od k. If k and k2 are induced moduli for x prove

Q: For some of the most interesting laws of modular arithmetic (Choose some of your liking, but do…

A: This is a problem of mudular arithmatic.

Q: f. Set up (but do not evaluate) an integral with respect to x to represent the volume of the solid…

A: To setup an integral which represents the volume of revolution.

Q: Determine the z-transform of the sequence x(n) = 3"u(n – 3) using z-transform properties. Express…

A: We find Z- transform of x(n)=3nu(n-3).

Q: Determine the z-transform of the followWing sequences using the z-transform table and the…

A: Definition: Z- transform of a sequence x(n) is…

Q: The z-transform of a unit, u(n) function 1/(1-z1) b. c. 1/(1+z1) d. Σαz1 а.

A: We find Z transform of unit step function.

Q: 10. Let o: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv2. Show that is a Q-linear field…

A: We have given a map ,  ϕ : ℚ2 → ℚ2  such that , ϕa + b2 = a - b2 We need to show that , ϕ is an…

Q: Theorem 8.5. (Minkowski's Inequality). Let1sp<o. hen for every pair f.g e L", we have Il f + g II, <…

A: this is a problem of functional analysis.

Q: For the continuous-time periodic signal (27 x(t) = 2 + cos (5TT + 4 sin determine the fundamental…

A:

Q: 1.Solve by logarithmic differentiation (x+1)(x+2)(x+3)2 Y=In( V(x+3)3(x+4)4

A:

Q: Plot the point with cylindrical coordinates (2, 27/3, 1)

A: Introduction: The distance from a chosen reference axis, the direction from the axis relative to a…

Q: [MO21] Test the convergence of the power series below: (1– 2n)3 (-4)" (x – 3)" n=1 Calculate the…

A: We have to find center, radius and interval of convergence of power series.

Q: 10. Let ø: Q(V2) → Q(/2) be the map given by ø(a+bv2) = a-bv/2. Show that is a Q-linear field…

A: Given :  ϕ : ℚ(2)→ ℚ(2)  be a map defined by ;  ϕ(a+b2) = a-b2. To prove :  ϕ is a ℚ-linear field…

Q: (2) Find the solution with initial condition (6,6).

A: This is a problem of system of differential equation.

Q: Solve the DE: (cos y- cos x)y' +cos y sin 2x=0

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: We have to minimise the given function using Lagrange's multiplies.

Q: Verify that lxl:|Ž Ž1% P) is normed spase: and show that nokmed Spase Spase:

A:

Q: Considey the eigen value pronem of -a unit disk Blo,1): on the in 3(o.1) Find the smallest…

A: We are given the following system.          -∆u=λu   in B0, 1uδB(0, 1)=0   ------(1) Here, we need…

Q: 2y dy +ニ=xy2sinx dx

A: Here we use reverse derivative.

Q: S: R² → R², S(x,y)= (2x + Y,x – 3y) , T: R? → R², T (x, y) = (x – yY, x + y).

A:

Q: Determine the z-transform of the sequence x(n) = {3, 0, 0, 0, 0,6, 1, 4} using z-transform…

A:

Q: An equation of the form F(x)=f(x) has roots which corresponds to the intersection points of the…

A:

Q: elp please

A: Given that 20-ounces of chocolates is for $5.

Q: t² cosh 8t

A:

Q: How many 5 digit odd numbers can you make if the digits 0-4 are available and each digit may only be…

A: Combination of the muber

Q: Show that the dictionary order topology on the set R x R is the same as the product topology Rd × R,…

A: We have to show that the dictionary order topology on the set ℝ×ℝ is same as the product topology…

Q: Proposition 82 (Ex4) Prove: For each integer a, a = 1. if a? = a, then a = 0 or %3D

A: Let a∈ℤ, ℤis the set of all integers. Let a2=a subtract a on both sides ⇒a2-a=a-a ⇒a2-a=0…

Q: п! F{t"e¬atu(t)} = (а + io)nt1

A:

Q: Q1: Use differentials 3x-2 the appsorimate ay to AY from clanges when and x 2 to 2:63-

A: Given function is y=3x−2. We have to approximate ∇y when y=3x−2 and x changes from 2 to 2.03.…

Q: dy - (x-y+ 1)'dx = 0

A:

Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

A:

Q: Consider the function on the interval (0, 2e). Ax) = x - 2 sin x (a) Find the open intervals on…

A: Relative Maxima and minimum using first derivative test

Q: Min Z=4X1+X2 S.TO 3X1+X2=3 4X1+3X2>6 X1+2X20

A: We are given the problem,

Q: Determine whether S is a basis for P3. S= {5 – 3t2 + t3, -4 + O is a basis of P3. t2, 3t + t?, 5t}…

A: Given S = 5 - 3t2 + t3, -4 + t2, 3t + t3, 5t

Q: Use n = 2 to approximate .Determine the error of estimate %3D

A: To approximate ∫01x3dx with sub intervals n=2

Q: Problem 1: Suppose that r (t) is a differentiable vector-valued function and the curve in the…

A:

Q: 00 (2-5)" nt2

A: As per guidelines, we are supposed to answer only one question. Here it is question 2) only.…

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: Let us consider the differential equation Mdx+Ndy=0 Determine the partial derivative ∂M∂y,∂N∂x The…

Q: please answer all the 4 parts, request

A:

Q: a) Find the degree 3 Taylor polynomial T3 (x) for the function f (a) = 4 In() centered at the point…

A: To find the Taylor polynomial of degree 3 for f centred at a=2.

Q: f(x) = x (a? – x?)"-3/2 H(a – x),

A:

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A: according to question, a store wants to have four different sizes small -Smedium - Mlarge - Lx-large…

Q: Determine the truth values of the following statements. The sides of an equilateral triangle have…

A:

Q: In the lab, a chemist wants to make a solution by dissolving 87 grams of a substance in 300 grams of…

A: Here we can use relation " Rate at which substance is dissolving is  proportional to amount of…

Q: 0. 11. If we buy 2 tickets from station A to station B, and 3 from station A to station C, we have…

A: To solve the word problem Determine what is required to find Write the statement in mathematically…

Q: Find an equation of the sphere satisfying the given conditions. a. It is concentric with the sphere…

A: Under those conditions no sphere is possible. Find the details below.

Q: | f(t)f(t – t)dt = 6t³

A:

Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at 5. f (2) = 4 In(x – 4) +1 a) Find the…

A: The given function is fx=4lnx-4+1. We know the Taylor Polynomial of 4th degree at x=a is…

Q: Water is flowing through a network of pipes (in thousands of cubic meters per hour), as shown in the…

A:

Q: True/false: Suppose f(r, y) and g(x, y) are continuous functions and f(x, y) > g(x,y) for all x, y…

A:

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A: