Artificial intelligence Training set: D {(x),y())}; ;1, w E R10,xe R10,y()e {-1,+1}. 1 G(w, D) (w...
Use your I n y o u r own w o r d s, e x p l a i n p er i o d i c m o t i o n, a n d g i v e e x a m p l e s. In your own words, explain energy in simple harmonic motion. Describe stress, strain, and elastic deformation, and give examples.
Implicit Function Theorem in Two Variables: Let g: R2 → R be a smooth function. Set {(z, y) E R2 | g(z, y) = 0} S Suppose g(a, b)-0 so that (a, b) E S and dg(a, b)メO. Then there exists an open neighborhood of (a, b) say V such that SnV is the image of a smooth parameterized curve. (1) Verify the implicit function theorem using the two examples above. 2) Since dg(a,b) 0, argue that it suffices to...
() At)x()B(f)u() Consider the following time-varying system y(t) C(f)x(t) where x) R", u(t)E R R 1 1) Derive the state transition matrix D(t,r) when A(f) = 0 0 sint 2) Assume that x(to) = x0 is given and u(f) is known in the interval [to, 4] Based on these assumptions, derive the complete solution by using the state transition matrix D(f, r). Also show that the solution is unique in the interval [to, 4]. 3) Let x(1) 0 and u(f)...
1) Suppose U, V, W U(0, 5), Determine P[ min(U, V, W) 1 a).578 b) .488 c).384 d) .462 e) .340 2) Suppose W has pdf f(x) P(W <.70 I W>.50) 2x, 0 < x <1. Determine a) .425 b).372 ).393 d).320 e) 456 3) 20% of employees at Acme Piston & Valve have college degrees. f those with a college degree, 56% are in the valve-worker's union. Of those without a college degree, 90% are in the valve- worker's...
Y(z) c(t), C(s) r(t), R(S) + - et), E(S) E*(s), Ez To- D(z) G (s) = (1-e-STºys H(s) 32. If the system above has Y(z)R(z)= 1+z), and if the input is the unit step r(t)=u(t), then the signal y[n]= u[n]-e-Tou[n-1) | u[n]+u[n-1] a) c) u[n] + u[n-1) d) none above 33. If the system above has Y(z)/R(z)= 1+z), the dc gain of the system is C(z)/R(z)= b) 1/2 c)2 d) none above a) o 34. If the system above has...
Problem 25 please -Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
why is this wrong for vectors vector<char> decrypt{ {'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A'}, {'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B'}, }; for(int...
Can u please answer the question (G) 1. (15 marks total) Consider the real vector space (IR3, +,-) and let W be the subset of R3 consisting of all elements (z, y, z) of R3 for which z t y-z = 0. (Although you do not need to show this, W is a vector subspace of R3, and therefore is itsclf a rcal vector space.) Consider the following vectors in W V2 (0,2,2) V (0,0,0) (a) (2 marks) Determine whether...
8. (tan (u-1-e", r-6v2) and g(x, y) (eno-n), 8(x-y)). Letf (u, v)s - (Use symbolic notation and fractions where needed.) (Give your answer as comma separated list of a, h, c, d from Do g)(, I) - 8. (tan (u-1-e", r-6v2) and g(x, y) (eno-n), 8(x-y)). Letf (u, v)s - (Use symbolic notation and fractions where needed.) (Give your answer as comma separated list of a, h, c, d from Do g)(, I) -