Answer:
the answer is 150
Step-by-step explanation:
Answer:
f(4) = 22
Step-by-step explanation:
I think that you type wrongly.
we have f(1) = -5
and f(n) = f(n-1) + 9
Find f(4)
Then
with n= 2 we have f(2) = f(1) + 9 = - 5+ 9= 4
with n= 3 we have f(3) = f(2) + 9 = 4 + 9= 13
and finally with n= 4 we find f(4) = f(3) + 9 = 13+ 9= 22
So f(4) = 22
Hope you understand.
Answer:This law of exponents can only be used when the bases are equal.
Step-by-step. explanation:
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
Answer:
The bus will travel 20km within 15 minutes
Step-by-step explanation:
