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Region - Calculus Two for Biological Sciences - Exam, Exams of Calculus

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: Region Bounded, Solid Obtained, Rotating, Integrals, Information, Indefinite Integrals, Solutions, Probability, Density Function, Differential Equation

Typology: Exams

2012/2013

Uploaded on 02/18/2013

abhaya
abhaya 🇮🇳

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Midterm 1: Math 30, 9/20/07
1) A region is formed by 2
4
1xy = and y=x
a) Sketch the region
b) Find the area between two curves.
c) If the region is rotated about the x axis find the volume of the solid
2) A region is formed by y = 6x – x2 and x = 0
a) Sketch the region
b) Find the area of the region
c) If the region is rotated about the x-axis, find the volume of the solid
d) If the region is rotated about the y=axis, find the volume of the solid
3) A spring with constant k = 5 N/m and rest length of .05 m is stretched additional .025
m. Find the work done. F=k(x-x0)
4) Temperature varies as )
24
sin(510)( ttT
π
+= during the day where t is in hours. What
is the average temperature during 24 hours?

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Midterm 1: Math 30, 9/20/

  1. A region is formed by 2 4

y = x and y=x

a) Sketch the region

b) Find the area between two curves.

c) If the region is rotated about the x axis find the volume of the solid

  1. A region is formed by y = 6x – x

2 and x = 0

a) Sketch the region

b) Find the area of the region

c) If the region is rotated about the x-axis, find the volume of the solid

d) If the region is rotated about the y=axis, find the volume of the solid

  1. A spring with constant k = 5 N/m and rest length of .05 m is stretched additional.

m. Find the work done. F=k(x-x 0 )

  1. Temperature varies as ) 24

T ( t ) 10 5 sin( t

= + during the day where t is in hours. What

is the average temperature during 24 hours?