Question

Find the Arc Length

f(x)= 3y^3 Intervals [1,2]

please show steps

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].

1.) Let f(x,y) =x^2+y^3+sin(x^2+y^3). Determine the line
integral of f(x,y) with respect to arc length over the unit circle
centered at the origin (0, 0).
2.)
Let f ( x,y)=x^3+y+cos( x )+e^(x − y). Determine the line
integral of f(x,y) with respect to arc length over the line segment
from (-1, 0) to (1, -2)

z= f(x,y) = xy-2x-3y+6 has one critical point (x,y,z). Please
find it
2) f(xx)=
3) f(xy)=

Find the absolute and local extrema for f(x) = (x^2 - 1)^3 on
[-1,2].

for a and b use x= Square root x
and g(x)=x/2
a) Find the arc length of the
curve of f(x) for
0≤x≤4.
b) Find the surface area of the
solid of revolution revolved about the x-axis of
f(x) for 0≤x≤4.

If f(x)-x^3-3x;
a) find the intervals on which f is increasing or
decreasing.
b)find the local maximum and minimum values
c)find the intervals of concavity and inflection points
d)use the information above to sketch and graph of f

Find the intervals on which f(x) is increasing, the intervals on
which f(x) is decreasing and the local extrema. Circle each of your
answers.
4). f(x) = 5x2 – 10x - 3
5). f(x) = x4 - 8x3 + 32

Question:
Find the arc length of y= ( x^2 / 2) cut by circle x^2 + y^2
=3

Let f (x) = −x^4− 4x^3. (i) Find the intervals of
increase/decrease of f . (ii) Find the local extrema of f (values
and locations). (iii) Determine the intervals of concavity. (iv)
Find the location of the inflection points of f. (v) Sketch the
graph of f

Find the intervals on which f(x) is increasing, the intervals
on which f(x) is decreasing, and the local extrema. f(x)=
-2x^2-20x-21

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