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Exchange - Calculus One - Exam, Exams of Calculus

National Institute of Industrial EngineeringCalculus

This is the Exam of Calculus One which includes Sigma Notation, Average Value, Value, Mean Value Theorem, Shaded Region, Riemann Sums, Partition, Max Min Inequality, Find Upper, Lower Bounds etc. Key important points are: Exchange, Function, Increasing, Product Rule, Base Formula, Product Rule, Represent, Population, Original Amount, Bacteria

Typology: Exams

2012/2013

Uploaded on 02/25/2013

abduu
abduu 🇮🇳

4.4

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Test 3 GEEN 1345 April 26, 2006 You must show all work to receive credit. 1. (14) Consider the function y— 2x* -1, a) prove whether it has an inverse or not b) if it has an inverse, find it 2. (21) Find the derivatives of the following functions: a) y= 2' Ine b) y= "log, ¢ oy= ( 2z- Hint: use log differentiation (do not simplify) z+ ay sin? z 3. (14) Integrate the following: a) frtan b} fe costdt 4. (14) Solve the following equations: a) 16% =2*" b) Ine? =16 5. (14) Find the following limits: a) fim = 7e08% b) tin +5) x x00 gF —y—] x9 6. (14) Which of the following functions grows faster? Or do they grow at the same rate? a) f(x)= log, x OR g(x) = log, x b) fx)= ; OR g(x) = xe* 7. (9) Ifacertain bacteria is dying off at a rate of 30% every year, how long will it take until there is only 40% of the original amount left?