Question

Find the area bounded between the graphs of f(x) = x3 + 11x2 − 11 and g(x) = 4x2 − 8x + 5. (A) 625/12 (B) 104/5 (C) 233/4 (D) 113/6 (E) 82/3

Answer #1

1-Find the area of the region between the graphs of f and g,
where f(x) = x^2-x-1 and g(x) = 5-X^2.
2-Arc Length. Find the length of the graph of f(x) = x^4 +
1/(32x^2) over the interval [1,2].

Find the area of the region bounded between the functions f(x)=
x2 – 2x + 2 and g(x) = -x2 + 6.

1. Find the area bounded by f(x)=3x^2-4 and y=0 for 0 < X
< 1.
A. 1 B. 2 C. 6 D. 3
2. The revenue (thousands of dollars) from producing x units of
an item is modeled by R(x)= 5x-0.0005x^2. Find the marginal revenue
at x=1000.
A. $104 B. $4 C. $4.50 D. $10,300
3. Find y' for y=y(x) defined implicitly by 3xy-x^2-4=0
4. Find: lim x->-1 6x+5/5x-6
A. -11 B. 1/11 C. -1/11
D....

1.Find the area of the region between the curves y= x(1-x) and y
=2 from x=0 and x=1.
2.Find the area of the region enclosed by the curves
y=x2 - 6 and y=3 between their
interaction.
3.Find the area of the region bounded by the curves
y=x3 and y=x2 between their interaction.
4. Find the area of the region bounded by y= 3/x2 ,
y= 3/8x, and y=3x, for x greater than or equals≥0.

Find the area of the region between the graphs of f(x) = 3x3 −
x2 − 10x and g(x) = −x2 + 2x.

f (x) = x3 - x2 + x Finding the area of
the region bounded by inverse function with the help of
integral

total area bounded by the graphs of y= x^3 -2x & y=x^2 are
equal to a. none b. 27/12 c. 37/12 d. 3 e.

Consider the function f(x)=4x2-x3 provide
the graph the region bounded by f(x) and the x-axis over the
interval [0,4], then estimate the area of this region using left
reman sum with n=4, 10 and 20 subintervals. you may use the
graphing calculator to facilitate the calculation of the Riemann
sum. use four decimal places in all your calculations and
answers.

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 of the region bounded by the graphs of
y=2x and y=x2-4x
a) Sketch the graphs, b) Identify the region, c) Find where the
curves intersect, d) Draw a representative rectangle, e) Set up the
integral, and f) Find the value of the integral.

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