x(k)-3x(k-1)+2x(k-2)= e(k), e(k)= [1, k = 0, 1 0, k ≥ 2 x(-2) = x(-1) = 0

Q: (a) What is the maximum height reached by times this maximum occurs? (b) What is the minimum height…

A: Given Information:To find:a) Maximum Height and its time (first two times).b) Minimum Height and its…

Q: show the equation z^2-4ln(5z+2) = 0 has atleast one root in the interval ( 0,4)

A:

Q: Prove that for any u, v € R" we have ||u+v||²+ ||uv||² = 2(||u||² + ||v||²).

A:

Q: is it a binary option? is it associative? identity element= inverse elements=

A: 7. Given that and define a binary operation on S by                                           To…

Q: Create the vector R = A + B by following the steps in the Tactics Box above. When moving vector B,…

A: First we shift the vector B without changing its direction and length so that it's initial position…

Q: The processing time a CPU needs to complete a process is given by T(p) 0.26p³ 1.17p² + 4.8, where p…

A: 31. The processing time a CPU needs to complete a process is given by .The aim is to find the…

Q: 1. The graph of f(x) is shown below, and g(x) Compute the limit. If the limit does not exist.…

A: If the left hand limit limx→c−f(x)=limx→c+f(x) right hand limit,  then the limit of the function f…

Q: Exercise 1.4.4: Solve y' + xy = x.

A:

Q: Perform each of the following calculations Problem 4: (a) + using 3-digit chopping arithmetic. (b)…

A: Any positive real number  r  within numerical range of the machine can be normalized to achieve the…

Q: 3) if Aza,i + a₂j + a³k , 13 = bi + bj + bk Prove that the .(A-B) -13 -(DXA) - A - (DXB) Vactors

A: We have to show Note: In the question  is given which is incorrect. It should be

Q: 6- Find the work done to turn a particle around a circle in the n plane, whose center is the origin,…

A:

Q: (d) 1 0 2 1 1 2 0 1 0 1 2 1 1 2 0 0 1 3 1 0 1 0 2 2

A: (d) The given augmented matrix,The aim is to find the general solution to the augmented system.

Q: Q3: Given the following data: X 0 1.5 4 9 f(x) 0.2 2.5 4.3 2 Fit to this data by using least squares…

A: We have to fit data using least equare technique

Q: Consider the following. y = sin() Find the period and the amplitude of the graph of the function.…

A: The given function is:.Compare with:.So, the values are:So, the amplitude is:The period is:The phase…

Q: 9.1. Regular values Define f: R² → R by f(x,y) = x² - 6xy+y². Find all values c ER for which the…

A:

Q: Consider the following function and point. =X+2, (3,5) (a) Find an equation of the tangent line to…

A: The given function .The aim is to find the equation of the tangent line at the point  and sketch its…

Q: Ex 4.) Let Sbe a non empty bounded set in 1. aj Let azo, and let a S:= {as: SES}. Prove that inf…

A: Let S be any -empty bounded set in a) Let  , and let  Since,   is a bounded subset of , Sup and Inf…

Q: (-n) ³ 3n² +9 absolutely convergent O conditionally convergent O divergent The series =0 is

A: The given series .The aim is to determine the series is absolutely convergent, conditionally…

Q: 2z+5 (3) $ ,2 — 2z -dz: - 1 (a) \z\ = 2 ܕ2 = |1+ b( |z)

A:

Q: 2+2 -dz; = z²(z-1-i) (a) || = 1, (b) | - 1 - i = 1 (5) f 1 fc = 23 ( 2 - 4) (a) | = 1, (b) |z – 2 =…

A: 5) a) Let                  Cleary, g is  analytic inside and on C.Then, we can apply the Cauchy…

Q: S where t is the time in seconds. Approximate the average velocity of the object over each time…

A: To approximate the average velocity of the object over the time interval [3, 5] seconds, you can use…

Q: We want to solve the following system using the Gauss-Jordan (i.e., Elementary Row Operations)…

A:

Q: Let {S;:i E A} be a non-empty family of prime ideals of a ring R and suppose if i, je A, then either…

