Devin is investigating the relationship between the temperature in degrees Fahrenheit and the number of gallons sold at a lemona
2 answers:
You might be interested in
Answer:
y = -2*x^3 - x + 2
Step-by-step explanation:
We want to solve the differential equation:
y'' + 12*x = 0
such that:
y(0) = 2
y'(0) = -1
We can rewrite our equation to:
y'' = -12x
if we integrate at both sides, we get:
Solving that integral we can find the value of y', so we will get:
y' = -12* (1/2)*x^2 + C = -6*x^2 + C
where C is the constant of integration.
Evaluating y' in x = 0 we get:
y'(0) = -6*0^2 + C = C
and for the initial value problem, we know that:
y'(0) = -1
then:
y'(0) = -1 = C
C = -1
So we have the equation:
y' = -6*x^2 - 1
Now we can integrate again, to get:
y = -6*(1/3)*x^3 - 1*x + K
y = -2*x^3 - x + K
Where K is the constant of integration.
Evaluating or function in x = 0 we get:
y(0) = -2*0^3 - 0 + K
y(0) = K
And by the initial value, we know that: y(0) = 2
Then:
y(0) = 2 = K
K = 2
The function is:
y = -2*x^3 - x + 2
Kayla can make 50 ribbons for the show using 32 feet ribbon
<u>Solution:</u>
Given, Kayla's making ribbons for school spirit day a roll of ribbon is 32 ft long And for each individual ribbon she needs 0.64 ft
We have to find how many ribbons can she make for her old show.
Number of ribbons that can be made is found out by dividing total available ribbon by ribbon length required for single ribbon
Hence, Kayla can make 50 ribbons for the show using 32 feet ribbon.