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Calculus Final
Calculus based problems
| Question | Answer |
|---|---|
| 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
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