Answer:
The given power series 
is a solution of the differential equation (1+x^2)y' + 2xy = 0
Step-by-step explanation:
This is a very trivial exercise, follow the steps below for the solution:
Step 1: Since n = 0, 1, 2, 3, 4, ........, Substitute the values of n into equation (1) below.
.....................(1)
Step 2: Find the derivative of y, i.e. y'
Step 3: Substitute y and y' into equation (2) below:
(Verified)
Since the LHS = RHS = 0, the given power series is a solution of the differential equation (1+x^2)y' + 2xy = 0
Answer:
26
Step-by-step explanation:
Let x be the first even integer
x+2 is the second even integer
x+4 is the third even integer
The sum of three consecutive even integers is 84
x+ (x+2) + (x+4) =84
Combine like terms
3x +6 = 84
Subtract 6 from each side
3x+6-6 =84-6
3x =78
Divide each side by 3
3x/3 = 78/3
x =26
The three integers are 26, 28,30
The smallest is 26
Providing 1 mile is 5280 feet, then,
It will travel,
in 15 seconds.
The correct answer is b. c=6k+55
LINE A
y-intercept : 3
x-intercept: 3
Rate of change: x (because 3/3 equals 1 and 1 times x is the same as x by itself)
Line B
y-intercept: 2
x intercept: -2
rate of change : x (because 1/1 is 1 and 1 times x is the same as x by itself)
Line C
y-intercept: -4
x intercept: 2
rate of change: 2
Line A: Equation F
Line B: Equation D
Line C: Equation E
Extra Notes:
y=mx + b is the slope intercept equation.
M is the slope
B is the y intercept
X and Y are the coordinates
To find slope, you can always use y2-y1/x2-x1 or even determine the slope on the graph by using rise over run and simplifying when possible.
(Please check my method to see if the answers are correct)
