Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
The given function is
i) We factor the numerator to obtain;
The vertical asymptote is where the denominator is zero.
V.A: 
ii) The roots are the zeros of the numerator;
Roots:
iii) At y-intercept 
.
Put into the function and solve.
Y-int: 
iv) Horizontal asymptote.
This is an improper rational function.
It has no horizontal asymptote.
v) Holes:
The given rational function has no common factors in both the numerator and the denominator.
Therefore the function has no holes.
6) For oblique Assymptote, we divide using lond division or synthetic division;
1 -1 -2
5| <u> 5 20</u>
1 4 18
The quotient is 
The oblique asymptote is
If you get confused by logarithms, here's an easier way to think about this problem: What power of 2 equals 128? Well, we know 2^3 = 8, then 2^4 must equal 16. Doubling every times, we get 2^5 = 32, 2^6 = 64 and 2^7 = 128. So, the value of log₂128 is 7.
<h2> <u>Explanation</u><u>:</u></h2>
By first equation,
Therefore, the values of x and y are -8/9 and 112/36 respectively.
Answer:
One solution
Step-by-step explanation:
Hi,
3(x + 5) = -4x + 8
3x + 15 = -4x + 8
7x + 15 = 8
7x = -7
x = -1
One solution :)
