'Solution substitute' presentation slideshows

THREE FIRES COUNCIL St. Charles, IL Special Needs Committee

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4 th EDITION

College Algebra & Trigonometry and Precalculus. 4 th EDITION. 4.5. Exponential and Logarithmic Equations. Exponential Equations Logarithmic Equations Applications and Modeling. Property of Logarithms. If x > 0, y > 0, a > 0, and a ? 1, then

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4.7 Predict with Linear Models

4.7 Predict with Linear Models. Predict!. You will make predictions using best-fitting lines. Essential Question: How can you use a best-fitting line to make predictions about data?. You they will learn how to answer this question by performing a linear regression. EXAMPLE 1.

537 views • 20 slides

11. Stability of Closed-Loop Control Systems

11. Stability of Closed-Loop Control Systems. In this chapter, we analyze the stability characteristics of closed-loop system and present several useful criteria for determining whether a system will be stable. - Closed-loop transfer function for set-point changes.

1.16k views • 14 slides

11. Stability of Closed-Loop Control Systems

11. Stability of Closed-Loop Control Systems. In this chapter, we analyze the stability characteristics of closed-loop system and present several useful criteria for determining whether a system will be stable. - Closed-loop transfer function for set-point changes.

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EXAMPLE 1

o. o. o. Find hypotenuse length in a 45-45-90 triangle. a. a. By the Triangle Sum Theorem, the measure of the third angle must be 45 . Then the triangle is a 45-45-90 triangle, so by Theorem 7.8 , the hypotenuse is 2 times as long as each leg. o. o. o. o. o. o. o.

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E3_2B3

Example 3 Evaluate the Riemann sum R ( P,T,f ) where f ( x ) = arctan x , P = { 0, 1/4, 1/3, 1/2, 3/4, 4/5, 1 } and T = { 1/8, 1/3, 5/12, 3/5, 4/5, 7/8 } . Solution Substitute into the formula

102 views • 1 slides