
Exponentials: 1. Simplify (determining the numerical value where possible) the following expressia B. 15QQ3.5p (3L0. 53...
(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)
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
Simplify the following expressions as much as possible a) Ommenn b) xidikdjk c) (AijBjk - 2AimBmk)dik d) Express o = AmkCmk where Aij = BikCkj
Find y' if x V = y*. Simplify where possible.
In each case, multiply out to obtain a sum of products: (Simplify where possible) (a) (A’+B’+C +D’)(E+C+D+A+B)(D+B+C)(C+A’)(A+D) (b) (X+Y+Z)(Y+X+W’+Z’)(Z’+X’+W)(Y’+X’)(W’+X)
Find the exact value of each of the following under the given conditions. 2/53 53 4 sin a cos B (a) sin (a B) (b) cos (B) (c) sin (a B) (d) tan (B) (a) sin (+ B) (Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression. Simplify your answer.)
Simplify the following indicial expressions as much as possible. ΣΣ1C,B (a) Substitute Cii = -1 AipBpj into a = k 1 Hint: Consider changing the index j to index k in the expression for C;i 3 ( b) Σ-Σ_ Σ1 Α, Βιδικ - Σ Σ Σ-12AB , im rį=1 i=1 m=1 Hint: Use the index substitution property of Kronecker delta first to simplify the expression. When you do that, the triple summation will reduce to double summation in each symbol...
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]
Problem 1: Use complex exponentials to show the following trigonometric identities: a) b) cos(4 + θ) = cos(A)cos(%)-sin(θ)sin(4) cos(0,-&J=cos(θ) cos(9a) + sin(81)sin(82).
13. Simplify as much as possible. (b) InI1)- ) in h) In IL-1 σνοπ