The function f(x) = –0.3(x – 5)2 + 5 is graphed. What are some of its key features? Check all that apply.
2 answers:
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Answer:
Step-by-step explanation:
1.
To write the form of the partial fraction decomposition of the rational expression:
We have:
2.
Using partial fraction decomposition to find the definite integral of:
By using the long division method; we have:
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So;
By using partial fraction decomposition:
x + 20 = A(x + 2) + B(x - 10)
x + 20 = (A + B)x + (2A - 10B)
Now; we have to relate like terms on both sides; we have:
A + B = 1 ; 2A - 10 B = 20
By solvong the expressions above; we have:
Now;
Thus;
Now; the integral is:
3. Due to the fact that the maximum words this text box can contain are 5000 words, we decided to write the solution for question 3 and upload it in an image format.
Please check to the attached image below for the solution to question number 3.
Answer:
33.49 cubic inches
Step-by-step explanation:
