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Numberline - Calculus - Exam, Exams of Calculus

Aliah UniversityCalculus

This is the Exam of Calculus which includes main points like Rambling, Rabbits, Proportional, Property, Preceding, Possible Solutions, Possible Antiderivatives etc. Key important points are: Numberline, Values, Differential Equation, Solution, Position, Acceleration, Initial Value Problem, Formula, Object, Values

Typology: Exams

2012/2013

Uploaded on 03/06/2013

jojy
jojy 🇮🇳

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Math 105 A and B INITIALS
Exam III, page 1. March 17, 2006
1. Find all values of Aand Bfor which f(x)=eAx +Bx2is a solution of the differential equation
y00 +12y=7y0.
2. An object moves along a numberline with position p(t), velocity v(t) and acceleration a(t). Suppose
that the acceleration is a(t)=12t2+ 16 (ft/sec2), and the velocity at t= 1 is 8 (ft/sec). Suppose
also the position at t= 1 is 4 ft.
2a. What initial value problem (IVP) is set up to find the formula for v(t)?
2b. Solve the IVP in 2a.
2c. What IVP is set up to find the formula for p(t)?
2d. Solve the IVP in 2c.
2e. Where is the object at t=0?
pf3
pf4
pf5

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Math 105 A and B Exam III, page 1.1. Find all values of (^) A and B for which f(x) = eAx (^) + Bx (^2) is a solution of the differential equationINITIALS March 17, 2006 y′′^ + 12y = 7y′.

  1. An object moves along a numberline with positionthat the acceleration isalso the position at t = 1 is 4 ft. a(t) = 12t (^2) + 16 (ft/sec (^2) ), and the velocity at p(t), velocity v(t) and acceleration t = 1 is 8 (ft/sec). Suppose a(t). Suppose 2a. What initial value problem (IVP) is set up to find the formula for v(t)? 2b. Solve the IVP in 2a. 2c. What IVP is set up to find the formula for p(t)? 2d. Solve the IVP in 2c. 2e. Where is the object at t = 0?