Calculus Answers

Trace the curve y²=(x+1)(x-1)² by showing all the properties you use to trace it.

Let f
f
be the function given by f(x)=∣∣x2−3∣∣⋅(x+0.5)(x2−3)(x+0.5)
f
(
x
)
=
|
x
2
−
3
|
⋅
(
x
+
0.5
)
(
x
2
−
3
)
(
x
+
0.5
)
. On which of the following open intervals is f
f
continuous?

Find Y' given x + xy + y = 2

If x,y,z are length of the perpandicular dropped from a point inside the triangle of given area A,on the three sides of the triangle then the minimum value of x^2+y^2+z^2 is 4A^2/a^2+b^2+c^2

Find the maximum value of the function f(x) = x + x2

Determine the end (long run) behavior for the function below:

f(x)=x4−3x3+x−1

Find the maximun value of the function f(x)=x+x^2-x^3 for x>=0

Compute the first thrre derivatives of \\(f(x)=2x^{5}+x^{\\frac{3}{2}}-\\frac{1}{2x}\\)

The area between the curve Y^2= 2x+5, the X -axis and the ordinates at X=1 and. X=3 is rotated about the X-axis. Calculate the volume of the solid generated.

The curve y=X^2+A÷X has the gradient of 7 when X=4.calculate the value of A