Clicker Questions Friday Sep. 4, 2009

Slides:



Advertisements
Similar presentations
y x y=x-2 y=x+2 Slopes are the same y x y=2x-4 y=2x+1 Slopes are the same.
Advertisements

Warm-Up Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Find the point where the line crosses the vertical axis. What does.
For example: Could you tell that the equations y=2x +1 and y= 2x-7 have no solution? Can you look at a system of linear equations and tell how many solutions.
Bellwork Find the slope of the line containing the points (-1,12) and (5,-6). Find the product of the slope and y-intercept for the line y=-5x+7. Write.
Math Minutes 1/20/ Write the equation of the line.
Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.
By: Andrea Bruno & William Wade. The BasicsPractice Problems Above & BeyondLinks For More Help and Games Just Click the Picture to go to that section.
3.1 Solving Linear Systems by Graphing
A Numerical Technique for Building a Solution to a DE or system of DE’s.
Question A: What does the differential equation y’=2y tell you about the slope of the solution curves at any point??
Determine whether (2, 4) is a solution for y= 5x-6.
Slope Fields. Quiz 1) Find the average value of the velocity function on the given interval: [ 3, 6 ] 2) Find the derivative of 3) 4) 5)
Answers. Write the Formulas Slope Formula y₂-y₁ x₂-x₁ Point Slope Form y-y₁=m(x-x₁) Slope-intercept Form y=mx+b.
GraphingSubstitutionEliminationNon-LinearInequalities
C.3.3 – Slope Fields – Graphical Solutions to DE Calculus - Santowski 11/16/20151Calculus - Santowski.
CHAPTER Continuity Euler’s Method Euler’s idea was to improve on linear approximation by proceeding only a short distance along the tangent line.
Slope Fields. What are slope fields? Graphical representation of the slope of a function at different points in the plane. Since we are given the differential.
Section 6-1 continued Slope Fields. Definition A slope field or directional field for a differentiable equation is a collection of short line segments.
EXAMPLE 1 Identifying Slopes and y -intercepts Find the slope and y -intercept of the graph of the equation. a. y = x – 3 b. – 4x + 2y = 16 SOLUTION a.
Activity 2 Practice.
Lesson 58 – Slope Fields – Graphical Solutions to DE
Differential Equations Sec 6.3: Separation of Variables.
Class 7: Answers 1 (C) Which of the following matrices below is in reduced row echelon form? A B C D. None of them.
FINDING THE SLOPE FROM 2 POINTS Day 91. Learning Target: Students can find the slope of a line from 2 given points.
Question 1: What is the order of the following differential equation? A) 1 B) 2 C) 3 D) 4 E) Impossible to say.
1.1 Solving Linear Systems by Graphing 9/14/12. Solution of a system of 2 linear equations: Is an ordered pair (x, y) that satisfies both equations. Graphically,
COMPASS Practice Test 14  A.  B.  C. 1. What is the value of when x = -5?  D. -3  E. 3.
Systems of Linear Inequalities AII, 2.0: Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.
Slope Fields (6.1) March 12th, I. General & Particular Solutions A function y=f(x) is a solution to a differential equation if the equation is true.
Differential Equations Linear Equations with Variable Coefficients.
Warm Up. Solving Differential Equations General and Particular solutions.
Warm Up Tell whether the system has one solution, no solution, or infinitely many solutions.
Set #1, Question E: TRUE or FALSE: “A differential equation is a type of function.” A. TRUE B. FALSE.
A little review: Consider: then: or It doesn’t matter whether the constant was 3 or -5, since when we take the derivative the constant disappears.
6.1 Slope Fields and Euler’s Method. Verifying Solutions Determine whether the function is a solution of the Differential equation y” - y = 0 a. y = sin.
1 6.1 Slope Fields and Euler's Method Objective: Solve differential equations graphically and numerically.
SATMathVideos.Net If Line A passed through points (1,1) and (3,2). And Line B (not shown) is perpendicular to Line A. Which equation represents Line B?
Differential Equations
Clicker Questions Friday Sep. 3, 2010
6.1 – 6.3 Differential Equations
Differential Equations
Warm-Up Section8.1 (Add to Separate Piece of Paper)
Specialist Mathematics
Warm Up Determine for y2 + xy + 3x = 9.
Graphing Quadratic Inequalities
AP Calculus Honors Ms. Olifer
Question 1: How many equilibria does the DE y’=y2+a have?
Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx / dy. y 4 + x 2y 2 + yx 4 = y + 7 {image}
Calculus II (MAT 146) Dr. Day Monday, March 19, 2018
Implicit Differentiation
Finding the Potential from the Electric Field
Solve the differential equation. {image}
(This is the slope of our tangent line…)
Clicker Questions Friday Sep. 4, 2009
Clicker Questions for Class #5 Friday Sep. 6, 2013
Problem: we can’t solve the differential equation!!!
Numerical Solutions of Ordinary Differential Equations
Clicker Questions Friday Sep. 4, 2009
Ordinary Differential Equations
Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.
Choose the differential equation corresponding to this direction field
2.5 The Chain Rule.
9/18/ Bell Work Write and answer the following questions.
Clicker Questions October 14, 2009
Reading Between the Lines!
COMPASS Practice Test 16.
Clicker Questions Friday Sep. 4, 2009
Indicator 16 System of Equations.
Slope-Intercept Form of an Equation
Slope Intercept Form Algebra 1 Unit 4 Lesson 2.
Presentation transcript:

