l Verizon ?10:53 PM87%Done3 of 3Instructor-created questionFor y = 5-x, Osxs2 sketch the graph of the function, and then for the region below y = 5-xa) Sketch 4 circumscribed rectangles and find (Sa) overestimateb) Sketch 4 inscribed rectangles and find (S,) underestimatec) For positive integer "n" find (Sn) overestd) For positive integer "n" find (Sn) undereste) Find the area of the region by finding the limit: lim(S,) where S, is from part (c) or (d)|(5-x²) dxf) Check your answer by evaulating)+f( 1 )+f()+f( 2 )] =unitsAx =2: S4) underestimate = Ax[f(5c) For positive integer "n" find (Sn) overestAx =; For (S)overest k =a+ (k -1)Ax = 0+ (k - 1)- (in terms of k and n)2 2JAx in terms of k and n)S,Σ) ΔΣ15-(Κ- 1ink= 1пS, = x)Ax = 10 +( -34 n(n - 1)(2n - 1)4.=10-2-n°k=1d) For positive integer "n" find (Sn) underest2Ax =; For (S)underest => C = a+kAx= 0 + k-: (in terms of k and n)s,- Σ ) Δκ Σ15-κJAx; (in terms of k and n)k= 1k=1n(n + 1)(2n + 1)S = Y flcAy = 10 +10-Question is complete.All parts showing!!

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Asked Mar 26, 2020
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l Verizon ?
10:53 PM
87%
Done
3 of 3
Instructor-created question
For y = 5-x, Osxs2 sketch the graph of the function, and then for the region below y = 5-x
a) Sketch 4 circumscribed rectangles and find (Sa) overestimate
b) Sketch 4 inscribed rectangles and find (S,) underestimate
c) For positive integer "n" find (Sn) overest
d) For positive integer "n" find (Sn) underest
e) Find the area of the region by finding the limit: lim(S,) where S, is from part (c) or (d)
|(5-x²) dx
f) Check your answer by evaulating
)+f( 1 )+f(
)+f( 2 )] =
units
Ax =
2: S4) underestimate = Ax[f(5
c) For positive integer "n" find (Sn) overest
Ax =
; For (S)overest k =a+ (k -1)Ax = 0+ (k - 1)- (in terms of k and n)
2 2
JAx in terms of k and n)
S,Σ) ΔΣ15-(Κ- 1
in
k= 1
п
S, = x)
Ax = 10 +( -
3
4 n(n - 1)(2n - 1)
4.
=10-
2-
n°
k=1
d) For positive integer "n" find (Sn) underest
2
Ax =
; For (S)underest => C = a+kAx= 0 + k-: (in terms of k and n)
s,- Σ ) Δκ Σ15-κ
JAx; (in terms of k and n)
k= 1
k=1
n(n + 1)(2n + 1)
S = Y flcAy = 10 +
10-
Question is complete.
All parts showing
!!
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l Verizon ? 10:53 PM 87% Done 3 of 3 Instructor-created question For y = 5-x, Osxs2 sketch the graph of the function, and then for the region below y = 5-x a) Sketch 4 circumscribed rectangles and find (Sa) overestimate b) Sketch 4 inscribed rectangles and find (S,) underestimate c) For positive integer "n" find (Sn) overest d) For positive integer "n" find (Sn) underest e) Find the area of the region by finding the limit: lim(S,) where S, is from part (c) or (d) |(5-x²) dx f) Check your answer by evaulating )+f( 1 )+f( )+f( 2 )] = units Ax = 2: S4) underestimate = Ax[f(5 c) For positive integer "n" find (Sn) overest Ax = ; For (S)overest k =a+ (k -1)Ax = 0+ (k - 1)- (in terms of k and n) 2 2 JAx in terms of k and n) S,Σ) ΔΣ15-(Κ- 1 in k= 1 п S, = x) Ax = 10 +( - 3 4 n(n - 1)(2n - 1) 4. =10- 2- n° k=1 d) For positive integer "n" find (Sn) underest 2 Ax = ; For (S)underest => C = a+kAx= 0 + k-: (in terms of k and n) s,- Σ ) Δκ Σ15-κ JAx; (in terms of k and n) k= 1 k=1 n(n + 1)(2n + 1) S = Y flcAy = 10 + 10- Question is complete. All parts showing !!

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Expert Answer

Step 1

Hi! We are answering for the red circulated part of the question.

Note:

For over estimation (upper Riemann sum),

Advanced Math homework question answer, step 1, image 1

where, f(ck) = sup f([ck-1, ck]).

 

Step 2

Let us draw the graph for better understanding.

Advanced Math homework question answer, step 2, image 1

Notice that the function is a strictly decreasing function in the interval [0,2].

So, the supremum of the function will exists at ck-1 in the interval [ck-1, ck].

And 

Advanced Math homework question answer, step 2, image 2

 

 

 

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