Let r = (t,t^2,t^3)
Then r' = (1, 2t, 3t^2)
General Line integral is:
The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector
Fortunately, this simplifies nicely with a 'u' substitution.
Let u = 1+4t^2 +9t^4
du = 8t + 36t^3 dt
After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
Answer:
Step-by-step explanation:
The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.
According to the graph, the data set has 9 elements.
The 5th number in the set is the median, which is 14
2 is the shortest and 11 is the longest
Answer:
Step-by-step explanation:
- <em>Use the calculator provided to solve the following problems.
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- <em>Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places.
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- <em>Consider a t distribution with 5 degrees of freedom. Find the value of c such that P(t≤c)=0.05 . Round your answer to at least three decimal places.</em>
I do believe the answer is 9