Clicker Questions Friday Sep. 4, 2009 Question A: What does the differential equation y’=2y tell you about the slope of the solution curves at any points??

Clicker Questions Friday Sep. 4, 2009 Question B: The slope field below indicates that the differential equation has which form? y’=f(t) y’=f(y) y’=f(t,y) None of the above. We don’t have enough information to answer

Clicker Questions Friday Sep. 4, 2009 Question C: The slope field below indicates that the differential equation has which form? y’=f(t) y’=f(y) y’=f(t,y) None of the above. We don’t have enough information to answer

Question 1: Which of the following DEs would generate the slope field? Clicker Questions Friday Sep. 4, 2009 Question 1: Which of the following DEs would generate the slope field? y’=1/x y’=1/y y’=exp(-x2) y’=y2-1 y’=(x+y)/(x-y) y’=sin(x)sin(y)

Question 2: Which of the following DEs would generate the slope field? Clicker Questions Friday Sep. 4, 2009 Question 2: Which of the following DEs would generate the slope field? y’=1/x y’=1/y y’=exp(-x2) y’=y2-1 y’=(x+y)/(x-y) y’=sin(x)sin(y)

Question 3: Which of the following DEs would generate the slope field? Clicker Questions Friday Sep. 4, 2009 Question 3: Which of the following DEs would generate the slope field? y’=1/x y’=1/y y’=exp(-x2) y’=y2-1 y’=(x+y)/(x-y) y’=sin(x)sin(y)

Question 4: Which of the following DEs would generate the slope field? Clicker Questions Friday Sep. 4, 2009 Question 4: Which of the following DEs would generate the slope field? y’=1/x y’=1/y y’=exp(-x2) y’=y2-1 y’=(x+y)/(x-y) y’=sin(x)sin(y)

Question 5: Which of the following DEs would generate the slope field? Clicker Questions Friday Sep. 4, 2009 Question 5: Which of the following DEs would generate the slope field? y’=1/x y’=1/y y’=exp(-x2) y’=y2-1 y’=(x+y)/(x-y) y’=sin(x)sin(y)

Question 6: Which of the following DEs would generate the slope field? Clicker Questions Friday Sep. 4, 2009 Question 6: Which of the following DEs would generate the slope field? y’=1/x y’=1/y y’=exp(-x2) y’=y2-1 y’=(x+y)/(x-y) y’=sin(x)sin(y)