Question

(1 point) Find the area of the region in the ??-plane bounded above by the graph of the function f(x)=9, below by the ?x-axis, on the left by the line ?=2, and on the right by the line ?=15.

Answer #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 of the region bounded by the graph of the
function f(x) = x4 − 2x2 + 8, the
x-axis, and the lines x = a and
x = b, where a < b and
a and b are the x-coordinates of the
relative maximum point and a relative minimum point of f,
respectively.
2.Evaluate the definite integral.
26
2
2x + 1
dx
0
3. Find the area of the region under the graph of f...

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...

Calculate the area, in square units, of the region bounded by
the line x=2 on the left, the curve f(x)=ln(x-6)+1 on the right,
the line y=3 above, and the x-axis below. Give an exact answer, in
terms of e.

Find the area of the region bounded by the graph of f(x) = 4x^3 +
4x + 9 and the x axis between x=0 and x=2 using Riemann sums.

Find the area of the "triangular" region in the first quadrant that
is bounded above by the curve y=e^3x, below by the curve y=e^2x,
and on the right by the line x=ln2

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 ?=?

Write and evaluate the definite integral that represents the
area of the region bounded by the graph of the function and the
tangent line to the graph at the given point. f(x) = 5x^3 − 3, (1,
2)

Find the upper and lower sums for the region bounded by the
graph of the function and the x-axis on the given
interval. Leave your answer in terms of n, the number of
subintervals.
Function
Interval
f(x) = 9 − 2x
[1, 2]
lower sums(n)=
upper sumS(n)=

A) Find an approximation of the area of the region R
under the graph of the function f on the interval [0, 2].
Use n = 5 subintervals. Choose the representative points
to be the midpoints of the subintervals.
f(x)=x^2+5
=_____ square units
B) Find an approximation of the area of the region R
under the graph of the function f on the interval [-1, 2].
Use n = 6 subintervals. Choose the representative points
to be the left endpoints...

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