Answers edited by Ken Rubenstein

Back to user's profile
What is the volume of the solid produced by revolving $f (x) = x^{3} - 2 x + 3, x \in [0, 1]$ $f(x)=x^3-2x+3, x in [0,1]$ around the x-axis?
What is the surface area of the solid created by revolving $f (x) = e^{4 x} - e^{2 x}, x \in [1, 2]$ $f(x) =e^(4x)-e^(2x) , x in [1,2]$ around the x axis?
What is the volume of the solid produced by revolving $f (x) = e^{x} sin π x, x \in [0, 2]$ $f(x)=e^xsinpix, x in [0,2]$ around the x-axis?
How do you integrate $\int \frac{4^{7 x}}{5^{2 x}}$ $int (4^(7x)) / (5^(2x))$ using integration by parts?
How do you use the ratio test to test the convergence of the series $\sum \frac{11^{n}}{(n + 1) (7^{2 n + 1})}$ $∑ 11^n/((n+1)(7^(2n+1)))$ from n=1 to infinity?
How do I rotate the axes of and then graph $7 x^{2} - 6 \sqrt{3} x y + 13 y^{2} - 16 = 0$ $7x^2 - 6sqrt3xy + 13y^2 - 16 = 0$ ?>
How do you find the volume of the solid formed by rotating the region enclosed by ?
How do you solve $x + y - z = - 2$ $x+y-z=-2$ , $2 x - y + z = 5$ $2x-y+z=5$ , and $- x + 2 y + 2 z = 1$ $-x+2y+2z=1$ using matrices?
How do you integrate $\int \frac{1}{\sqrt{e^{2 x} + 12 e^{x} - 45}} d x$ $int 1/sqrt(e^(2x)+12e^x-45)dx$ using trigonometric substitution?
What is the equation of the line that is normal to $f (x) = \frac{x}{\sqrt{3 x + 2}}$ $f(x)= x/sqrt( 3x+2)$ at $x = 4$ $x=4$ ?
How do you integrate $\int \frac{1}{\sqrt{- e^{2 x} + 9}} d x$ $int 1/sqrt(-e^(2x) +9)dx$ using trigonometric substitution?
How do you determine if the improper integral converges or diverges $\int \frac{x^{3} + x}{{(x^{4} + 2 x^{2} + 2)}^{\frac{1}{2}}} d x$ $int (x^3 + x)/((x^4 + 2x^2 + 2)^(1/2))dx$ from 1 to infinity?
What are the points of inflection of $f (x) = \frac{x}{e^{x^{2}}} - x^{2} e^{x}$ $f(x)= x/e^(x^2) - x^2e^x$ ?
What is the equation of the line that is normal to $f (x) = e^{x} {cos}^{2} x - x sin x$ $f(x)=e^xcos^2x -xsinx$ at $x = - \frac{π}{3}$ $x=-pi/3$ ?
What is the equation of the line that is normal to $f (x) = \frac{{(x + 4)}^{2}}{e^{x}}$ $f(x)=(x+4)^2/e^x$ at $x = - 1$ $x=-1$ ?