Answer:
The general solution is

+ 
Step-by-step explanation:
Step :1:-
Given differential equation y(4) − 2y''' + y'' = e^x + 1
The differential operator form of the given differential equation
comparing f(D)y = e^ x+1
The auxiliary equation (A.E) f(m) = 0




The roots are m=0,0 and m =1,1
complementary function is 
<u>Step 2</u>:-
The particular equation is 
P.I = 
P.I = 
P.I = 



applying in integration u v formula

= 





again integration 
The general solution is 

+ 
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.
Answer:
13.9 or 14
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = 197
square root 197 to get c
c = 13.9 (14 rounded up)
Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle
Answer:
rationalize my skill capability
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
2/5 times -10 = -4