u find the concavity of this function and point of inflection?? ***the only given info is the max and min points

  13. precalculus

    Determine whether the given equation represents y as a function of x and explain how you know. a) 16x^2-y^2=0 b) 16-lxl=4y thank you!

  14. math

    The question is (2x+1)^2-2(2x^2-1) in simplest form Is this correct? [(2x+1)(2x+1)](-4x^2+2) 4x^2+2x+2x+1(-4x^2+2) 4x^2+4x+1(-4x^2+2) -16x^4-16x^3-4x^2 + 8x^2+8x+2 _________________________ -16^4-16x^3+4x^2+8x +2 Did I do this correctly? Thank you for your

  15. math

    Find the HCF and LCM of: 1 + 4x + 4x^2 - 16x^4.. ,1 + 2x - 8x^3 - 16x^4.., 16x^4 + 4x^2 + 1

  16. Math

    Hi, how would we solve a problem like this? The path of the ball for many golf shots can be modelled by a quadratic function. The path of a golf ball hit at an agle of about 10 degrees to the horizontal can be modelled by the function : h= -0.002d^2+0.4d

  17. Calculus, math

    Consider the function below. (If an answer does not exist, enter DNE.) f(x) = e^arctan(7x) I did the problem but I have mistakes on some items. I think the ff. are right: Vertical Asymptote: x = DNE Horizontal Asymptote: y = e^-(pi/2), e^(pi/2) Interval

  18. linear programming

    Maximize z = 16x + 8y subject to: 2x + y ≤ 30 x + 2y ≤ 24 x ≥ 0 y ≥ 0 Graph the feasibility region. Identify all applicable corner points of the feasibility region. Find the point(s) (x,y) that maximizes the objective function z = 16x + 8y.

  19. Math

    my bad correction Max charges $3.50 per hour when he mows lawns, plus $6.oo for transportation expenses. Which function rule represents the amount y Max charges to mow lawns for x hours? A.y=9.50x B.y=6.00 + 3.50 C.y=3.50 + 6.00 *** D.y= 2.5x My answer is

  20. MAth

    If 1 gallon (gal) of water weighs 8.34 pounds (lb), how much does 3.75 gal weigh? A) 15 lb B) 31.275 lb C) 30.125 lb D) 12.09 lb i think it is D 50. Determine the maximum and minimum values of the following set of numbers. A) Max: 26 / 9 min: - 36 / 7 C)

  21. Calculus

    Find the average value of the function on the given interval: f(x)=cos(16x), [0,pi/2] The answer I got is 1.

  22. Pre-Calculus

    Help please If f(x)=8x and g(x)=2x+1 find (fog)(x) 16x^2+8x 16x+1 16x+8 10x+1

  23. Algebra

    Which of these is another way to write the function ƒ(x)=16x? 1) f(x)=4^4x 2) f(x)=2^4x 3_ f(x)=2 ^x/4 4_f(x)=4 ^/x4 I the answer 2, is that correct?

  24. calculus

    Sketch the curve y = x^3 - 12x^2 + 36x I already did the question properly it is concave down at (0,4) and concave up at (4,infinity) I found the abs max to be (2,32) and abs min to be (6,0) What I wanted to know is when labeling the graph should I label

  25. calculus

    Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 16x + 10,000; R(x) = 21x

  26. Trigonometric Functions

    The following transformations 𝑦 = 3𝑓 (1 𝑥 − 2𝜋) − 1 were applied to the parent function f(x) = csc(x). Graph the transformed function for the interval −4𝜋 ≤ 𝑥 ≤ 4𝜋. On your graph, label the asymptotes, local max/min, and

  27. Math

    Which of the following expressions is equivalent to (-2x^5 y^2)^4 A. -16x^20 y^8 B. -8x^10 y^8 C. -8x^9 y^6 D. 16x^9 y^6 E. 16x^20 y^8

  28. Algebra

    How do I read the equation (function) y=-0.03x^2+0.14x+1.43? Do I have to complete the square to find the vertex, max., min., etc.? This function is part of a word problem that I am trying to do. I would appreciate any help.

