Answer:
(a) First order linear separable differential equation
(b)
(c)
(d)
Step-by-step explanation:
(b) Solve for
The domain of y is:
So the lasrgest interval I on which the solution is defined is:
(c)
Differentiate y:
Evaluate this result into the differential equation:
Therefore, the solution is correct.
(d)
Simply evaluate the function y for x=0 and solve for C1:
Finally substitute into y:
Answer:
Option 3
Step-by-step explanation:
The vertex is the maximum or minimum (in this case, maximum), which is (2,4). The axis of symmetry is the line about which the graph of the parabola is symmetric, which is x=2.
Answer:
315,000
Step-by-step explanation:
(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000
500,000-185,000=315,000
Answer:
The approximate height of the paint can is 8.2 in
Step-by-step explanation:
we know that
The volume of the cylinder ( can of paint) is equal to
we have
Substitute the values and solve for h
231=(3.14)(3)^{2} h
h=231/(3.14*9)=8.2 in
m^2 + 16m +64 = (m+8)^2
Factor using the perfect square rule.