Can someone please help with this. It should be pretty easy for someone with a programmable calculator (we can not use them in my class, therefore I do not have one). Here is the question...
With a programmable calculator (or a computer), it is possible to evaluate the expressions for the sums of areas of approximating rectangles, even for large values of n, using looping. (On a TI use the Is> command or a For-EndFor loop, on a Casio use Isz, on an HP or in BASIC use a FOR-NEXT loop.) Compute the sum of the areas of approximating rectangles using equal subintervals and right end points for n = 10, 30, 50, and 100. (Round your answers to four decimal places.) The region under
y = 5 cos x from 0 to π/2. And then guess the exact area.
I also think that it can be done in excel. But I do not have enough experience in that to do this type problem. I can find the exact area. Which I think is 5. But finding the area using 10,30,50, or 100 intervals is the problem. There should be 4 different numbers. One for each interval. Thanks in advance
With a programmable calculator (or a computer), it is possible to evaluate the expressions for the sums of areas of approximating rectangles, even for large values of n, using looping. (On a TI use the Is> command or a For-EndFor loop, on a Casio use Isz, on an HP or in BASIC use a FOR-NEXT loop.) Compute the sum of the areas of approximating rectangles using equal subintervals and right end points for n = 10, 30, 50, and 100. (Round your answers to four decimal places.) The region under
y = 5 cos x from 0 to π/2. And then guess the exact area.
I also think that it can be done in excel. But I do not have enough experience in that to do this type problem. I can find the exact area. Which I think is 5. But finding the area using 10,30,50, or 100 intervals is the problem. There should be 4 different numbers. One for each interval. Thanks in advance
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For n = 10 use
=SUMPRODUCT(PI()/2/10*5*COS(PI()/2* ROW(1:10)/10))
For n = 30, change all the 10's in the formula to 30.
=SUMPRODUCT(PI()/2/10*5*COS(PI()/2* ROW(1:10)/10))
For n = 30, change all the 10's in the formula to 30.