19. If the cos u= -5/13 where it <u<37 12 and sin v= 8/15 where tan v<0, find sin (u+v)
2. Provide an example of a formula A such that U ⊨ A, where U is the set of formulas given: U = {¬p ∧ ¬ q, (p ∨ ¬q) ∧ ¬r, p → r}
4. Consider the surface of revolution o(u, v) (f(u)cosv, f(u) sin v, g(u)) where uf(u), 0, g(u)) is the unit-speed regular curve in R3, Find the normal curvature of meridian v constant and geodesic curvatures of a parallel u=constant. 4. Consider the surface of revolution o(u, v) (f(u)cosv, f(u) sin v, g(u)) where uf(u), 0, g(u)) is the unit-speed regular curve in R3, Find the normal curvature of meridian v constant and geodesic curvatures of a parallel u=constant.
Suppose V=U OU', where V is some vector space and U, U' CV are subspaces. Let W CV be another subspace. Show that W = (UNW) e (U' NW)
1.6 Derive the formulas Ug = u-1 and 1_1_do dn ug u o dio where u, is the group velocity, u is the phase velocity, 1 is the wavelength, do is the vacuum wavelength, and n is the index of refraction.
Consider testing Ho: u = 20 against Ha: u< 20 where u is the mean number of latex gloves used per week by all hospital employees, based on the summary statistics n = 47, X = 19.2, and s = 11.5. Complete parts a and b. a. Compute the p-value of the test. The p-value of the test is . (Round to four decimal places as needed.) b. Compare the p-value with a = 0.05 and make the appropriate conclusion....
4. Let T be the time reversal operator. Show that T=U*K where U is the unitary operator and K is the Operator of conjugation . Use the relation TST --S describing time reversed spin operator S to show that T-UK where U = 1 sigmay
suppose we have a) find a factorization of A into the product MU where U is upper triangular (that is, find M and U such that A = MU where U is upper triangular). b) find a permutation matrix P such that PA = LU where L is a lower triangular matrix and U is the same upper triangular matrix found in part a). 0301 3-14 1124 0012
Find the first quadratic form of a surface called helicoid, r(u, v)-(u cos v, u sin v, av), where a is a constant parameter. Then find the angle of intersection of lines on the surface of helicoid given by equations u v0, u0. Find the first quadratic form of a surface called helicoid, r(u, v)-(u cos v, u sin v, av), where a is a constant parameter. Then find the angle of intersection of lines on the surface of helicoid...
the nucleus of a beryllium atom has a mass of 8.003111 u, where u is 1.66 x 10^-27 kg. This nucleus is known to spontaneously fission into two identical pieces, each of mass 4.001506 u. Assuming the nucleus to be initially at rest, a) at what speed will its fission fragment move, and b) how much KE is released?