Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject to the constrain x² + y? + z? = 144. Also give the points where these extreme values occur. Maximum = i Minimum = i Maximum is at ( i i Minimum is at ( i i i

Q: Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) У1' %3D…

A:

Q: Find the number of permutations without replacement that can be created by drawing 5 balls from a…

A:

Q: c) Find u (v x w) if u = [0,0, p], v = [0, q, 0] and w = [r,0,0]. %3D

A:

Q: For the maximum flow network diagram shown below, what node is the source and what node sink? 23 11…

A: We are given the directed graph.

Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

Q: How can you relate antiderivatives as an opposite of derivatives in your life?

A: Solution:   Antiderivatives are the inverse operations of derivatives or the backward operation…

Q: Solve the following differential equations of (2xy - 2y)dx+ (3x'y-4x)dy 0

A:

Q: Solve the following differential equation, (s x)+(cos x) y = 3 sin x with the initi al dx condition…

A: Given differential equation is (sin x)dydx + (cos x)y = 3sin x

Q: II. Solve the initial-value problem x"(t) – 2x'(t) = 6 – 4t; x(0) = 2,x'(0) = 0.

A:

Q: Question 27 A box contains three coins: two regular coins and one fake two-headed coin(P(H)=1). You…

A:

Q: In this problem use paper and pencil except for evaluating the function you can use calculator.…

A: here we will solve the equation with help of fixed-point iteration  x2-x-8=0 x2=x+8 x= 1+8x…

Q: The Taylor series for a function f about x=2 is given by >-0 (-1)". п Зп+1 (x – 2)" which converges…

A: We have to find the error bound of alternating series.

Q: c. Integrate the following function using integration by parts. į fxe* dx Inx i. dx

A:

Q: 7hat is the result of applying the row operations -3R1 + R2 → R2 and –R1+ R3 → R3 to the natrix [1 2…

A: Given matrix is 12-13-22abc

Q: Which of the following matrices is not in reduced row-echelon form ? 10 0 4-) 0 0 1 5 0 0 0 0 1 1 0…

A: We want to find the matrix which is not in reduced row-echelon form

Q: Which of the following is longer than 600 meters? * 60 dekameters 23,000 inches 2,000 feet 600 yards

A: Solution

Q: Solve the linear system below using Gauss Elimination and determine whether the Lolution is…

A:

Q: From an initial population of 2500 , the number of Encantados living in the kingdom of Lireo rose to…

A: Given, Initial population,P0= 2500Final population, P = 62,571Number of years, n =46Birth Rate =…

Q: You want to buy a $160,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan…

A: First, we have to find the total loan amount, and then we can proceed further.

Q: Question 2: a. The probability distribution of a discrete random variable X is given below: 1 P(X…

A:

Q: 3. Determination of integrating factors: 2y(x+ y+2)dx+(y² –x² - 4x -1dy = 0 4. Substitution…

A:

Q: Given: 6n An 12n + 13 For both of the following answer blanks, decide whether the given sequence or…

A:

Q: (21² cos0 sen 0 + rcos0) d0 +(4r + sen 0 2rcos20) dr = 0

A:

Q: Arguello works for a sales company with a regular work schedule per week of 40 hours at $14.75 per…

A: Solution

Q: Find the series solution of y’’+xy’+y=0 using the Power Series method.

A: We have to find the series solution of y’’+xy’+y=0 using the Power Series method.

Q: True or false 1. (peq) = -(p=-q)

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: Use a Venn diagram to determine if the pair of sets are equal. S. S'nT and (SUT')' II III IV

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: Question 2. Approximate the roots of the polynomial f(x) = X° - 7X + 6 using False-position method.

A:

Q: What value of t ensures the following system of equations has no solution? 3x + (12 – 4)y = 1 ty = 2…

A:

Q: 1. a) Convert the hexadecimal number 2AC.5 to decimal. b) Use the Euclidean algorithm to find the…

A:

Q: 8. Demonstrate that the equation 2r = 3 (mod 6) has no solution by plug ging in all possible values…

A: Solution

Q: You are given: (i) H; 1 for 0 Sx <110. 110-x (ii) 8= 0.05

A: We need to find average cost of life insuranceafor a person aged x after 10 years from now. Which is…

Q: Using Bisection method find the solution of h (x): = xcos2x +1 = (x - 2)2. Use as initial values and…

A: given method hx=xcos2x+1=x-22 use as initial values π2 and 5π6. stop iteration if the error is less…

Q: 11. Find a basis of the following subspace of R4. all vectors of the form (a, b, c, d) where a + b –…

A: The solution is given as

Q: Let A = 2 1 4 so that A4(t) = (t–1)³. Define T : R³ → R³ by T() = Ax. %3D 1 0 3 1 by first (a) Find…

A: Given the matrix A=-10-4214103 so that △At=t-13 and define T:R3→R3 such that Tx=Ax (a) We have to…

Q: 4. For r > 0 and h > 0, show that the conical set S = (x, y, z) | x > 0, y > 0, z > 0, z2 h?(r2 - x²…

A:

Q: Let T and T, be linear operators on V and let W be a subspace of V. Show that if W is invariant…

A: Let T1 and T2 be linear operators on V and let W be a subspace of V. If W is invariant under both…

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A:

Q: Mav was comparing the price of ground beef at two stores. The equation y = 4.81a represents the…

A: Given,  The total cost of ground beef at super grocery B is represented by the equation, y= 4.81x

Q: x''-2x'+x=4e^t

A:

Q: Q1.In the differential equation 4(3x + y - 2)dx-(3x + y) dy = 0, we let the substitution dw…

A:

Q: OM has diameter NP and the measurements shown below. What is the area of the shaded sector? 16 m…

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: 6. Given that z = u' + 2v – x + 3y; u = r´ - s', v = r´ + s´, x = 2rs, y = 4. Find 2 =r dz(r, s, h,…

A: Given, z=u2+2v2-x2+3y2u=r2-s2 v=r2+s2x=2rsy=2rsTo find: dz(r,s,h,k)

Q: Find and classify all critical points of the function f(x,y,z,w) = x^2 + 5/2y^2 + 3x^2 + w^2 +…

A:

Q: Solve the given linear programming problem using the simplex method. If no optimal solution exists,…

A:

Q: Say z1=2+15i and z2 = 3-6i, find z1*z2

A: We have to find z1*z2 where z1=2+15i and z2=3-6i

Q: 94: For the system presented by the function x +y+ 2 4xy. Calculate all the possible points at which…

A:

Q: Find the area of the shaded region. Vcos 20 r = 2 cos 0 NOTE: Enter the exact answer. A ||

A:

Q: Using Bernoulli's equation

A:

Q: Let e > 0 be given. Find & > 0 such that |x – 2| < 8 implies that J22 + x – 6| < e. A nsw er:

A: