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Calculus based problems

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Question
Answer
Who are considered the fathers of calculus?   Isaac Newton and Gottfried Liebniz  
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What is considered the most important computational discovery in the history of mathematics?   Fundamental Theorem of Calculus  
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what is the csc(3π/4)?   √2  
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What is the derivative of tan(x)?   sec(x)²  
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What is the intergral of the velocity of a particle?   Its position  
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Which part of the FTC states that the processes of integration and differentiation are inverses?   First Part  
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Which part of the FTC states that every continuous function has an antiderivitive?   First Part  
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What is the sin(5π/3)?   -(√2)/2  
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What is the derivitive of sinx?   cosx?  
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Which part of the FTC states that the integral of the rate of change of F(x) on [a,b] yields the net change in F(x)?   Second Part  
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What does the intergral of a curve provide?   The area under the curve  
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What is another term for derivitive   Rate of Change  
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What application of calculus did le'hopital affect?   Limits  
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What is the area of a disc?   πr²h  
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What does the double derivitive show?   Concavity  
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What is the derivite of sec(x)?   sec(x)tan(x)  
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Out of left, right, and trapezoidal summation, which tends to be the most accurate?   Trapezoidal  
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What is the cos (3π/2)?   0  
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Created by: d_drach
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