A: Let be a non-empty family of prime ideals of a ring R and suppose if i,j∈?, then we will show that…

Q: s.t. min z = 2x1 +52 x₁2x2 + 3x3 ≤ - 2x1 +6x2x3 ≥ 3 3x18x2 +9x3 = 6x17x2 - 4x3 ≤ x₁ ≥ 0, x₂ ≤ 0, x3…

A:

Q: It can be shown that all solutions of 5y' + ty = 3 approach a limit as t→∞. Find the limiting value.…

A: Given differential equation isRewrite it,

Q: We wish to find the volume of the torus (doughnut) formed by revolving the circle (x-9)² + y² = 36…

A: Graph of (x−9)2+y2=36Graph of solid:

Q: Find the group of geometric transformations that leave a square prism invariant, writing the…

A: Given Information:A square prism is given.The top and bottom faces are square.Rest faces are…

Q: The surface S is given by the parametric equation r(u, v) = ui + vj + −k, 0 ≤ u ≤ 1, 0≤ v ≤ 2. và…

A:

Q: Consider the operator 10 0 Sh 0 0 0 0 0 −1 What is the expectation value of S for the state 9ħ/14…

A: The expectation value of the operator  S  for the state  ψ  is given by  < ψ | S | ψ > .

Q: Find all points on the curve r(t) = ti + t²j+t³k where its tangent line is parallel to the vector…

A:

Q: Given the matrix A= -4 -3 01 0 -1 4 1 TO+ 5 0 3 46 a) Determine all solutions of the homogeneous…

A: The given matrix,.The aim is to find all solutions of the homogeneous system  and determine the…

Q: We are trying to prove the following limit. lim (6 - 2x) = -2 x→6 Once we have specified in terms of…

A: Given,                To fill in the blanks for the following statement i.e.

Q: 12 The following graph depicts the function, P(m), which models the profit (in thousands of dollars)…

A:

Q: 2-adic representation of 100 is 100 = 1.22 +1.25 +1.26, and the 3-adic representation of 100 is 100…

A:

Q: 1. Find and sketch the convolution of h(t) =f(t)*g(t) where

A:

Q: Let c be a number, and let a and b be vectors in R³. Let x = (x, y, z). Show that the equation (x−…

A:

Q: Consider the following incidence matrix 10000 0 0 0 1 1 0 0 0 0 00 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0…

A: Given Information:Incidence Matrix is To draw:a) Use Incident matrix, draw the respective graph.To…

Q: Every positive integer is always divisible by 1 and by itself. That is, for every posi- tive integer…

A:

Q: (b). Show that (0, 1) and (0, 1) U Z have the same cardinality. (c). Show that (0, 1) and (0, 1) U…

A:

Q: Find the general solution of the system whose augmented matrix is given below. 1 26-212 13 C. Select…

A:

Q: In an integral domain if there exists a lowest common multiple of any two elements, then it is…

A: We have to show that ,in an integral domain if there exists a greatest common  divisor of any two…

Q: Q3) Solve the following boundary value problem using finite difference method given that…

A: Given Problem:Differential Equation:  Mixed boundary conditions:Step size: .This implies that the…

Q: No written by hand solution and no image Suppose that || · || and ⟨⟨·⟩⟩ are two norms on Rn. We say…

A: To prove that the given norms are comparable, we need to find constants c1 and c2 such that for all…

Q: Find integers X and Y such x that 13x+154=])

A:

Q: If x= f(u, v), y = g(u, v), u = D(r,s), and v=Y(r,s) are differentiable functions then prove that…

A:

Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

A:

Q: For positive integer n, prove the following (given that I() = √T): T(n + 1) = 1-3.5 (2n-1)√√ 2" =…

A:

Q: 5) if it is r = √ x² + y² + Z² and fir) a deritable function prove that √ ² f(r) = d²f then find…

A:

Q: For each f(n) below find the simplest function g(n) such that f(n) - 0(g(n)). (a) f(n) – Σ (b) f(n)…

A:

Q: Ex2:] If S:= {1/n - 1/m:n, mEN3, find inf Sand sup S.

A: