just simplyfy n expand 1.(20 Pts) Factor to obtain a product of sums. Simplify where possible....
1.(20 Pts) Factor to obtain a product of sums. Simplify where possible. F(WXYZ) W'Y'Z' + WXZ' + W'YZ+XZ 1.(20 Pts) Factor to obtain a product of sums. Simplify where possible. F(WXYZ) W'Y'Z' + WXZ' + W'YZ+XZ
(1) [POS] Factor to obtain a product of sums. (Simplify where possible) A'C'D' + ABD' + A'CD+B'D [SOP] Factor to obtain a sum of product. (Simplify where possible) (K'+M'+N)(K'+M)(L+M+N')(K'+L+M)(M+N)
Factor the expression A’B’ + (CD’ + E) to obtain a product of sums Given: F(a, b, c, d) = (a + b + d)(a’ + c)(a’ + b’ + c’)(a + b + c’ + d’) Express F as a minterm expansion (Use m-notation): F = ∑ Express F as a maxterm expansion (Use M-notation): F = ∏ Express F’ as a minterm expansion (Use m-notation): F’ = ∑ Express F’ as a maxterm expansion (Use M-notation): F’ =...
Expand the below function in terms of (1. cos i), where N is positive integer and 0 s x s L 2 2 f(x) = Determine what function this expansion of f(x) converges to on 0 x s L. Graph the function itself, as well as the two partial sums of the expansion, proving the accuracy of the expansion improves as n increases.
5. (20 pts) Evaluate the following sums. The delta below is a Kronecker delta. n=-oo n2sin noo (e) Σ (n2 + 1)011-n]
13. Rewrite the following expression as a single logarithm and simplify where possible: [5 Points) 4. log6x + log6(x - 1) -10964 14. Use the Remainder Theorem to determine if (x - 4) is a factor of f(x) = x3 – 3x2 - 10x + 25. If it is a factor, use polynomial or synthetic division to help you rewrite f(x) in fully factored form. [5 Points]
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find f(x) (b) Simplify and factor completely. ( 1.F Intevas are 242-30 (c) Find the intervals where the function is increasing and where it is decreasing. Use interval notation. : 24y-30 O 12 -30x-18O ,3 (-0,). 3). 39 -15 12 3 C 3, 00) 24 -) f is INC on: f is DEC on: Chrek Find the relative extrema of this function if they exist....
Question 3(6 pts): Obtain the Fourier Series representation for the signal when n-Ak when n=4k + 2 f for some integer k x[n]=-1 or some int eger k 0 else Thus x[n] = 0 for odd n and alternated between-1 and 1 for even values of n. (You are asked to obtain an expression for x[n] ..., where the right hand side is a Fourier Series and contains no "unknown".)
s. (15 pts)Consider all possible funtions B be a function where |4 - m and lB-n (a) How many such functions are possible? (b) If men, how many different bijections (1-1 and onto functions) are possible? If men, how many 1-1 functions are possible? m: [0,1,小 (c) η= [0, 1, 2, 3 J 6. (5 pts) Does |(0, 1)-(1,00)| ? If yes, give an explicit bijection. If no, demonstrate why not N because the y
math232 Question 2. (20 pts.) a) Simplify 2 < (56/))(2 < (-1/3) 2 < (-/ b) Solve z' + 2 + 1 - 0