Step-by-step explanation:
x*(dy/dx) +y = x*(dy/dx) +1*y=x*(dx/dy)+dx/dx*y = (d(xy) /dx)
d(xy) /dx = x^ex<->
d(xy) =xe^x*dx
We integrate both parts with their respective variables.
Integral of d(xy) is xy+c.
Integral of xe^x*dx is equal to xe^x - e^x+c.
We have to integrate by parts:
Integral(x*e^x) = x*e^x - integral((x) 'e^x) = x*e^x - integral(e^x)= x*e^x-e^x.
We have that xy + c = x*e^x - e^x + c1, where c and c1 are non defined real constants.
So we get that xy= x*e^x - e^x + c2, where c2 is a real constant.
Answer:
a) 99.95 grams are remaining after 4 years.
b) The percent of carbon-14 remaining is about 99.95%
Step-by-step explanation:
The amount of carbon 14 remaining after t years is given by the following equation:
a) Amount remaining after 4 years.
99.95 grams are remaining after 4 years.
b) Percentage remaining after 4 years:
The percent of carbon-14 remaining is about 99.95%
Since you haven't provided the radius, I'll just use the symbol 'r' to refer to radius. You can substitute with the given radius in the equation.
Now, circumference of the circle is calculated using the following rule:
curcimference of circle = 2*pi*r
where:
r is the radius
pi is given as 3.14
Therefore:
circumference of circle = 2*3.14*r = 6.28 r units
0.25kgx9.81 then u will get the ans.
To solve the above inequality we will try to isolate j by using the opposite operation of a number that we want to remove. So,
Add 8 to each sides.
By combining the like terms.
Multiply each sides by 4 to isolate j.
j<48 By simplifying.
So, the answer is j<48.
