'3 evaluate' presentation slideshows

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Vocabulary numerical expression - a mathematical sentence consisting of numbers and operations

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1.3 Find a Limit Algebraically

1.3 Find a Limit Algebraically. Pg. 59 See LIMIT Laws!. Evaluating a Limit. Methods: Substitution Factoring Simplifying Conjugate Pairs. Ex 1 : Evaluate the Limit. Ex 2 : Evaluate the Limit. Ex 3 : Evaluate the Limit. Ex 4 : Evaluate the Limit.

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1.3 Find a Limit Algebraically

1.3 Find a Limit Algebraically. Pg. 59 See LIMIT Laws!. Evaluating a Limit. Methods: Substitution Factoring Simplifying Conjugate Pairs. Ex 1 : Evaluate the Limit. Ex 2 : Evaluate the Limit. Ex 3 : Evaluate the Limit. Ex 4 : Evaluate the Limit.

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Examples

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7.2 Trig Integrals

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7.8 Improper Integrals

7.8 Improper Integrals. Infinite Limits. OR. NOTE:. Ex 1 : Evaluate. Ex 2 : Evaluate. Limits at Infinity. If f ( x ) has a VA at b :. Limits at Infinity. If f ( x ) has a VA at a :. Limits at Infinity.

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WARM UP

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9-4 Improper Integrals

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Evaluating Algebraic Expressions, given values

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Logarithmic Properties

Logarithmic Properties. Exponential Function y = b x. Logarithmic Function x = b y y = log b x Exponential Form Logarithmic Form. The logarithm is the exponent to which a base must be raised to give a power. Exponential Form Logarithmic Form. 5 3 = 125 ?

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Hence

Example 3 Evaluate the lower Riemann sum L ( P,f ) and the upper Riemann sum U ( P,f ) where P = { 0, 1/4, 1/3, 1/2, 3/4, 4/5, 1 } and f ( x ) = arctan x ,

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Example 3 Evaluate

Example 3 Evaluate

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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

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