HELP PLEASE)..Estimate the area of the given function, f(x) = x2 + 1 using 4 inscribed rectangles on the interval [2, 4].
@mathsmind this one first tho
what i understand is that we have to integrate between 2 and 4
i am having some problems it says [Math Processing Error]
\[int_{2}^{4} x^2 dx\]
or is it about drawing estimating the area of the parabula using blocks of squares...
i dont know but this one is too hard :( its worth 7.0 pts im so confused, i feel like crying
\[int_{2}^{4} x^2 dx \]
this work is getting to hard for me
well you have to suffere the pain of knowledge and hardship for a better future, we all went through hard times ...
you should fight back and not let the questions beat you ...
i think this question is saying estimate the area using rectangles, on a proper sheet
so first of all we need to divid the interval
what i mean by that is to divide the interval into 4 sub inscribed intervals
let it be 2, 2.5, 3, 3.5 and 4 because they 2 and 4 are included in the interval using square brackets notation...
okay,i'm working on it
are you with me, this is the logic of the question from my understanding
I am sorry that the equation editor is not functioning propely for me, probably due to browser issue, or technical problem with open study...
A = 0.5[f(2)+f(2.5)+f(3)+f(3.5)+f(4)
i'm looking,i'm here trying to understand
so what is f(2)=?
now before that the reason why i divided the intervals by a step of 0.5 is due to the fact that dx = (4-2)/4=0.5, hence 2, 2.5...etc
let me help you on the first one f(2) = (2)^2+1=4+1=5
what is f(3)=?
what is f(2.5)=?
what is f(3.5)=?
and finally what is f(4)=?
give me a coplue mins as i work on finish another problem
i don't understand how you got the f(2)= part
ok i will solve it i am replying to 287489327498732987498237 posts at the same time ... hehehe
lol okay, i can't keep hogging you,ill be working on others as i wait.
now young lady, let's see what your problem is...
step one: dx = (4-2)/4 = 1/2=0.5
step two divide the interval [2, 4] into [2, 2.5, 3, 3.5, 4]
step three find : A = 0.5[f(2)+f(2.5)+f(3)+f(3.5)+f(4)]
f(2) =(2)^2+1=5, f(2.5)=(2.5)^2+1= 7.25. f(3)=(3)^2+1=10, f(3.5)=(3.5)^2+1=13.25, and f(4) = (4)^2+1=17
: A = 0.5[5+7.25+10+13.25+17]=? use the calculator
@Ephilo are you there...?
yes im writing it on paper
you need to understand what we did, it is a numerical integration method ....
i understand
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