(i) Identify the critical numbers of f. (Enter your answers as a comma X = (ii) Identify the open interval(s) on which f is increasing or decreasing notation.) increasing decreasing (1)

Q: Minimize: Subject to the constraints: 3x₁ + 2x2 + x3 ≥ 23 X1 + X3 ≥ 10 8x1 + x2 + 2x3 ≥ 40 X1 > 0 C…

A: Minimize subjected to constrain

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 5xy - 4x² -…

A:

Q: Find the values of p for which each integral converges. 2 a. 1 dx x(In x)P 2 a. For what values of p…

A:

Q: 25.10 (a) Show Σ1n converges for x = [0, 1). xn 1+xn (b) Show that the series converges uniformly on…

A: 25.10 (a) we  have…

Q: The outer product of two column vectors x ∈ Rm, y ∈ Rn, is the m × n matrix x ⊗ y := xy⊤ (the…

A:

Q: A cylindrical tank having a radius of 0.5 meters and a height of 2 meters is half-full of kerosene,…

A: Given that a cylindrical tank has a radius 0.5 meters and height 2 meters. The cylinder is half-full…

Q: how did you get -ln(A-T)=kt + C ? I'm not understanding where the negative came from...the integral…

A: Here the intergrand is  which is integrated with respect to T. Here the coefficient of T is (-1) in…

Q: A right circular cylinder solid has boundaries z = 10, z = 20, and x^2 + y^2 = 16. Set up triple…

A: A right circular cylinder solid has boundaries z=10,z=20, and ,Now let cylinderical coordinatesthe…

Q: Shown to the right is a set of log-log axes. The x-axis is the problem size N for a system of linear…

A: The x-axis is the problem size N for the system of linear equations and the y-axis is the total…

Q: Consider the graph of y = f() shown below in blue. Submit your answer to this question by completing…

A: The given graph is a cubic graph (degree 3).Let  y = f(x) = ax3 + bx2 + cx + (-2)  be the graph (…

Q: Draw qualitative phase line diagrams for the differential equation y' = 2y^3 - y^2 + ay, for all…

A:

Q: SWIJ Sin (1) Guess diverges (why?) (12) Sin(+) > U it

A: To Find: If the series  converges or diverges.

Q: Given that n(An B) = 5, n(An Bn C) = 2, n(An C) = 5, n(B nC)=2, n(An C) = 11, n(B nC) = 5, n(C)=8,…

A:

Q: . Let z ER\ {0}. What is the minimum value m ER of the expression 4x² + 91² ? mn =

A:

Q: If (X, d_{1}) and (Y, d_{2}) are metric spaces, we define d: (X × Y ) × (X × Y ) \rightarrow R by…

A: Let X be a nonempty set with a mapping d:X×X→R is said to be a metric space if mapping d…

Q: periodic: x(n) = cos(4™) + sin(57)

A:

Q: Given the differential equation: dy dx + (1 + y²) = 0 y(0) = 0 a. Show that the differential…

A:

Q: Suppose that f : D → R and that c is an accumulation point of D. Prove that if limx→c f(x) = L, then…

A: Suppose that   and   is  an  accumulation point  of Let Then, for any there exist  a   such that…

Q: x(n) -3 Select one: O x(n) 3 -2 2 -1 0 -1 1 -2 2 3 - = = 3u(n + 2) + 2u(n + 1) − u(n) — 2u(n − 1) -…

A:

Q: Obtain the extreme values for: f(x,y)= x^2+y^2+xy+a^3/x+a^2/y

A: The function is .To find the extreme values.

