Calculus Answers

integrate 1/sqrt(sin^4(x) +1) dx

Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18
Please show steps

Graph the ellipse with equation x squared divided by forty nine plus y squared divided by thirty six = 1

a resort is roping off a children’s swimming area in the lake at the resort. they have 150 m of rope to use. what is the maximum area they can rope off for the children’s swimming section,

If you travel 100 miles in four hours, then your average speed for the trip is

average speed = 100/? =? mi/h

Problem: f(x)= (x^2-5)/(x+3)


Solution:
f(x)= (x^2-5)/(x+3)=x-3=4/(x+3) so, there is oblique asymptote y=x-3.

Lack of the horizontal asymptote means that the concentration increases indefinitely.
The vertical asymptote x=-3 means that to obtain concentration of drug equals f(0)=-5/3 at the start time x=0, we should
apply an undefined concentration at time x=-3 (3 time units before start time).

****If the numerator and denominator were switched, would there be a horizontal asymptote? Why or why not?

integration of
[1+sin(x/2)]^(1/2)

Find the domain of function f and evaluate f(3,2) .
f(x,y)= {(x+y+1).5}/(x-1) .

Find the work done by the force F=(x2,-xy) in moving a particle from (0,0) to (1,2) along the parabola y=2 x2 from (0,0) to (1,2) .