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# Asg4 - MATH 118 —Winter 2011 Assignment 4 Due Friday...

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Unformatted text preview: MATH 118 —Winter 2011 Assignment 4 Due: Friday, February 4th 1. Textbook, Page 1051, Exercises 15.1, # 3, 15. 2. Textbook, Page 1058, Exercises 15.2, # 17, 21, 47. 3. Textbook, Page 1066, Exercises 15.3, # 13, 19, 35. 4. The equation of motion of a rocket of mass m that is launched from the surface of the earth is given by: dv mM mv— = —G 2 dx (x + R) Here, M and R are the mass and radius of the earth, respectively, and G is the gravitational constant. Find the velocity of the rocket as a function of the distance, i.e. v(x); assume that the initial velocity is v0 . 5. A source voltage V(t) is connected in series with a resistance R and an inductance L. The differential equation for the current in the circuit, z’(t), is given by: Lﬂmi = V(t) dt Suppose the source voltage is V(t) = 1‘. Find the current i(t) (assume that 1(0) 2 0 ). Recommended Problems (NOT to be handed in) Textbook, Page 1051, Exercises 15.1, # 2—18 (even), 22. Textbook, Page 1058, Exercises 15.2, # 2-22 (even), 30, 38, 48, 50. Textbook, Page 1066, Exercises 15.3, # 2-14 (even), 18, 20, 30, 36. ...
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