  29. Chemistry

    How would one be able to identify the lambda max of Cr(III) at a concentration less than 70ppm from a graph? I couldn't post the graph, but I don't understand how one would be able to do this? The graph had the Chromium Absorbance Spectra of 70ppm for

  30. math

    Find all zeros of the function f(x)=16x^3-48x^2-145x-75 Please help ASAP!!! :(

  31. Physics (Please Help)

    Problem 4.4- Suppose n o and n e are given. In (a) you only need to find the magnitude of the group velocity. Problem #2 in HW 10 may be helpful. You can also directly use the definition of group velocity, i.e., v g = triangle k w (k), taking into account

  32. math

    You are designing a rain gutter made from a piece of sheet metal that is 1 foot by 5 feet. The gutter is formed by turning up two sides. You want the rain gutter to have the greatest volume possible. Below is the polynomial function that represents the

  33. Math

    find any stationary points of the function g(x) = (2x-3)square root of 5+16x-4x^2 (0 less than or equal to x less than or equal to 4) and use the first derivative test to classify each stationary point as a local maximum or local minimum of g(x) this is

  34. algebra

    Solve the system by addition or substitution. 16x-4y=20 y=4x-4 I ask for help with this and forgot to add the problem. can anyone help me understand how to do this? 16x-4y=20 -4x+y=-4 ___________ 16x-4y=20 (4)(-4x+y=-4) ______________ 16x-4y=20 -16x+4y=-16

  35. extrema

    The function is given as y = 7x^3 - 8x^2 -16x +15 The max is at x = -4/7 & min is at x = 4/3 How do I know that it is local max&min or absolute max &min? (graphing calculator is not allowed) You know that it's a local minimum and maximum because the x^3

  36. physics

    9-Volt battery is used to charge a 375 mF capacitor over a 147 Ù resistance. How many seconds will it take for the capacitor to reach 75% of its maximum charge? Hint: The equation below represents the charge of a charging capacitor as a function of time Q

  37. calculus

    please help! having issue with exponent part of problem. I come to 16x^4 but I think it should be 16x^3.i also have complications with finding the domains. find the derivative of the function using the definition of derivative. f(x)=4x^4 f'(x)=? State the

  38. math

    Maximize z = 16x + 8y subject to: 2x + y ≤ 30 x + 2y ≤ 24 x ≥ 0 y ≥ 0 Graph the feasibility region. Identify all applicable corner points of the feasibility region. Find the point(s) (x,y) that maximizes the objective function z = 16x + 8y.

  39. MATH

    1. Maximize z = 16x + 8y subject to: 2x + y ≤ 30 x + 2y ≤ 24 x ≥ 0 y ≥ 0 Graph the feasibility region. Identify all applicable corner points of the feasibility region. Find the point(s) (x,y) that maximizes the objective function z = 16x + 8y.

  40. algebra

    Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 16x + 10,000; R(x) = 21x

  41. Please help for my test CALculus

    using the chain rule find the min and max points and their values of the composite function defined by z=x^2+y^2, x=sin(2t), y=cos(t) This is what Ive got so far... dz/dt= 2x*dx/dt+2y*dy/dt =4sin2tcos2t-2sintcost I understand the steps of computing the max

  42. Calulus

    Consider the function y = 2x^3-3x^2+9x+5. 1. Find where the function is increasing, where the function is decreasing, and calculate all relative extrema (local max and local min) 2. Find where the function is concave up, where the function is concave down,

  43. ALGEBRA

    Max charges $3.50 per hour when he mows lawns, plus $6.00 for transportation expenses. Which function rule represents the amount y Max charges to mow lawns for x hours? y = 9.50x y = 6.00x + 3.50 y = 3.50x + 6.00***** y = 2.5x

  44. Chem

    How would one be able to identify the lambda max of Cr(III) at a concentration less than 70ppm from a graph? I couldn't post the graph, but I don't understand how one would be able to do this? Can you please justify the answer with an explanation? I would

  45. math

    Explain whether the points (−13, 4), (−7, 3), (−1, 2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−16x+116. Yes, because all the solutions of y=−16x+116 need to be integer values for x and y. Yes, because

  46. English

    English Are they cooks? 1. No, they are not. 2. No, they're not. 3. No, they aren't. [Are the three answers grammatical?] 4. Max isn't my pet. 5. Max's not my pet. [Is #5 grammatical?] 6. Betty and I aren't late for school. 7. Betty and I're not late for

  47. precalculus

    how to find the max and min of a sine function? For the maximum, do you do midline+ amplitude? For the midline- Amplitude? f(x)= 7cosx + 15 Max is 15+7=22 min is 15-7= 8

