Question

Estimate the area under the graph of f(x)=x2+3x from x=1 to x=4 using 33 approximating rectangles and left endpoints.

Approximation =

Answer #1

Estimate the area under the graph of f(x)=x2+4x from x=2 to x=10
using 4 approximating rectangles and left endpoints. Approximation
=

Estimate the area under the graph of f(x)=f(x)=3x^2+6x+7 over
the interval [0,5] using ten approximating rectangles and
right endpoints.
Repeat using left endpoints.

Estimate the area under the graph of f(x)=1/(x+2) over the
interval [0,3]using eight approximating rectangles and
right endpoints.
Rn=
Repeat the approximation using left endpoints.
Ln=

Estimate the area under the graph of f(x)=1/x from x=1
to x=2 using four approximating rectangles and left endpoints.

Estimate the area under the graph of f(x)=1/(x+3) over the
interval [−2,1] using ten approximating rectangles and
right endpoints. a=-2,b=1,n=10
Rn=?
Repeat the approximation using left endpoints.
Ln?
Accurate to 4 places.

Estimate the area under the graph of
f(x)=1x+1f(x)=1x+1 over the interval [2,7][2,7] using eight
approximating rectangles and right endpoints.
Rn=Rn=
Repeat the approximation using left
endpoints.
Ln=Ln=
Round answers to 4
places. Remember not to round too early in your
calculations.

30) Estimate the area under the graph of f(x)= 1/x+4 over the
interval [1,3] using five approximating rectangles and
right endpoints.
Rn=
Repeat the approximation using left endpoints.
Ln=

Estimate the area under the graph of f ( x ) = 1 x + 1 over the
interval [ 3 , 5 ] using two hundred approximating rectangles and
right endpoints
R n =
Repeat the approximation using left endpoints
L n =

Estimate the area under the graph of f(x) = 4
cos(x) from x = 0 to x = π/2
using four approximating rectangles and right endpoints. (Round
your answers to four decimal places.)
Repeat with left endpoints.

(a) Estimate the area under the graph of f(x) = 2/x from x = 1
to x = 2 using four approximating rectangles and right endpoints.
(Round your answer to four decimal places.)
(b) Repeat part (a) using left endpoints. (Round your answer to
four decimal places.)

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