Question

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Answer 1

I got 34 is that correct?

Answer 2

S(n)=∑i=1nf(M)iΔx

f(M)i would be the height of the rectangle

Answer 3

2(f(1)+f(2)+f(3)) = 2(15+12+7)

Answer 4

68?

Answer 5

which formula are you using? median?

Answer 6

Riemann Sum

Answer 7

Left Riemann sum:

\(f(0) + f(1) + f(2)\)

Middle Riemann sum:

\(f(0.5) + f(1.5) + f(2.5)\)

Right Riemann sum:

\(f(1) + f(2) + f(3)\)

Trapezoid method

\(\dfrac{f(0) + f(1)}{2} + \dfrac{f(1) + f(2)}{2} + \dfrac{f(2) + f(1)}{3}\)

Pick your favorite.

(Notice that \(\Delta x = 1\) in each case. That's why there is no \(\Delta x\) written above.)

Answer 8

does it matter which I choose?

Answer 9

No, especially since you're estimating.

Answer 10

ok so left i got 43

Answer 11

The directions say to inscribe the rectangles under the curve. Therefore, since the given function \(f\) is decreasing on \((0,3)\), it is necessary to use a right Riemann sum.

Answer 12

ohh ok thank you

Answer 13

You're welcome :)

Answer 14

nvm 34

Answer 15

Yeah 34 is what I'm getting.

Answer 16

cool thxs again:)

Answer 17

You're welcome again :)
P.S. small typo in my last post. I meant decreasing on the interval \([0,3]\).