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by: nichl

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# Calculus I L6 - Exponentials 01:640:135

Marketplace > Rutgers University > Mathematics > 01:640:135 > Calculus I L6 Exponentials
nichl
Rutgers

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Logarithms, exponential, e, Euler, interest, continuity
COURSE
Calculus I
PROF.
Dr. Kontorovich
TYPE
Class Notes
PAGES
2
WORDS
CONCEPTS
Calculus, Math, exponentials, Logarithmic
KARMA
25 ?

## Popular in Mathematics

This 2 page Class Notes was uploaded by nichl on Monday September 26, 2016. The Class Notes belongs to 01:640:135 at Rutgers University taught by Dr. Kontorovich in Fall 2016. Since its upload, it has received 7 views. For similar materials see Calculus I in Mathematics at Rutgers University.

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Date Created: 09/26/16
Calculus I Lecture 6 9/23/16 Continuity: f is continuous at point c if lim ????(????)exists and ????(????) exists and lim ???? ???? = ????(????) ????→???? ????→???? Exponential Functions ???? ???? ???? = ???? is the continuous function defined along ???? = by ????( ) = √ ???????? ???? ???? ???? −???? ???? ???? = 2 ∶ ???? ???? = −2 : Examples: ???? +3 Solve for x: 2 = 16 2???? +3 = 2 4 So: ???? = ±1 Solve for x: 2 ∗3+1 = 108 ???? ???? 1 2 ∗ 3 ∗ 3 = 108 2 ∗ 3 = 36 (2 ∗ 3???? = 36 ???? = 2 6 = 37 log ???? = ???? or 6 = ???? 6 Calculus I Lecture 6 9/23/16 e and Logs ???? = 2.71… Euler’s number In compound interest: 12 Compounded monthly, 2% APY, \$100 principal: 100[ 1+ 0.0) ] 12 ???? General formula: ???? = ???? 1 + ???? ) ???? ???????? Continuously compounding: ????????

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