Recent content by CeceBear

Homework Statement ∫y=e^(-2x^2)dxHomework Equations The Attempt at a Solution I can't recall any method for this. I know that the integral of e^x is e^x, but I know that in this case the integral would not be the same as the original function because the derivative of -2x^2 would be -4x. Can...

Homework Statement y= e^xy y'= ? Homework Equations y' [a^x] = lna(a^x) y' [uv] = uv' + vu' The Attempt at a Solution y = e^xy lny = lne^xy lny = xy(lne) = xy (1/y)y' = (x)(y') + (y)(1) y' = xy(y') + y^2 From here I don't know how to isolate the derivative. (And I feel...

That wasn't just a guess. I'm trying to figure this out based on the notes and the process my teacher showed me. But obviously that's not working...

Would the equation be: ((x-1)^2 / 16) + ((y^2) / 7) = 1

Well, I figured out the center should be (1,0), right? I can't fully sketch the ellipse without knowing the equation. If the vertices are: (-a, 0) (a, 0) and the foci are: (-c,0) (c,0) where c^2 = a^2 + b^2 Then the equation would be: ((x-1)^2 / a^2) + (y^2 / b^2) Which vertice and...

Homework Statement Find the standard form of the equation of the ellipse with vertices (4,0) and (-2,0) and foci (3,0) and (-1,0). Homework Equations ((x-h)^2/a^2) + ((y-k)^2/b^2) = 1 c^2 = a^2 + b^2 The Attempt at a Solution I haven't got much of anything: (x)^2 / 8 I'm pretty...

Ok, I think I've got it now. Thank you very much!

But I only have distance. I don't have time, acceleration, or velocity for the kinematic equations. And according to the conservation of energy law, wouldn't KE just be -PE?

Homework Statement You throw a softball (of mass 400g) straight up into the air. It reaches a maximum altitude of 15.2m and then returns to you. What is the gravitational potential energy of the softball at its highest position? Assume the ball departed from and returned to ground level...

I only have the angle measure though. The problem doesn't give the value for Fg. And it doesn't tell me mass either so I can't even do Fg = mg.

Homework Statement A block accelerates at 3.7 m/s^2 down a plane at an angle of 26 degrees. Find the coefficient of kinetic friction between the block and the inclined plane. The acceleration of gravity is 9.81 m/s^2.* Homework Equations \SigmaF = ma F_{}k = \mu_{}k * F_{}n The...