Answer:
amplitude = 3
period =
Step-by-step explanation:
Comparing the equation with the general equation :
Where :
A = amplitude
period =
D = vertical shift
Therefore : with the comparison :
amplitude = /-3/ = 3
period =
Look kid, this question has been up for 3 hours think its time to let it go......... hoped i helped. ✔verified✔
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
The answer is 1 :) . i hope i helped ❤️.
Answer:
They are the same
Step-by-step explanation:
One hundred draws are made at random.
The average of a list of numbers equals the sum of the numbers divided by how many numbers there are.
So, when the sum of the 100 draws is 710, the average of the draws will be
710/100 = 7.1
So, when the sum of the draws is bigger than 710, the average of the draws will be bigger than 7.1.
Therefore, the two chances are the same.