Recent content by PsychStudent

Ahh I get it now, thank you.

Homework Statement Evaluate the integral by interpreting it in terms of areas. \int(1+\sqrt{9-x^{2}})dx} The integral is from -3 to 0. I should be able to evaluate it as a limit of sums, since I've not been taught the fundamental theorem of calculus yet. Homework Equations...

Homework Statement The upper right-hand corner of a piece of paper, 12 in by 8 in is folded over to the bottom edge. How would you fold it to minimize the length of the fold? In other words, how would you choose x to minimize y? Homework Equations None so far. The Attempt at a...

Of course! Thanks for your help

Homework Statement f(x) = x^{4} - 2x^{2} + 3 Find the intervals of concavity and the inflection points. Homework Equations f''(x) = 4(3x^{2}-1) The Attempt at a Solution f''(x) is zero at \pm\frac{1}{\sqrt{3}} I've found the correct intervals of concavity, which are (-\infty...

Well, that'll teach me never to use degrees again. It worked! Thanks!

Homework Statement Find the linear approximation of tan(44) Homework Equations f(x) = tan(44 + x), let x = a = 1 f`(x) = sec2(44+x) The Attempt at a Solution L(x) = f(a) + f`(a)(x-a) L(x) = 1 + 2(x-1) L(0) = 1 + 2(0-1) = -1 (Answer should be approx. 0.965) Where am I going wrong? X should...

I can't believe I didn't figure that out. Thank you!

Is 22x+y = 4x2y? If I substitute various digits into the x and y variables, it works, but I can't understand why. Can anyone please explain this to me? For example, if we choose x=3 and y=1, 2(2)(3)+1 = 27 = 128 2(2)(3)+1 = 4321 = 64(2) = 128 Thanks