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1. Consider the following differential equation with initial conditions:
t2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13.
Assume there is a solution of the form: x (t) = t r
a. Show how to find the possible values of r.
b. Show how to use the initial conditions to find a particular solution.
c. Graph your solution on the interval 0 ≤ t ≤ 10. See if you can use Maple to produce and print your graph.
Let f : R 3 → R be de?ned by: f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y
Write a procedure to obtain the inverse of an n by n matrix usingGaussian elimination. (You cannot use A - 1 or any of the built-in packages like 'MatrixInverse'.) Output any a
define even and odd function state whether given function are even odd or neither 1 f x =sin x cos x 2 f x {x}=x +x3n #Minimum 100 words accepted#
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Now let's move onto the revenue & profit functions. Demand function or the price function Firstly, let's assume that the price which some item can be sold at if there is
x=±4, if -2 = y =0 x=±2, if -2 = y = 0
Q. Find a common factor of the numerator and denominator? Ans. There's only one key step to simplifying (or reducing) fractions: find a common factor of the numerator and
give examples and solutions on my topic
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