Recent content by olivia333

Homework Statement I have the problem and answer, I'm just confused on the last step, but I'll put down everything anyways. Find the arclength of the curve r(t) = <5√(2)t, e5t, e-5t> 0≤t≤1 Homework Equations L = ∫|r'(t)| The Attempt at a Solution r'(t) = √((5√(2))2+(5e5t)2+(-5e-5t)2)...

Yes I did mean that, but I actually figured out what I did wrong. I subbed in a y as t and not t^2.

Homework Statement w = 2xy + 4yz + 5xz x = st y = 3^(st) z = t^2 s=5 t=1 Homework Equations Chain rule: xy = x*y' + y*x' The Attempt at a Solution w = 2stest + 4test + 5st3 (partial derivatives) dw/dt = 2s2test + 2sest + 4tsst + 4est + 15st2 (partial derivatives) dw/dt (5,1) = 2(5)2e5 +...

Ok, thanks so much! I got it now.

Homework Statement Given that the acceleration vector is a(t) = (-16cos(-4t))i + (-16sin(-4t))j + -2tk, the initial velocity is v(0) = i + k and the initial position vector is r(0) = i + j + k, compute: The velocity vector v(t) = ___i + ____j + ____k The position vector r(t) = ___i +...

Thank you so much for your help. I would simplify, but I can't go farther than this on tests because I don't have enough time (this long annoying answer counts as full credit) and I'd like to do it like I'll do it on the test.

Sorry, I didn't mean to put that there. I'm using a program online though and it's still wrong. Annoying thing I actually put in: 19e^(19*pi/2)(cos(pi/2)-sin(pi/2))/((19e^(19*pi/2)sin(pi/2))^2+(19e^(19*pi/2)cos(pi/2))^2+(19e^(19*pi/2))^2)^.5 The parenthesis are correct because it shows us a...

Homework Statement Find the unit tangent vector at the indicated point of the vector function r(t) = e(19t)costi + e(19t)sintj + e(19t) kT(pi/2) = <___i+___j+___k>Homework Equations r'(t) / |r'(t)| The Attempt at a SolutionAnswers: 19e(19*∏/2)(cos(∏/2)-sin(∏/2)) /...

NEVER MINE I figured it out... basic algebra problem it works now!

Homework Statement Consider the line L(t)=<1+5t, 3+t>. Then L intersects: 1. The x-axis at the point (-14,0) when t= -3 2. the y-axis at the point (0, 14/5) when t=(-1/5) 3. the parabola y=x^2 at the points ____ and ____ when t=____ and ____. Homework Equations y=x^2...

ohhhh haha thank you so much!

Homework Statement Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (-4, 5, 4), Q = (-1, 8, 7), and R = (-1, 8, 8). Homework Equations u = PQ = Q - P v = PR = R - P ans = uXv = PQ X PR The Attempt at a Solution so I did...