  48. Calculus-derivatives

    What is the slope of the tangent of each curve at given point y=√(16x^3), (4,32) If I find the derivative of y=√(16x^3) Will it be 16/-x^3

  49. math

    This is a multiple choice question. What is the solution of the equation 2(x+2)^2-4=28 1)2 only 2)6 only 3)-2 and 6 4)2 and -6 I did (2x+4)(2x+4)-4=28 4x^2+8x+8x+16-4=28 4x^2+16x+12=28 4x^2+16x=16 This is where I get stuck, can you help? thank you

  50. algebra

    Find the Zero of the Function...I am clueless as to how to help my son with this math. Here is the problem. f(x)=16x-4

  51. Calculus

    Information to solve problems Q=12L+29L^2-1.1L^3 Q= # of cars produced/year L=# of laborers used per year for production Each car sells for $125. $7000 per laborer per year is cost for labor and other consumable materials. I attempted some parts of these

  52. Calculus - please check my work

    Differentiate each function a) y = -3x^2 + 5x - 4 b) f(x) = 6/x - 3/(x^2) c) f(x) = (3x^2 - 4x)(x^3 + 1) the answers i got for each was: a) y'= -6x + 5 b) f'(x)= -6/x^2 + 6/x^3 c) f'(x)= 15x^4 + 6x - 16x^3 - 4 please double check and let me know if these

  53. algerbra

    7(3x+4)=8(2x+5)+13 how would I start a equation like this would it be 21x+28=16x+40+13 ? Yes, that is the way to start. Now collect the x's on one side. so it would be 21x-21x=28= 28=-5+40+13 28+13=41 x=41 7(3x+4)=8(2x+5)+13 21x+28=16x+40+13 To get all the

  54. economics

    Assume a monopolist with the following demand and cost relationships. Q = 400 - 20p TC = 10 + 5q + q2 Calculate the following: Profit max price Profit max quantity TR, TC, Profit, and the elasticity at profit max q and p.

  55. Calculus

    Find any absolute maximum and minimum and local maximum and minimum for the function f(x)=x^3-4x+5 on the interval [0,5). Make sure to prove that these points are max/min values. THis is what I did. f'(x)=3x^2-4=0 x= +/- 2/sqrt3 -2/sqrt3 is outside of

  56. Algebra Help

    Determine without graphing, whether the given quadratic function has a max value or min value and then find the value. F(x)=2x^2+16x-1

  57. Algebra

    There are two solutions to | 16x - 5 | = 3. The greatest solution is ___. Since the expression, 16x - 5, can be either positive or negative, solve for both. 16x - 5 = 3 16x = 8 x = .5 -(16x - 5) = 3 -16x + 5 = 3 -16x = -2 x = 1/8 You can decide which is

  58. Math

    5(-3x - 2) - (x - 3) = -4(4x + 5) + 13 Answer Multiply factors. -15x - 10 - x + 3 = -16x - 20 +13 Group like terms. -16x - 7 = -16x - 7 Add 16x + 7 to both sides and write the equation as follows 0 = 0

  59. Math

    I sent this in a little while back but the file got corrupted and I have to re do it and I forgot the answer please if it is not done today I fail the year. Simplify the polynomial 16x^2 + 2 + 2x - 15x^2 - 1 + 14x A:31x^2 + 16x + 1*** B:x^2 - 12x + 1 C:x^2

  60. math

    We fire a missile from ground level at 1750 ft/sec. at launch angle of 10 degrees. h(t) =-16t^2 + vot +h a. find a function for height as a function b. find a function for distance from launch point as a function of time. c. when will the missile reach max

  61. Calc I (@Reiny)

    y = x^3 - 8x^2 + 6x -2 has a slope of 6 at two points, what are the coordinates? I used Reiny's way to help solve this answer. Please check if I've done it correct: y'= 3x^2-16x+6 3x^2-16x+6=6 3x^2-16x=0 x(3x-16)=0 Solve for x's x=0 3x-16=0 ~> x=16/3 Plug

  62. Calc I (@Reiny)

    y = x^3 - 8x^2 + 6x -2 has a slope of 6 at two points, what are the coordinates? I used Reiny's way to help solve this answer. Please check if I've done it correct: y'= 3x^2-16x+6 3x^2-16x+6=6 3x^2-16x=0 x(3x-16)=0 Solve for x's x=0 3x-16=0 ~> x=16/3 Plug

  63. A/P Calculus

    A Cyclist is riding on a path whose elevation is modeled by the function f(x) = 0.08(16x-x^2) where x and f(x) are measured in miles. Find the rate of change of elecation when x=4. Would this be 0.64? dx/dt would be 1.28 - 0.16x and then plug in four?

