Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% o
2 answers:
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<u>Story Problem</u>
Mr. Bill Gates bought a house in Italy for and a house in Canada for
. What is the total cost of the two houses?
we know that
The total cost is the sum of the cost each house
so
therefore
the answer is
The total cost is
Answer:
Using either method, we obtain:
Step-by-step explanation:
a) By evaluating the integral:
The integral itself can be evaluated by writing the root and exponent of the variable u as:
Then, an antiderivative of this is:
which evaluated between the limits of integration gives:
and now the derivative of this expression with respect to "t" is:
b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then
is continuous on [a,b], differentiable on (a,b) and
Since this this function is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means: