3. If u= (x+y +z') , prove that +y

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: E. If T:(x, y) -→ (x + 2, y), then T²:(x, y) → (_²_, _?_).

A: Given: Tx,y→x+2, y To determine: T2x,y→?,?

Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

Q: Let x, y ∈ R. Suppose x^2 +y^2 = 0. Prove that x = 0 and y = 0.

A:

Q: Let X=(1,0, – 1, -/2)'. Then, ||X||=v2 Select one: True False

A:

Q: 3) u = y f( ise XU, + yu, t zu. = ?

A:

Q: 23) -4V192X 25) -4V216xy'z

A: Given query is to simplify the expression.

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Condition JW=3.6, j0=0.4

A:

Q: Prove that if m is a positive interger, l'(-m+) = 1.3.5..(2m -1)

A:

Q: 4

A:

Q: Vr+2+Vx-2 If a = prove that a -ax +1=0 Vx+2-Vx-2

A: To prove , we need to simplify the left hand side of the equation till it becomes 0. To do this…

Q: 29. Show that the functions (x) = sin mx, m = 1, 2,... are orthogonal over the interval [-, ].…

A:

Q: Prove that u × 0 = 0 × u = 0.

A:

Q: (9) Ur = = UF'(A)) and that f Prove that f-1 (μη) = - U ΜΑ»). ΑΕΛ

A:

Q: Prove that • I %3D

A:

Q: In (z z2) =

A: I have provided this answer in step-2.

Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: Prove that, cosh-'x = In |x + vx² – 1 for x 2 1 -기/

A: This question is based on Cosine hyperbola.

Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: 3. Prove the Distributive Laws: PV (q^r) = (pVq) ^ (pVr) and p^(qVr) = (p^q) v (p^r).

A:

Q: Əz x²y + 7y²z + xz² = 9 ax'

A:

Q: What is r' (x) when r(x) = In ? Select the correct answer below: O Pu) = - Sr+1 O rw = - Sr+1 x) = !…

A:

Q: If (x* – y*,x – z°) = 0,z = z(x, y), prove: az y3 az +x³z4 ax - %3D ду 3

A:

Q: Let...

A: Given expansion formula is  a+bn=∑nkk=0nan-kbk

Q: (3+i)"=2" cis - пл

A: Use the  De Moivre's theorem and simplify to prove the above expression.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.