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This is the Exam of Calculus Two for Biological Sciences which includes Numerical Sum, Approximation, Midpoint Rule, Terms, Modeled, Type Equilibrium Points, Starting Population etc. Key important points are: Rotating, Integrate, Region, Free Response, Solid Obtained, Long Rod, Average Density, Volume, Curves, Multiple Choice
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Name: ________________________ Class: ___________________ Date: __________ ID: A
Free Response
Find the area of the region.
the rod. Find the average density of the rod.
Multiple Choice Identify the choice that best completes the statement or answers the question.
____ 5. A spring has a natural length of 22 cm. If a force of 15 N is required to keep it stretched to a length of 32 cm, how much work is required to stretch it from 22 cm to 40 cm? Force to pull spring is given by
Select the correct answer. a. 3.43 J b. 1.93 J c. 2.93 J d. 3.93 J e. 2.43 J