R/2=(r-4)/7 how do i solve this?
2 answers:
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Answer:
A = 68 unit^2
Step-by-step explanation:
Given:-
The piece-wise function f(x) is defined over an interval as follows:
f(x) = { x^2+3x+4 , x < 3
f(x) = { x^2+3x+4 , x≥3
Domain : [ -3 , 4 ]
Find:-
Find the area of the region enclosed by f(x) and the x axis
Solution:-
- The best way to tackle problems relating to piece-wise functions is to solve for each part individually and then combine the results.
- The first portion of function is valid over the interval [ -3 , 3 ]:
- The area "A1" bounded by f(x) is given as:
Where, The interval of the function { -3 , 3 ] = [ a , b ]:
- Similarly for the other portion of piece-wise function covering the interval [3 , 4] :
- The area "A2" bounded by f(x) is given as:
Where, The interval of the function { 3 , 4 ] = [ a , b ]:
- The total area "A" bounded by the piece-wise function over the entire domain [ -3 , 4 ] is given:
A = A1 + A2
A = 42 + 26
A = 68 unit^2
Answer 22
step by step explanation
I divided 64 since that's the opposite of multiplying to get h by itself
this could be your answer if you want it as terms of pi but if you say pi is 3.14 then you keep going and divide 69.08 by 3.14 to get h by itself
then you get the answer
hopefully this helps