(c) Find the inverse z-transform of Y(z) : (z-1)(z+3) * [Hint: Express Y/z in partial fractions]

Q: 4. Find the number of surjections from {1, 2, ..., m} to {1, 2, ..., n} such that no element in the…

A: The number of surjections from {1,2,...m} to {1,2,.....n} (m>n) is  ∑i=0n(1)ini(n-i)m

Q: A manufacture has been selling 1900 television sets a week at $510 each. A market survey indicates…

A:

Q: Write the system in the form Ax = B and use x = A-'B to solve the system for each matrix В. Tị + 2x2…

A:

Q: Which are the five roots of 1 in the complex domain? What are their natural logarithms?

A:

Q: a) Determine the value of the scalar k so that the polynomials p(t)=t+k/8 and q(t)=−t2 are…

A:

Q: the <t < c is

A:

Q: Mathematics grade 4

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (-1)"r2n 1. For all z € R, cos I = L(2n)! -Σ n=0 (a) Find a power series that is equal to r cos(a)…

A:

Q: Show that the series converges.

A:

Q: 7. The reduced row echelon form of the augmented matrix of a system of equations is given. Find the…

A:

Q: Solve the system of linear equations below using: 1. Gaussian Elimination 2. Gauss-Jordan Method 2w…

A:

Q: (iv) If Z{y«} = Y (z), yo = 0 and y, = 1, then Z{y«+2} = z²Y – z. %3D (v) Z-1{ = 2* , k = 1,2,3, .

A:

Q: Example: Evaluate J = S, e-**dx by using trapezoidal rule, n=10.

A: Given Integral is J=∫01ex2dx

Q: Determine whether each of the following series diverges, converges absolutely. or converges…

A:

Q: Use the given transformation to evaluate the given integral, where R is the triangular region with…

A: To find the integral using given transformation .

Q: At t = 0 the tank shown in fig. is full up to top level, write the differential equation for the…

A:

Q: 21. Consider the following linear program: Мах 24 + 3B S.t. SA + 5B S 400 Constraint I - 1A + 1B s…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Name:Vio mar Mixed Numbers and Improper Fraction Write the mixed number and improper fraction for…

A:

Q: {4y=+3x+3−15x+py=−2{4y=+3x+3-15x+py=-2 What value of pp makes this system inconsistent? p=p=

A: Given, Equations-    4y=3x+3-15x+py=-2 To find: Value of p for which system becomes inconsistent

Q: (ak .. aza1a0)10- How many digits do you need to know to decide if x is Consider x = (a.) divisible…

A: Given,x=ak......a2a1a010To find: Number of digits required to check whether x is -             a)…

Q: Given a function F(x) =xv/x+6. a) Find the intervals of increase or decrease. b) Find the local…

A: Given  function F(x)=x(sqrt(x+6))  We have to find  a)  the intervals of increase or decrease. b)…

Q: 6. Determine whether the given matrices are inverses of each other by computing their product. 1 3 2…

A:

Q: For the given differential equation, apply the Laplace transform and solve for Y(s) = L{y}. y" + y'…

A:

Q: Compute the maximum value of the utility function U(x,y, z) = xyz, subject to x + 3y + 4z 60. %3D

A:

Q: Let g(x) be a continuous function and let g(") (x) be the n-th derivative of g(x). Find an example…

A:

Q: integrating x and xy' - x 12 = ?

A:

Q: A solar oven is to be made from an open box with reflective sides. Each box is made from a 30-in by…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: ¯X f(x) =x+ e Solve this question by the Bisection method on the topic of solution of Algebraic and…

A: The given function is fx=x+e-x

Q: Let (A= (2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72), R) be a partially ordered set, where the relation…

A: We have to find the smaller element of set. Set of all upper and lower bound.

Q: Exercise 6. Evaluate the integral ffn ldA, where D is the region bounded by the lines y = 2x + 5, y…

A: Let us considre the given integral I=∫R∫f(x,y)dxdy Transform the variable to x=f(u,v)y=g(u,v) The…

Q: A study was conducted to evaluate the stress level of senior business students at a particular…

A:

Q: A function f(x) is continuous at x = c if lim f(x) = f(c). if x + 0 Consider the function f(x) :…

A: The given function is                            fx=xx    if x≠01       if x=0

Q: With initial values y(0) = y'(0) = 1, the solution of dy %D the differential equation +4 dx? dy da +…

A:

Q: 1 (p(t), q(t)) = So' p(t) - q(t) dt

A:

Q: C. х/8х — 64х+ 124 dx X = dx -39 — 5х2 + 30х d. x =

A:

Q: P(Sum of the two dice is not 8)= P(Sum of the two dice is 4 or 9)= P(Sum of the two dice is not 7…

A:

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 2 5 1 1 A = 3 7 2 2 -2 10 23 7 -2 10 1…

A:

Q: show your solution thank you

A:

Q: If A be nxn matrix with eigen value L then find the eigen value of inverse of A .

A: Given A be n×n matrix with eigenvalue L then we have to find the eigen value of inverse of A.

Q: Use the information provided to write the standard form equation of the hyperbola. Show your work…

A: We have to find the standard form of the hyparbola from the given data.

Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

A:

Q: 1) Given the following periodic function, find its Fourier sine and cosine series. s) - { cost, 0.…

A: We have given a function ,  ft = 0 , -π &lt; t &lt; 0cos t , 0 &lt; t &lt; π We know that , Fourier…

Q: Exercise 2: Solve the following heat equation (u(x, t) = u,,(x,t) + x sin(t), %3D u(0, t) = t, |…

A:

Q: Given the double integral y ey dA where D is the region enclosed by the curves D y = x,y = 4 and r =…

A:

Q: 3 f(x) = x° – cos(x) Solve this question by the Newton-Raphson method on the topic of solution of…

A:

Q: 6. The postion of a certain spring-mass system satisfies the initial value problem u"+ ku =0, u(0)…

A:

Q: Find a Möbius transformation which maps the line Re z =5 and the circle |2| = 4 onto concentric…

A:

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A x = y-(1 + e'-*) B y = x-2(1 + el+x) © y = x-'(1 -…

A:

Q: a) Find Y(s)/X(s) for the following differential equation d³y dydy. d?x dx +6+5y=- +2+9x, where the…

A:

Q: Find the area inside both curves. r = 2+ sin(20),r =2+ cos (28)

A: