Question

Use the midpoint rule with 4 rectangles to approximate the area of the region bounded above by y=sinx, below by the ?x-axis, on the left by x=0, and on the right by ?=?

Answer #1

Use the rectangles to approximate the area of the region. (Round
your answer to three decimal places.)
The x y-coordinate plane is given. There is 1
curve, a shaded region, and 4 rectangles on the graph.
The curve enters the window in the first quadrant, goes down
and right becoming less steep, passes through the point (1, 5),
passes through the point (5, 1), and exits the window almost
horizontally above the x-axis.
The region below the curve, above the...

Use the midpoint rule with 4 rectangles to approximate the area
under f(x)=x2 over [2,4]. Give your
answer as a fully simplified fraction.

1) Using the right endpoint with n = 4, approximate the area
of the region bounded by ? = 2?2 + 3, and x axis for x between 1
and 3.
2) Use Riemann sums and the limit to find the area of the
region bounded by ?(?) = 3? − 4 and x-axis between x = 0 and x =
1

Find the area of the region in the ?? x y -plane bounded above
by the graph of the function ?(?)=9 , below by the ? -axis, on the
left by the line ?=8 , and on the right by the line ?=19 . The area
is

1- Find the area enclosed by the given curves.
Find the area of the region in the first quadrant bounded on the
left by the y-axis, below by the line above left
by y = x + 4, and above right by y = - x 2 + 10.
2- Find the area enclosed by the given curves.
Find the area of the "triangular" region in the first quadrant that
is bounded above by the curve , below by the curve y...

Approximate the area under the graph of f(x) and above the
x-axis with rectangles, using the following methods with n=4.
f(x)=6x+4 from x=3 to x=5
a) use left endpoints
b)use right endpoints
c) average the answers in parts a and b
d) use midpoints

approximate the area under the graph of f(x) and above the
x-axis with rectangles, using the following methods with n=4.
f(x)=4x+5 from x=4 to x=6
A) use left endpoints
B) use right endpoints
C) average the answers in parts a and b
D) use midpoints

Approximate the area under the graph of f(x) and above the
x-axis with rectangles, using the following methods with n = 4.
f(x) = 4x + 3 from x = 4 to x = 6
a. Use left endpoints.
b. Use right endpoints.
c. Average the answers in parts a and b.
d. Use midpoints.

Approximate the area under the graph of f(x) and above the
x-axis with rectangles, using the following methods with n=4.
f(x)=e^x+1 fromx=-2 to x=2
(a) Use left endpoints.
(b) Use the right endpoints.
(c) Average the answers in parts (a) and (b)
(d) Use midpoints.
The area, approximated using the left endpoints, is
The area, approximated using the right endpoints, is
The average of the answers in parts (a) and (b) is
The area, approximated using the midpoints, is

Approximate the area under the graph of f(x) and above the
x-axis with rectangles, using the following methods with n=4
f(x)=e^x+5 from x=-2 to x=2
(a) Use left endpoints.
(b) Use right endpoints.
(c) Average the answers in parts (a) and (b)
(d) Use midpoints.

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