  64. Algerbra

    how do you solve 7(3x+4)=8(2x+5)+13 expand the parenthesis...I will do the left side.. 21x + 29= Now, subtract sixteen x from both sides, and subtract 28 from both sides. I will be happy to check your work. 7(3x+4)=8(2x+5)+13 21x + 29 is 7 times 4 28? 21x+

  65. behavior problems (dogs)

    please check my answer thanks You've evaluated Max, a two-year-old neutered male English Bull Terrier. You found him to be very friendly with humans; he's outgoing and confident. Max is an obedient dog and you anticipate he will do well in training. Max's

  66. Basic Calculus-Relative Extrema

    Hello, please help me :) A question asked that I find all relative extrema of a function f(x)= x + 1/x. I'm a bit confused with my solution, but I'll show my work first..: I found f'(x) to get the critical numbers: f'(x)=1-x^-2 f'(x)=(x^2 -1)/x^2

  67. Calculus

    Find any absolute max/min and local max/min for the function f(x)=x^3-4x+5 on the interval [0,5). Made sure to prove that these points are max/min values. This is what I did so far. f'(x)=3x^2-4=0 3x^2=4 x= 2/sqrt3 The -2/sqrt3 is outside of interval so

  68. calculus

    i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x^3)^2 i got the answer from a site but the problem is i cannot get my work to match up with the answer, i don't know what im doing wrong. answer: 10x^9 + 36x^8 − 64x^7 − 182x^6 +

  69. meme

    Consider the system of equations A ⊗ x = b where (i) A ∈ R m×n max , x ∈ R n max, b ∈ R m max and Rmax = R ∪ {−∞}, (ii) ⊗ denotes the max-plus matrix (or matrix-vector) product based on the arithmetic operations of ”addition” a ⊕ b

  70. algebra

    x^2 +16x+64 x^2+16x=64 (x=3)^2=16x-64 16x=-64 x=-4 Check this problem please

  71. Math

    Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point f(x)= (7/4)x^4+(28/3)x^3+(-63/2)x^2-252x critical points in increasing order: c1=? min or max?

  72. math - please help

    Find the HCF and LCM of: 1 + 4x + 4x^2 - 16x^4.. ,1 + 2x - 8x^3 - 16x^4.., 16x^4 + 4x^2 + 1

  73. economics

    Suppose 15 peaches and 20 oranges need to be divided between fred and ethel. Fred's utility function is U=Max(#of peaches, #of oranges) ethels utility function is U=Max(2# peaches, # of oranges). Carefully draw a graph showing the set of Pareto efficient

  74. Calculus (urgent!!)

    Consider the function f(x)=12x^5+60x^4−100x^3+4. For this function there are four important intervals: (−INF,A], [A,B] ,[B,C] , and [C,INF) where A, B, and C are the critical numbers. Find A, B, and C. At each critical number A, B, and C does f(x) have

  75. calc

    find the derivative of y = sqrt(9 - 16x) Use the chain rule. First find the derivative of the sqrt, and multiply that by the derivative of what is contained inside. Cake. Use the chain rule. If we have y(x)=sqrt(9-16x) then y'=d/dx(sqrt(9-16x))*d/dx(9-16x)

  76. Calc, Implicit Differentiation

    Regard y as independent variable and x as dependant variable and find the slope of the tangent line to the curve (4x^2 + 2y2)^2 - x^2y = 4588 at point (3,4). Correct answer is -0.668827160493827 Here's what I did: 2(8x(dy/dx) + 4y) -2x(dx/dy)y + x^2 = 0

  77. Economics

    Assume a monopolist with the following: a. Qd = 100 – 10p b. TC = 1 + 2Q Find the following: Price at profit max Quantity at profit max TR at profit max TC at profit max Profit

  78. Math

    Consider the function f(x) = -2 x^3 + 36 x^2 - 162 x + 2. There are two critical points, A and B where A < B: A = and B = f''(A)= f''(B)= Therefore f(x) has a relative at A (MAX or MIN) and a relative at B (MAX or MIN).

  79. math

    Given the quadratic function f(x) = 16x^2 – 64x + 64, find a value of x such that f(x) = 16.

