Question

In: Math

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.


Related Solutions

What is the partial fraction decomposition of 5x^2/((x+1)(x^2+3x+2)(x^2+4))
What is the partial fraction decomposition of 5x^2/((x+1)(x^2+3x+2)(x^2+4))
Partial Fractions: Problem 2 Use the method of partial fraction decomposition to write the following rational...
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...
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...
How do you find the domain of: f(g)= 5x^2+4 f(g)= 3x; -2<x<6 f(g)= (1) / 3x-6...
How do you find the domain of: f(g)= 5x^2+4 f(g)= 3x; -2<x<6 f(g)= (1) / 3x-6 f(g)= (x+2) / x^2-1 f(g)= x^4 / x^2+x-6 f(g)= sqrt (x+1) f(g)= sqrt (x^2+9)
if f(x) = -5x^2 sin(5x) and g(x) = x^2 -3x +9 are defined over the interval...
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
Evaluate the integral using partial fractions. ∫▒( x+3)/((x-9)^2 (x+2))
Evaluate the integral using partial fractions. ∫▒( x+3)/((x-9)^2 (x+2))
Calculate the integrals given below using partial fractions: a) [int] 1/(x^2 - a^2) dx a is...
Calculate the integrals given below using partial fractions: a) [int] 1/(x^2 - a^2) dx a is a fixed positive real number b) [int] 1/(x^4 - 1) dx c) [int] 1/(x^2 + x) dx d) [int] 1/(x^2 - 4x - 5) dx e) [int] 1/(x^2 - 3x - 5) dx f) [int] exp(x) / (exp(4x) - 5exp(2x) + 4) dx
Calculate the integrals given below using partial fractions: a) [int] 1/(x^2 - a^2) dx a is...
Calculate the integrals given below using partial fractions: a) [int] 1/(x^2 - a^2) dx a is a fixed positive real number b) [int] 1/(x^4 - 1) dx c) [int] 1/(x^2 + x) dx d) [int] 1/(x^2 - 4x - 5) dx e) [int] 1/(x^2 - 3x - 5) dx f) [int] exp(x) / (exp(4x) - 5exp(2x) + 4) dx
Question# 2 –A Max 7x 1 + 5x 2 S.t x 2 < 6 (1)   ...
Question# 2 –A Max 7x 1 + 5x 2 S.t x 2 < 6 (1)    3x 1 + 2x 2 < 18 (2)    x 1 + x 2 < 8 ( 3)    x 1 > 0 and x 2 > 0 Question #2-B IF we increase s.t two 12 hours & three 8 hours (MAX profit)
\int \frac{x^6+5x^4+4x-3}{\left(x^2+3x+5\right)\left(x^2+7x+12\right)}dx
\int \frac{x^6+5x^4+4x-3}{\left(x^2+3x+5\right)\left(x^2+7x+12\right)}dx
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT