The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X1 X2 S2 S3 15 30 1 1 1 1 1 2 - 2 1 1 ... when x, =x2 =s, -$2 = and sg -D The maximum is %3D !! (Type integers or simplified fractions.)

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

A: X is a random variable with mean μ and variance σ2 MX(t) is moment generating function we are given…

Q: Find the orthogonal projection of -14 = -14 onto the subspace W of Rª spanned by and -2 projw(v) = 2…

A: To find The orthogonal projection of v onto the subspace of W of R^4 spanned by the given vectors.

Q: Find the Laplace Transform of (t2 +4t + 2)e3t 4 2 4 (A) (s - 3)3 (s - 3)2 3 2 4 2 (B (s - 3) 3 (s –…

A:

Q: Suppose that (Sn) and (t„) are convergent sequences with lim s, = s and lim t, = t. Then b) lim…

A:

Q: Assume that  dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show…

A: Given- Assume that  dx1dt = x110 - 2x1 - x2dx2dt = x210 - x1 - 2x2 To find-  Graph the zero…

Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

A: (a)  ∫∫Rf(x,y)dA=∫24∫13f(x,y)dydx + ∫45∫2x-73f(x,y)dydx

Q: Q2\A\\ ( Use the Integral Test to determine if the following series is convergent or divergent, (two…

A:

Q: Let X be the graph of f(x) = x-1s given below

A: Sol

Q: if it was X-fask and Y-PSm t it 2.

A:

Q: Find F(2). 5sinh (3t) + 4cosh (3t) round off to 1 decimal place. Answer: -4.6

A:

Q: Consider the quadratic function f: R3 →R defined by f(X) = xỉ – x1x2 + x – x2x3 + x3 + 1 A: Express…

A:

Q: For problems 4 - 6, evaluate I= -dz on the given contours. Question #4) Question #5) Question #6)…

A: We have to evaluate I = ∮C 1z4 - 1 dz on the given contours :          4.   C4 : z - 3 = 3…

Q: (a) Find the inverse of the matrix 3 -6 -4 A = -9 -4 1 -2 -1 A-1 (b) Use the answer from part (a) to…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1. Calculate the below questions using basic properties of projective geometry: a. Suppose there are…

A:

Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

Q: 1. pv(~ рӨq) P ( ~p q) V F F 2

A: The logical symbol "∨" is used to denote "OR". The logical symbol "⊕" is used to denote "XOR". The…

Q: If ||v|| = 6 and ||w|| = 4: What is the smallest possible value of ||v What is the largest possible…

A:

Q: 3.4. For the standard coordinates uj = 0, u2 = Y on the sphere of radius a, compute the first…

A: Given: The standard coordinates u1=θ and u2=φ on the sphere of radius a.   To compute: The first…

Q: Question 4. Use Taylor's Theorem to estimate sin(3) to within 1/60.

A: This is a problem of series approximation.

Q: equilibrium

A:

Q: Use your preferred method (full truth table, indirect table, etc.) to determine if this argument is…

A: Solution

Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: Given that,C1 is the circle r=3cosθC2 is the cardioid r=1+cosθ

Q: AlLAnswer true or false , (five only ) ( All (-1)" 1 1. n=0 n! If lim an = 0, then an converges. 2.…

A:

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31…

A:

Q: 6. Let V be a vector space of dimension n and W a vector space of dimension m. Let L: V → W be a…

A:

Q: 3 1 -1 1 tA = [1 B= [0 1 ‚ nd the least-squares solution to the equation Ax = B.

A:

Q: Utt = C°AU in IR3 Schve the equations welve %3D with initieh dotes U0)= ¢()ー 0 Ut(8っ0)= Y(R)=X

A: The partial differential equation given is as follows: utt=c2uxx The initial conditions given are as…

Q: A company has 30,000 employees in three cities as shown in the table below. It wishes to give…

A:

Q: Two similar cones have heights of 4m and 12m. What is their scale factor? What is the ratio of their…

A: Given: Both cone are similar

Q: Use the cylindrical shell method to find the volume of the solid generated by revolving the shaded…

A:

Q: 1. рV(~ р@9) p p (~p q) F F F F >

A: The truth table is given below.

Q: 4. Evaluate the iterated integral: E dydr. 1/4

A: Double integral

Q: Find the radius of convergence of the series 2" O 1/2 O1 O infinity IM:

A: Answer : radius of convergence of the series is 2

Q: N-1 N, k-r = mN, m an integer | Se-i(27/N)(k-r)n n=0 0, otherwise

A: To prove: ∑n=0N-1e-j2πNk-rn=N,k-r=mN, m is an integer0,otherwise

Q: 3. Solve the initial value problem y" – 3y' + 2y = 10 sin x with y(0) = 1, y'(0) = -6 by using both…

A: The given initial value problem is                                          y''-3y'+2y=10sinx,…

Q: -s of the matrix or p = 2. What the Eigen valu

A:

Q: 2. Given that cos pv o v+B? 2B (a) Find the Fourier transform of x+b? (b) Use the result from (a) to…

A: Sol

Q: + y4 + z4 = 3x?y²z?, (1, 1, 1) (a) Find an equation of the tangent plane to the given surface at the…

A:

Q: Consider the number C(n,r) given by n! C(n, r) = (2.1) (n – r) ! -r ! where n and r are integers…

A: Given : Cn, r is given by      Cn, r=n!n-r!·r! where n and r are integers satisfying      n≥2    and…

Q: Find the following Laplace and Inverse Laplace Transform of the function. (Kindly typewrite the…

A: Laplace transforms

Q: Utt = cAU in IR3 Schve the wave eruations %3D with initiel dite, U(30)= 中()= 0 %3D

A: The partial differential equation given is as follows: utt=c2uxx The initial conditions given are as…

Q: model requires: • 2000 ft of framing lumber • 6000 cubic feet of concrete • $4000 for advertising…

A: Given are two models and with information about framing lumber, cubic feet of concrete, advertising.…

Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

A:

Q: A radio transmission tower is 424 feet tall. A guy wire is to be attached 6 feet from the top and is…

A:

Q: e) x·y= 0 iff x = 0 or y= 0. ) x<у iff — у < -х.

A:

Q: nsform of 20 sinc (10(t - 10)

A:

Q: 86s – 78 Find the Inverse Laplace Transform of (s+3) (s – 4) (5s – 1) - (A ,-3t – e 41 4e 41 4r B) 5…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: - Suppose that A and B arenxn matrices and A is invertible. Invent and prove a theorem that…

A: Solution

Q: Solve the equation below using A. Laplace Transformation B. Undetermined Coefficient OR Variation…

A:

Q: Y OU (a) Find the least residue of 639 modulo 10. (b) Use Fermat's little theorem to find the least…

A: