Presentation is loading. Please wait.

Presentation is loading. Please wait.

f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6

Published byHartanti Yuwono Modified over 4 years ago

Similar presentations

Presentation on theme: "f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6"— Presentation transcript:

1 f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6
Consider the eigenvalue equation Which of the following give(s) an eigenfunction and corresponding eigenvalue? f(x) = sin(kx) and C = +k2 f(x) = exp(-x) and C = +1 f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6 (A) I (B) II (C) III (D) II and III (E) I, II, III and IV

2 f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6
Consider the eigenvalue equation Which of the following give(s) an eigenfunction and corresponding eigenvalue? f(x) = sin(kx) and C = +k2 f(x) = exp(-x) and C = +1 f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6 (A) I (B) II (C) III (D) II and III (E) I, II, III and IV

Download ppt "f(x) = exp(ikx) and C = -k2 f(x) = x3 and C = 6"

Similar presentations

CLASSE I SEZ. A MODA. CLASSE II SEZ. A MODA CLASSE III SEZ. A MODA.

CLASSE I SEZ. A MODA. CLASSE II SEZ. A MODA CLASSE III SEZ. A MODA.
Algebra Recap Solve the following equations (i) 3x + 7 = 32 - 2x (ii) 3x + 1 = 5x – 13 (iii) 3(5x – 2) = 4(3x + 6) (iv) 3(2x + 1) = 2x + 11 (v) 2(x + 2)

Algebra Recap Solve the following equations (i) 3x + 7 = x (ii) 3x + 1 = 5x – 13 (iii) 3(5x – 2) = 4(3x + 6) (iv) 3(2x + 1) = 2x + 11 (v) 2(x + 2)
1 Financial Mathematics Clicker review session, Midterm 01.

1 Financial Mathematics Clicker review session, Midterm 01.
1 Financial Mathematics Clicker review session, Final.

1 Financial Mathematics Clicker review session, Final.
Financial Mathematics Clicker review session, Midterm 01 1.

Financial Mathematics Clicker review session, Midterm 01 1.
1 Financial Mathematics Clicker review session, Midterm 01.

1 Financial Mathematics Clicker review session, Midterm 01.
example: four masses on springs

example: four masses on springs
I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=

I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=
I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=

I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=
Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2

Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2
Miscellaneous examples 1. Given that a = log 10 2 and b = log 10 5, find expressions in terms of a and b for: (i) log 10 2.5 (ii) log 10 40 (iii) log 10.

Miscellaneous examples 1. Given that a = log 10 2 and b = log 10 5, find expressions in terms of a and b for: (i) log (ii) log (iii) log 10.
Techniques of Differentiation. I. Positive Integer Powers, Multiples, Sums, and Differences A.) Th: If f(x) is a constant, B.) Th: The Power Rule: If.

Techniques of Differentiation. I. Positive Integer Powers, Multiples, Sums, and Differences A.) Th: If f(x) is a constant, B.) Th: The Power Rule: If.
8.1.4 Can it still be factored? Factoring Completely I can factor out a common factor.

8.1.4 Can it still be factored? Factoring Completely I can factor out a common factor.
Objectives: 1.Be able to find the derivative using the Constant Rule. 2.Be able to find the derivative using the Power Rule. 3.Be able to find the derivative.

Objectives: 1.Be able to find the derivative using the Constant Rule. 2.Be able to find the derivative using the Power Rule. 3.Be able to find the derivative.
Continuity of A Function 2.2. A function f(x) is continuous at x = c if and only if all three of the following tests hold: f(x) is right continuous at.

Continuity of A Function 2.2. A function f(x) is continuous at x = c if and only if all three of the following tests hold: f(x) is right continuous at.
Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · 6 310 + - n + 3 = 0 n – 10 = 0 - 3 + 10 n = -3n = 10 =

Solving equations with polynomials – part 2. n² -7n -30 = 0 ( )( )n n 1 · 30 2 · 15 3 · 10 5 · n + 3 = 0 n – 10 = n = -3n = 10 =
Aaron Barker DEFINITION OF THE DERIVATIVE.  The Definition of the Derivative can be used to find the derivative of polynomials and exponential functions.

Aaron Barker DEFINITION OF THE DERIVATIVE.  The Definition of the Derivative can be used to find the derivative of polynomials and exponential functions.
TANGENT LINES Notes 2.4 – Rates of Change. I. Average Rate of Change A.) Def.- The average rate of change of f(x) on the interval [a, b] is.

TANGENT LINES Notes 2.4 – Rates of Change. I. Average Rate of Change A.) Def.- The average rate of change of f(x) on the interval [a, b] is.
Derivatives of Exponential and Logarithmic Functions

Derivatives of Exponential and Logarithmic Functions
MATH II – www.marlonrelles.com QUADRATICS 50-54. to solve quadratic equations. MATH III – www.marlonrelles.com MATH II – www.marlonrelles.com.

MATH II – QUADRATICS to solve quadratic equations. MATH III – MATH II –

Similar presentations

Ads by Google