Answers created by Ken Rubenstein
 Back to user's profile

What is the volume of the solid generated by revolving the region bounded by #y=sqrt(sin6x), y=0#, and the #x#axis, if #0<=x<=pi/6#?

What is the limit of #(1 + 2/x)^x# as x approaches infinity?

How do you determine if the improper integral converges or diverges #int (x^3 + x)/((x^4 + 2x^2 + 2)^(1/2))dx# from 1 to infinity?

How do I rotate the axes of and then graph #7x^2  6sqrt3xy + 13y^2  16 = 0#?>

How do you solve #x+yz=2#, #2xy+z=5#, and #x+2y+2z=1# using matrices?

What is the equation of the line that is normal to #f(x)=(x+4)^2/e^x# at # x=1 #?

How do you find the volume of the solid formed by rotating the region enclosed by ?

What is the volume of the solid produced by revolving #f(x)=e^xsinpix, x in [0,2] #around the xaxis?

How do you integrate #int 1/sqrt(e^(2x) +9)dx# using trigonometric substitution?

What is the equation of the line that is normal to #f(x)=e^xcos^2x xsinx # at # x=pi/3#?

What is the surface area of the solid created by revolving #f(x) =e^(4x)e^(2x) , x in [1,2]# around the x axis?

What is the volume of the solid produced by revolving #f(x)=x^32x+3, x in [0,1] #around the xaxis?

How do you integrate #int (3x)/sqrt((1x^2))dx# using trigonometric substitution?

What is the period of #f(t)=sin( t / 7 )+ cos( (t)/21 ) #?

How do you use the ratio test to test the convergence of the series #∑ 11^n/((n+1)(7^(2n+1)))# from n=1 to infinity?

How do you integrate #int x^3/sqrt(x^2+25) dx# using trigonometric substitution?

What are the points of inflection of #f(x)= x/e^(x^2)  x^2e^x #?

What is the equation of the line that is normal to #f(x)= x/sqrt( 3x+2) # at # x=4 #?

How do you integrate #int (4^(7x)) / (5^(2x)) # using integration by parts?