Section 4.6

Oct 30, 2012

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Population Growth. The function P (t ) = P0e kt, k > 0 can model many kinds of population growths.In this function:P0 = population at time 0,P = population after time,t = amount of time,k = exponential growth rate.The growth rate unit must be the same as the time unit.. Example. Populat

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Section 4.6

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CHAPTER 4 SECTION 4.6 NUMERICAL INTEGRATION

CHAPTER 4 SECTION 4.6 NUMERICAL INTEGRATION. Theorem 4.16 The Trapezoidal Rule. Trapezoidal Rule. a. b. Which dimension is the h? Which is the b 1 and the b 2. b 2. h. b 1. •. Instead of calculating approximation rectangles we will use trapezoids More accuracy Area of a trapezoid.

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ME 221 Statics Lecture #16 Section 4.6

ME 221 Statics Lecture #16 Section 4.6. Homework #6. Chapter 4 problems: 2, 4, 10, 11, 18, 24, 39, 42, 43 & 47 Must use integration methods to solve Due Wednesday, October 8. Quiz #4. Today. Exam #2. Friday, October 10. Last day to drop without a grade reported is: Tuesday, October 14.

609 views • 9 slides

Learning Objective for Section 4.6 Related Rates

Barnett/Ziegler/Byleen Business Calculus 11e. 2. Introduction. Related rate problems involve three variables: an independent variable (often t = time), and two dependent variables. The goal is to find a formula for the rate of change of one of the independent variables in terms of the rate of chang

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MOMENT OF A COUPLE (Section 4.6)

MOMENT OF A COUPLE (Section 4.6). Today ’ s Objectives : Students will be able to a) define a couple, and, b) determine the moment of a couple. In-Class activities : Check homework, if any Reading quiz Applications Moment of a Couple Concept quiz Group problem solving

2.9k views • 17 slides

Learning Objectives for Section 4.6

Learning Objectives for Section 4.6 . Matrix Equations and Systems of Linear Equations. The student will be able to formulate matrix equations. The student will be able to use matrix equations to solve linear systems. The student will be able to solve applications using matrix equations. .

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Section 4.6 Isosceles, Equilateral and Right Triangles

Section 4.6 Isosceles, Equilateral and Right Triangles. Review: Ways to Prove Triangles are Congruent. SSS Congruence Postulate SAS Congruence Postulate ASA Congruence Postulate AAS Congruence Theorem. NEW: Way to Prove Triangles are Congruent. H -L Congruence Theorem

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Section 4.6 – Related Rates

Section 4.6 – Related Rates. 5.5. PICK UP HANDOUT FROM YOUR FOLDER. y. L. x. 5. A 14 foot ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s , how fast will the end be moving away from the wall when the top is 6 ft above the ground ?.

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Chaos in a Pendulum Section 4.6

Chaos in a Pendulum Section 4.6. To introduce chaos concepts , use the damped , driven pendulum. This is a prototype of a nonlinear oscillator which can display chaos. The Pendulum The nonlinearity has been known for hundreds of years.

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Graphs Cosecant Section 4.6

Graphs Cosecant Section 4.6. Objectives. Graph cosecant functions Know key characteristics of the cosecant function. Section 4.5: Figure 4.49, Key Points in the Sine and Cosine Curves. Cosecant Function. We know that cosecant is the reciprocal of Sine Period: 2 

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Section 4.6

Section 4.6. Graphs of Other Trigonometric Functions. Overview. In this section we examine the graphs of the other four trigonometric functions. After looking at the basic, untransformed graphs we will examine transformations of tangent, cotangent, secant, and cosecant.

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§ 4.6

§ 4.6. Properties of the Natural Logarithm Function. Section Outline. Properties of the Natural Logarithm Function Simplifying Logarithmic Expressions Differentiating Logarithmic Expressions Logarithmic Differentiation. Properties of the Natural Logarithm Function.

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Section 4.6 Related Rates

Section 4.6 Related Rates. Spreading Like Wildfire!. A circular patch of forest is en fuego . When the radius is 80m, the fire spreads at a rate of 1000 square meters / minute. How quickly is the radius of the blaze growing at that moment?. 1. Organize Information. Identify what you know

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Section 4.6 Notes

Section 4.6 Notes. Given: y = a tan b ( x − c ) + d a = vertical stretch ( a > 1) or vertical shrink (0 < a < 1) c : phase shift d : vertical shift period =. Instead of increments, we now have asymptotes (must have at least 3 asymptotes).

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Section 4.6: Digital Signatures

Section 4.6: Digital Signatures. A problem that occurs with a public key cryptosystem deals with message authenticity. The receiver wants to be certain that the message came from the intended sender. An enemy can send a message using the recipient’s public key and pose as someone friendly.

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Section 4.6 Logarithmic Functions

Section 4.6 Logarithmic Functions. Objectives: 1. To convert between exponential and logarithmic form. 2. To evaluate logarithms of numbers. 3. To graph logarithmic functions and give their domains and ranges.

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§ 4.6

Division of Polynomials. § 4.6. dividend. divisor. 3 t. 1. Divide 6 t 2 by 2 t . Write the quotient above the term containing the t. 6t 2 + 15 t. 2. Multiply the 3 t by 2 t + 5 . Write the product under the like terms. -16 t - 40.

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Section 4.6: Slope

Section 4.6: Slope. Rebecca Fiorillo Camilla Jones Annie Gromelski. What is slope?. Slope equals Rise/Run. The slope of non-vertical line, segment, or ray containing (x 1 ,y 1 ) and (x 2 ,y 2 ) is defined by the formula m=y 2 -y 1 or m= y 1 -y 2

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4.6

Fractions and Decimals. 4.6. Writing Fractions as Decimal. Writing Fractions as Decimals To write a fractions as a decimal, divide the numerator by the denominator. Example. Write as a decimal. Thus, written as a decimal is 0.2. Writing Fractions as Decimals. Practice Problem 1a.

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Section 4.6

Section 4.6. Use Congruent Triangles. Homework. Pg 259 #3-9, 23, 26 (only prove 23, 26). Vocabulary. none. 1 2 , 3 4. GIVEN. BCE DCE. PROVE. Proof involving pairs of triangles. Use the given information to write a proof. Proof.

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Section 4.6 (Rank)

Section 4.6 (Rank). Recap Dimension. Dimension: # of vectors in basis dim Col A – number of pivot cols of A dim Nul A - # free variables in A (or number of non pivot cols of A) Note: dim Col A + dim Nul A = n. Row Space.

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Geometry Section 4.6 Isosceles Triangle Theorem

Geometry Section 4.6 Isosceles Triangle Theorem. Goals for today: 1. Identify the parts of an isosceles triangle. 2. Learn and apply the Isosceles Triangle Theorem and its converse.

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Section 4.6

Section 4.6. Solution Stoichiometry and Chemical Analysis. New Stoichiometric Approach. Chp 3 Grams of substances Used molar mass to calculate moles Chp 4 Concentration of substances Use molarity and volume to calculate moles . Molarities in Stoichiometry.

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