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Please do all parts and write your answer clearly. thanks! 6. a. Prove that there is a finite field E with 729 elements and provide the quotient ring that is isomorphic to E. b. Draw the lattice of subfields for E.
Solve for a, b and c. Please write clearly. Thanks 9. (20%) System Differential Equations X = [X1 ; X2] Initial condition X1(0)=1, X2(0) = 1 find the solutions X by (a) Laplace transform method (6%) (b) Diagonalization transform method (7%) (c) Elimination method (7%)
Please write clearly, thanks! [5] Given x(t) ? Low pass ter
please proof this equation and write clearly! Thanks 2as vf :2 VI
I'm lost on part b, please show all work/steps & write clearly please thanks!
Please draw a picture and write out all vectors clearly. Thanks! Vectors A and B lie in an xy plane. A has magnitude 3.2 and angle 139 relative to +x direction; B has components B--6.48 and By -6.50. What are the angles between the negative direction of the y axis and (a) the direction of A (b) the direction of the product A x B,and (c) the direction of A x B 3.00k?
Let (X, d) be a metric space, and let ACX be a subset (a) (3 pts) Let x E X. Write the definition of d(x, A) (b) (7 pts) Assume A is closed. Prove that d(x,A-0 if and only if x E A. Let (X, d) be a metric space, and let ACX be a subset (a) (3 pts) Let x E X. Write the definition of d(x, A) (b) (7 pts) Assume A is closed. Prove that d(x,A-0 if...
need help with proving discrete math HW, please try write clearly and i will give a thumb up thanks!! Let A and be B be sets and let f:A B be a function. Define C Ax A by r~y if and only if f(x)f(y). Prove thatis an equivalence relation on A. Let X be the set of~-equivalence classes of A. L.e. Define g : X->B by g(x) Prove that g is a function. Prove that g is injective. Since g...
this is differential equations ch 8 section 2, please write clearly. thanks! Use the methods of section 8.2 to find the general solutions of the given systems of differential equations in the following three problems. 3. = - X - 4y dx dt dy dt = 2x + 3y
this is from differential equations ch8 section 2 please write clearly and show all steps. thanks! Use the methods of section 8.3 to find the general solutions of the given systems of differential equations in the following two problems. 4. = X-1 dx dt dy dt = -x + 2y