Q: = {u₁, U2,. 11. Let S un} be a linearly independent subset of a vector space V over the field Z₂.…

A: Let s be a vector belongs to span (S) We can write s = a1u1 + a2u2 +.......+ anun…

Q: B.C. IC Solve. Completely to the final form of the 200 Solution as a Fourier Series the heat LA…

A: Given Heat equation is the following :Let, so we get By substitution ,we get

Q: e) When x = 2, k(x) IS/ IS NOT continuous, and k(x) IS/ IS NOT differentiable. (Circle the correct…

A:

Q: Evaluate the integral [³ a S (1 + sin² x + ● . + sin¹6 x) dx

A:

Q: Suppose that S1, S2, ..., Sn are sets in R'; and that S=S1∪S2∪ ...∪Sn Define Bi= sup Si and bi=inf…

A:

Q: uppose your salary in 2015 is $70,000. If the annual inflation rate is 5 %, what salary do you need…

A:

Q: Determine the inverse, Dn¹, of the following matrix 3 1 2 (1) D₁ = 2 0 1 2 4 1

A:

Q: Solve the linear ODE by integrating factor method: (x^2)y’ + xy = 1

A:

Q: Find an LU factorization of the matrix A (with L unit lower triangular). A = L U = || - 20 4 42-5 48…

A:

Q: Using the sine and/or cosine law, sin A sin B b a c² a² +6² - 2ab cos C Find the magnitude of the…

A: Given query is to find the resultant of the vectors.

Q: The diagram shown is a visual representation of which type of join? A B O Right outer join O Left…

A: We have to visualized the type of join of given diagram.

Q: In the next two problems, please do the calculations by hand and show your wo 2. (i) Find all…

A:

Q: Consider the following tableau: P 0 0 1 X1 -1 1 X2 $1 S2 1 1 0 -1 0 1 -2 -1 0 0 0 a) Determine the…

A:

Q: Fill in the matrix representation for the relation depicted in the arrow diagram. 1 3 2 123 1 Pick…

A:

Q: A function multiply_A(x) that computes Ax, the result of multiplying a matrix A ∈ Rm×n by a column…

A:

Q: Exercise 2.6.1: Derive a formula for xsp if the equation is mx" + cx' + kx = Fo sin(wt). Assume C >…

A: Given Information:The equation is given as .To find:The particular solution to the given…

Q: the function f(x) => decimal places. 4x 3x correct to six decimal places. (Enter your answers as a…

A:

Q: I the power X In - [² th tl at] 0 series of the function F(x) = S -dt dy about co t-1 = 1

A:

Q: The integral in this exercise converges. Evaluate the integral without using a table. 2dx So (4+X)√X…

A:

Q: 22) A ball was dropped directly into the entrance of a tunnel at A. The ball may exit through one of…

A: Given information:A ball was dropped directly into the entrance of a tunnel A.The ball may exit…

Q: Use the contour map in figure below to determine whether the critical points A, B, C, D are local…

A: A contour map is given in which A, B, C, and D points are mentioned.The objective is to find the…

Q: 3. State the domain and range of each function. Explain your thinking. a. f(x) = -3√√/2x+8-1 b. g(x)…

A:

Q: 1. Given that f(x) = {(1, 3), (2, 9), (5, 7), (11, 9)} and g(x)= {(2, 8), (3, 1), (4, 5), (9, 1),…

A: Composition and division

Q: Problem #8: Use Divergence theorem to find the outward flux of F = (4x², e, cos³(y² + x)) of the…

A:

Q: (a) Use Euler's method with step size 0.2 to estimate y(2.4), where y(x) is the solution of the…

A: Given:Use Euler's method with step size 0.2 to estimate y(2.4),wherey(x)is the solution of the…

Q: Solve the Cauchy-Euler equation 4t2y"-12ty' +20y=0 with intitial conditions y(1) = 5, y(1) = 6. y(t)…

A:

Q: Problem #3: Let F(x, y, z)= (5y, 6x, 5y). Use Stokes' theorem to compute F. dr where C is the…

A:

Q: Use determinants to decide if the set of vectors is linearly independent. 5 - 6 BE - 1 2 -7 5 5 0 -…

A: For given three column vectors we have to find whether they are linearly independent or not.

Q: QUESTION 4 Solve only for x in the following set of simultaneous differential equations by using…

A:

Q: Assume that the matrices below are partitioned conformably for block multiplication. Compute the…

A: Given matrices