The dimensions of a triangle are represented by the functions shown. Which function represents the area of the triangle, g(x) =
1/2 f(x)h(x)
A) g(x) = 12x2 + 6x
B)g(x) = 12x2 - 6x
C) g(x) = 24x2 – 12x
D) g(x) = 12x-6 
A) g(x) = 12x2 + 6x
B)g(x) = 12x2 - 6x
C) g(x) = 24x2 – 12x
D) g(x) = 12x-6
2 answers:
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Answer:
So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ
We can reorder the expression like this:
We can use the substitution and
so then we have:
IF we integrate both sides we got:
If we apply exponential in both sides we got:
And if we replace w = u-T we got:
We can also express the solution in the following terms:
For this case we know that since w ehave a cooloing,
, we have this model:
And if we want that the temperature would be 32F we can solve for t like this:
If we apply natural logs on both sides we got:
So it would takes approximately 6.9 hours to reach 32 F.