4 Midterm Review by https://padlet.com/zjeffrey/yddd43e1wjgche8w en-us 2022-02-26 22:08:39 UTC 2022-04-16 03:58:43 UTC hello@padlet.com f = kx zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772656 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772656 V = 2pi (integral) radius x height zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772657 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772657 V = 2pi (integral) r(x)*h(x)dx zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772658 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772658 Good to look to use when there is a washer problem in respect to y zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772659 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772659 radius = rotated axis - x zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772660 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772660 height = top - bottom zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772661 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772661 1/b-a zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772662 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772662 1/(b-a) (integral a to b) f(x) dx zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772663 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772663 V = pi (integral) (top - bottom)^2dx zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772664 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772664 disk: pi( integral) radius^2 zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772665 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772665 V = pi (integral) (right - left)^2dy zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772666 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772666 dy = right - left, dx = top - bottom zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772667 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772667 Cross-sections zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772668 Square: A(x) = (top - bottom)^2
Equilateral Triangle: A(x) = sqroot(3)/4(top - bottom)^2
Semi-Circle: A(x) = 1/2pi ((top - bottom)/2)^2]]> 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772668 (cosh)' = (sinh) zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772669 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772669 sinhx = (e^x - e^-x)/2 zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772670 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772670 coshx = (e^x + e^-x)/2 zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772671 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772671 ((sech(x))' = -sech(x)tanh(x) zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772672 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772672 Trig identities cosh^2(x)-sinh^2(x)=1, sech^2(x)+tanh^2(x) = 1 zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772673 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772673 udv = uv - (integral)vdu zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772674 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772674 Log -> Inv Trig -> Algebraic -> Trig -> Expontential zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772675 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772675 LIATE^ zjeffrey https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772676 2022-02-26 22:08:39 UTC https://padlet.com/zjeffrey/yddd43e1wjgche8w/wish/2067772676