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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?
If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans: d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,
(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 ) x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is
Evaluate the given definite integral. Solution Let's begin looking at the first way of dealing along with the evaluation step. We'll have to be c
help me on thus subject pls
Topic 1: Statistical Studies Find two different news stories in a mainstream media source (CNN, FoxNews, Newsweek, etc.), that cite data from a recognized poling agency. Locate th
i need help in discrete mathematics on sets, relations, and functions.
how to know if it is function and if is relation
verify liouville''s theorem for y''''''-y''''-y''+y=0
Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the
A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2
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