10 minutes. You see the dip or the part of the graph where it's lower than the other points? Look at how many minutes went past.
Answer:
Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable
Step-by-step explanation:
We are given the Function
f(x) =
The two basic hypothesis of the mean valued theorem are
- The function should be continuous in [0,2]
- The function should be differentiable in (1,2)
upon checking the condition stated above on the given function
f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph
also the f(x) is differentiable in (0,2)
f'(x) = 6x - 2
Now the function satisfies both the conditions
so applying MVT
6x-2 = f(2) - f(0) / 2-0
6x-2 = 9 - 1 /2
6x-2 = 4
6x=6
x=1
so this is the tangent line for this given function.
Hey!! here is your answer --
1) tan30° = √3/3
2) cot30° = √3
3) sec30° = (2√3)/3
★ hope you like it ★
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<span>I believe this question is referring to purchasing a discount on a loan's interest rate by putting more towards closing costs. For mortgages, sometimes they will allow you to "buy" a smaller interest rate. For example:
Loan A has an interest rate of 4.5% and no closing costs.
Loan B has an interest rate of 4.375%, but has $1000 in closing costs.
Normally, Loan A would be the better choice if you plan on keeping the home short term, but Loan B would be more beneficial for keeping the loan long-term. I don't really care to spend the time that is necessary to come up with an actual scenario, but I hope that helps enough for you to understand the question</span>
