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1. A direction ?eld for a differential equation is shown. Draw, with a ruler, the graphs of the Euler approximations to the solution curve that passes through the origin. Use step sizes h = 1 and h = 0:5 (and two different colors).
2. Newton’s Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose you have just poured a cup of coffee with temperature 95 C in a room where the temperature is 20 C. Using Newton’s law, write a differential equation for the temperature of the coffee as a function of time. What is the initial condition?
In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t) .....................
Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai
the graph of relation y=f(x) respect to x=2 straight line is symmetrical then which is correct; (option) a) f(x+2)=f(x_2),b)f(2+x)=f(2_x),c)f(x)=f(_x),d)f(x)=_f(_x)
Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
Comparison Test for Improper Integrals Here now that we've seen how to actually calculate improper integrals we should to address one more topic about them. Frequently we ar
We know that one has to deal with numbers in day-to-day life irrespective of his inclination and field of work. Also one cannot refute the fact
real life applications of lengrange''s mean value theorem
Carl worked three more than twice as many hours as Cindy did. What is the maximum amount of hours Cindy worked if together they worked 48 hours at most? Let x = the amount of h
Using the example provided, Evaluate the area of the shaded region in terms of π. a. 264 - 18π b. 264 - 36π c. 264 - 12π d. 18π- 264 b. The area of the shaded r
On dividing p(X)=5x^(4)-4x^(3)+3x^(2)-2x+1 by g(x)=x^(2)+2 if q(x)=ax^(2)+bx+c, find a,b and c.
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