Recent content by brizer

I understand, there must be a maximum and minimum on a closed interval, so there must be some c that makes f(c) greater than all f(x) for real numbers. (a), then, must also be true. Thank you!

1. The problem: The function f is continuous for -3\leqc\leq5 and differentiable for -3<x<5. If f(-3)=6 and f(5)=-2, which of the following could be false? (a) there exists c, where -3\leqc\leq5, such that f(c)\geqf(x) for all on the closed interval -3\leqx\leq5. (b) There exists c, where...

you're my hero. I made a silly mistake. Thanks so much for catching it!

Sorry, it's been two years since geometry so I was glad I could even remember the formula for an ellipse. My work was pretty much an ellipse with a triangle in it and my book is no help since my math teacher made up this summer homework on a whim. At any rate, I'm not familiar with the Lagrange...

Problem: What is the area of the largest rectangle that can be inscribed in the ellipse 9x2+4y2=36 Relevant Equations: equation of an ellipse: (x - h)2/a2 + (y - k)2/b2 = 1 I only got as far as x2/4 + y2/9 = 1 (x - 0)2/22 + (y - 0)2/32 = 1 I have no idea where to go from here

The problem: The y-intercept of the line tangent to y=(x4-2x2-8)ecosx2 at x=1 is (a) -15.499 (b) -25.999 (c) -41.448 (d) 15.449 (e) 25.99 To find the y-intercept I have to find the whole equation of the line y=f(1) m=f'(1) x=1 b=?? My problem is that I don't think I got the the...

Thanks! That makes sense, but I have one last question on part d. If the particle speeds up when a(t) is positive and slows when a(t) is negative, what is it doing when a(t)=0? I know that a(4)=0, so should I take the third derivative to find out if it's increasing or decreasing?

Hi! This is a Calculus I problem following the movement of a particle. I got stuck at part c, but I included the other parts in case I messed up somewhere along the way. The problem: An object is moving on the x-axis with displacement given by x(t)=-t3 +12t2 -27t +34 a) Find the equations...