1. Decomose the following fraction into partial fractions
(3x)/(5x^(2)-x-6)
1. Decomose the following fraction into partial fractions
(3x)/(5x^(2)-x-6)
Solutions
Expert Solution
First, We have factorised the denominator into linear factors
and then using the Method of partial Fraction, we have decomposed
the given fraction into partial fraction, as explained in the
solution provided below.
Partial Fractions: Problem 2
Use the method of partial fraction decomposition to write the
following rational expression as the sum of simpler rational
functions whose denominators are polynomials of degree 1.
−20x+20/x^2−x−56=
1.) use partial fractions to decompose each into a fraction with
a linear factor in the denominator:
a.) 2/(x+1)(x+2)
b.) 2/(y)(100-y)
c.) y/(y)(100-y)
d.) 5/x(x+1)(x-2)
e.) 2x+3/x(x+1)(x-2)
f.) x^2/x(x+1)(x-2)
2. Consider the ODE model for population growth:
a. Use separation of variables to determine the solution.
b. What is the value of y(1)?
c. What is the value of y(10)?
d. At what time will the population reach 100? At what time will
it reach 1000?
3. Consider the logistic...
if f(x) = -5x^2 sin(5x) and g(x) = x^2 -3x +9 are defined over
the interval (2,4)
write the full MATLAB commands to plot the two functions above
two functions on the same set of axes
2 find the x and y coordinate of all points of intersections
(x,y) that you can clearly see between the two graphs. Round up to
4 decimal