Answer:
k = 30, 
Step-by-step explanation:
Since 
is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that
Then, replacing the derivatives in the equation we have:
Since 
is a positive function, we have that
.
Now, consider a general solution 
, then, by calculating the derivatives and replacing them in the equation, we get
We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is
Answer:
Step-by-step explanation:
let the integers be x and y
x+y=-20
y=-20-x
xy=99
x(-20-x)=99
-20x-x²=99
x²+20x+99=0
x²+11x+9x+99=0
x(x+11)+9(x+11)=0
(x+11)(x+9)=0
x=-11,-9
when x=-11
-11+y=-20
y=-20=11=-9
when x=-9
-9+y=-20
y=-20+9=-11
so integers are -11,-9
Answer:
1.(1,5) and (2,6) , 6-5/2-1=1/1 m=1 ,y=1x+b
5=1(1)+b 4=b
y=x+4
2.(1,1) and (3,-8) -8-1/3-1=-9/2 m=-9/2 ,y=-9/2x+b
1=-9/2(1)+b b=11/2
y=-9/x+11/2
3.(2.-3) and (5,-2) m=1/3 ,y=1/3x+b
-3=1/3(2)+b -3=2/3+b
-3-2/3=b
b=-11/3
y=1/3x-11/3
4.(2,5)and (4,3) m=-1 y=-1x+b
5=-1(2)+b 5=-2+b
5+2=b
b=7
y=-1x+7
6.(-3,-5) and (-1,-3) m=2/2=1 y=1x+b
-5=1(-3)+b -5=-3+b
-5+3=b
-2=b
y=1x-2
Step-by-step explanation:
Answer:
52 R17
Step-by-step explanation:
52 * 36 = 1872
1889 - 1872 = 17
--> 52 R17
