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# Calculus Final

### Calculus based problems

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