  80. Math

    How to find the (implicit) domain for the function f(x) = ln(16x + 14).

  81. Calculus

    Find d/dx integral(with upper bound of 4x and lower bound of 1) of square root of t^2 +1 dt. A. sqrt(4x+1) B. sqrt(16x^2+1) + sqrt(2) C. 4 sqrt(16x^2+1) D. sqrt(16x^2+1)

  82. math

    Find the points where these conics intercept: 16x^2 - 5y^2 = 64 16x^2 + 25y^2 - 96x = 256

  83. math, really need some feedback asap.

    5/8 x+1/16 x=11/16+x 16*(5/8 x+1/16 x) = 16(11/16+x) 10x + x = 11 + 16x, so the next step is: 11x = 11 + 16x (get x-terms on the left.) -x = 11 (divide by -1.) x = 11 Is this correct?

  84. Math(Please help)

    1) where is the function f(x)= 5 / (2x-4)^3 increasing. I know the answer is for all of x but I do not know how to get this. I know that you can write the equation as 5(2x-4)^-3 2) Let a, b, and c be fixed with a>0 and let f(x)=ax^2 + bx + c. Which of the

  85. Algebra 2

    1/16x^4 +3/8x^3 +1/8x^2+1)+ (-9/16x^4 +7/8x^2 -1) I had previously made a mistake in the first set of problems in the last numbers. instead of +1, I had -1. I apologize for the confusion. Thank you.

  86. algebra 2

    Find the points where these quadratic relations intersect. 16x^2-5y^2=64, 16x^2+25y^2-96x=256

  87. Calc Help

    f(x)=x^4-16x^2. Is this function concave up or down at x=-2? I will be happy to critique your thinking.

  88. Geometry Urgent Help plz!

    How do you go about finding the roots\x intercepts of the function; 2x^2-16x+36 so that I can graph it ? Thank you !

  89. maths

    find the maximum valu of any of the function without using derivatives 16x+8x+7

  90. math

    judy wants to fence the sides of the yard in front of her house . She bought 60m of fence and wants the max area she can fence in . The quad function a(x)=-2x^2+60x, where x is the width of the yard in metres , represent area enclosed . Determine the max

  91. math

    Solve the following equation. 16x^2 − 16x + 4 = 0 x = 1 (smaller value) x = 2 (larger value)

  92. Calculus

    What is the absolute max and absolute min of 3+13 |t-8| for -1

  93. Chemistry

    How would one be able to identify the lambda max of Cr(III) at a concentration less than 70ppm from a graph? I couldn't post the graph, but I don't understand how one would be able to do this? The graph had the Chromium Absorbance Spectra of 70ppm for

  94. Calculus

    Find the equation of the tangent line to the graph of the function f(x)= 2x^3−3x^2+4x+2 at x=2 I got y=16x-12 but I know it is wrong.

  95. calculus

    Find the complex zeros of the polynomial function. F(x)=5x^4-16x^3-22x^2+200x-39

  96. PreCalc

    y =( (C-A)/2 ) sin( (X - (A - ( (C - A)/2 ) ) )( pi/(C-A) ) ) + (B - ( (B-D)/2 ) How do I rearange this for this equation for the all of the variables including A, B, C, D, X were pi is the greek leter pi if you didn't notice this is the general formula

  97. math

    how to solve this problem: max min(x-y)..... here where the max have written, under it x>=0 is also given. also under min y>=0 is given. Also tell that is this is equals to min max(x-y) ? (same as above under max x>=0, under min y>=0 is given) x and y both

  98. Math

    I'm graphing this periodic function, it has the same min value for each for the two periods, but the max value is different for the two periods. Should I use the higher max value to work out the equation for the function, or should I average them?

  99. calculus

    I don't understand how to do this? I don't know the steps on how to do it! Can you please just tell me the steps? Find the intervals on which the function is increasing and decreasing. g(x) = x√((8-x)^2) (also, what is the difference between local

  100. Partial Differential Equations

    Problem 4.4- Suppose n o and n e are given. In (a) you only need to find the magnitude of the group velocity. Problem #2 in HW 10 may be helpful. You can also directly use the definition of group velocity, i.e., v g = triangle k w (k), taking into account

Pages

  1. 1
  2. 2
  3. 3
  4. 4
  5. 5
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17
  18. 18
  19. 19
  20. 20