3. Let T = {< M > | m accepts w" when it accepts w. }. Show T is undecidable.
10 Ich *74) . CONSIDER THE FOLLOWING SYSTEM: 100 W/m 500 N/m. t>XH) mom 89 кл Н į X16)= om} 20 kg Is the 2* (o)= omiss (a) if f1t): = : 25 sin (2017) + 0.1 sin (20015+) N, . FIND THE STEADY STATE PART OF THE RESPONSE. (b) IF FCt) = 110N, FIND THE TRANSIENT PART OF THE RESPONSE. IF F(H) = 25 sin (w+), FIND THE VALUE OF W THAT RESULTS IN THE MAXIMUM STEADY STATE AMPLITUDE...
8.2. Let W()-X(at)la for a >0. Verify that W(t is also Brownian motion
Consider that V = R3 and W = {(a,b,c): a > 0} List 5 elements of W Is W a vector subspace? Justify
Consider the language LOOPS = {<M,w> | M is a Turing machine and M loops forever on input w} Is LOOPS Turing decidable? Explain why or why not. Is LOOPS Turing recognizable? Explain why or why not.
5. [10 points] With a simplified classical model (electron-ion connected with a spring --> forced damping oscillator) for the behavior of electrons one can describe the frequency dependence of the permittivity (€.(w) = {(W)/€) in dielectrics. Show the full derivation procedure of (w) starting from the classical model.
Given the following vectors: ū= 3 ū= W = > (a) Find the projection of ū onto ū. BOX YOUR ANSWER. (b) Find the projection matrix of the projection in part (a). BOX YOUR ANSWER. (c) Find the projection of ū onto the subspace V of R3 spanned by ✓ and W. (You may use MATLAB for matrix multiplication in this part, but you must provide the expressions in terms of matrices.) BOX YOUR ANSWER. (d) Find the distance from...
3-) Let ocr<1 o w UUUUU is probability destiny function of X random variable. a- ) Find PlOCXCI) b.) Find Pix > 15) UUUUUU ca) Find € (x) and Var(x) d-) Find the distribution function
3. Use the mean value theorem to prove the following inequality. (1 +x)" >1 for z >0 andnEN
Solve this problem using the two-phase method. What special case do you observe? Max Zz4X1-2X2+X3 X1+2X2+X3 3 2X1-3X2+6X3 100 X1,X2,X3>0