If A-(rsinOcos -cos2Osin

Q: 9. Show that exp(iz) = exp(iz) if and only if z = nл (n = 0, ±1, 2, ...). (Compare

A: To prove that exp(iz)¯=exp(iz¯) if and only if z=nπn=0, ±1, ±2, . . ..

Q: In S_3 find all elements a such that a^2 = p_0 = identity, and all elements b such that b^3 = p_0 .

A:

Q: Illustrate the following (A ∩ B') = A' U B'

A: To illustrate the set equality (A ∩ B') = A' U B', we'll use Venn diagrams. Venn diagrams are…

Q: 2. Compute e for the following: (a) B= (1 2). (b) B = 3= (1 ²). (c) For B as in (a) (resp. (b)),…

A:

Q: b. Prove that 1+cos20 +isin2030 cos600 + isin600 1+cos20 -isin20

A:

Q: 86. Show that Z, = r(cose + isine) and Z2 = r[cos(-6) + isin(-6)] are conjugates. %3!

A: Given,

Q: a) Ho:μ=2 Ha:μ>3 b) Ho:x̄=0.7 Ha:x̄<0.7    Are these null and alternative hyothesis correct

A: Null hypothesis is the statement about the population parameter, such a hypothesis is usually of no…

Q: 13. a) Show that Σ=0(−1)* (^)=0, and then verify that 0+0+0+--+++- = (1) + (3) + (3) + --- b)…

A:

Q: 13. a) Show that Σ=0(−1)* (^)=0, and then verify that b) Calculate 02 (*) + · (4) + ( ) + ··· = ((^)…

A: Binomial Theorem :…

Q: if U ={1 2 3 4 5 6 7 8 9 10} A={1 3 5 7 9} B={1 2 5} what is A'? what is B'? what is A'uB'?

A:

Q: roblem +43 pointe). Give the number of path components of each of the following symbols, regarding…

A: Definition: The path-components of X are the sets of the form {y∈X ∣ ∃ a path from x to y}, where…

Q: J Prove that if m* (A) = 0, then m*(AUB) =m* (B).

A:

Q: 7. Show that Σ=0(−1)*(^)=0, and then verify that 6 + 4 + 6 +-- ☹+C++-- 5 (3)

A:

Q: If In x + In(x – 2) = ln(7x), then x -

A: From the given problem:   lnx+lnx-2=ln7x   Now using the logarithmic property:   ln(a·b)=ln(a)+ln(b)

Q: If In x + In(x – 3) = In(7x), then a =

A:

Q: 5. Compute the following: (a) Compute nEN (--/-/- ¹ - -/-) 1 n (b) Compute nEN 2n 1 2n

A:

Q: 11. Prove the absorption law x +xy=x using the other laws in Table 5.

A: To prove: x+xy=x We use the following identities (1) x=x·1 (2) 1+x=1 (3) xy+z=xy+xz    ( This is…