Mathematics OpenStudy (anonymous):

find the coordinates of the point of integration of the curves y=x^2 and y^2=8x.sketch the two curves and find the area enclosed by the two. OpenStudy (anonymous):

http://www.wolframalpha.com/input/?i=plot+x^2,sqrt(8x) That's the plot of both equations. Notice that y^2=8x is greater than y=x^2 between the two intersection points. To find the intersection points substitute the y=x^2 into the other equation. You should get x(x^3-8)=0 Finally the integral would be $\int\limits_{a}^{b} \sqrt(8x) - x^2 dx$

Latest Questions AntonyTheGreatest: What is the y-intercept of the quadratic function f(x) = (x u2013 6)(x u2013 2)?
7 hours ago 6 Replies 1 Medal AntonyTheGreatest: What is the midpoint of the x-intercepts of f(x) = (x u2013 2)(x u2013 4)? (u2013
8 hours ago 3 Replies 0 Medals AntonyTheGreatest: The function f(x) = (x u2212 4)(x u2212 2) is shown. On a coordinate plane, a parabola opens up.
8 hours ago 7 Replies 0 Medals AntonyTheGreatest: For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0? The graph will always have zero x-intercepts.
8 hours ago 4 Replies 0 Medals AntonyTheGreatest: The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is x equals three-halves.
8 hours ago 21 Replies 0 Medals AntonyTheGreatest: The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true? The vertex is a maximum.
9 hours ago 0 Replies 0 Medals AntonyTheGreatest: The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true? The vertex is a maximum.
9 hours ago 0 Replies 0 Medals AntonyTheGreatest: On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12
9 hours ago 1 Reply 0 Medals AntonyTheGreatest: What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5? (0, u201
9 hours ago 2 Replies 0 Medals AntonyTheGreatest: The axis of symmetry for the graph of the function f start bracket x end bracket equals one-quarter x square plus b x plus 10 is x=6.
9 hours ago 6 Replies 1 Medal