V. Determine all the relative minimum and maximum values, and saddle points of the function h defined by h(x, y) = x³ – 3x + 3xy?.

Q: 3. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15 +0.1x…

A: We will draw curves and identify area representing consumer and producer surplus . Then will find…

Q: f (t) =-e" sin (21 + 7)

A:

Q: valuate V x F . dS, 4 S here F(x, y, z) = (zy, x²y²z², –yx) and S is the surface of the phere x2 +…

A: Stokes theorem is used

Q: if x = 2 y = 4.3 en

A: given curve dydx=xy13 initial condition y1=2 and step size h=0.5 use improved euler method find the…

Q: Answer the following using Jacobi Method. Show complete solutions. The answer should have atleast 5…

A:

Q: Lukalu is rappelling off a cliff. The parametric equations that describe her horizontal and vertical…

A: Solution

Q: Show that every closed ball in R" is an n-dimensional manifold with Assuming the theorem on the…

A:

Q: If you are asked to apply Euler's method with (xo, yo) = (1, 7) and step size h = 0.5, how many…

A: As here given the initial condition (x0,y0)=(1,7) and h=0.5. And here we calculate for x=3 .…

Q: Solve the system using either of the three direct methods 1. -2y +2z 3 2x – 3y – z = -7 -* + 3y – 3z…

A:

Q: Use The Runge-Kutta Method SoNe the: dy X(I+x), y(0)=3,h20.2

A:

Q: イメ+4 メイメナ) (1+

A:

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: We have to Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in…

Q: vestion 32 ICLO-21 Using the Priority List B, E, A, C, D schedule the project with N=2 processors…

A: Solution :-

Q: Question 4. For the following two graphs, answer the following questions. If your answer is yes,…

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(r,Y, z) = 4.x + 2y + z subject to r² + y…

A:

Q: Determine a possible exponential function E such that E(1) =" 4 and E(2) = 16. © E(x) = 4·16* O E(x)…

A: We will start by taking an exponential function a×bx and then find values of constant a and b

Q: Consi der the lines : = 2 - y = z+1 and l2 : = y - 2 = 1. Determine a direction vectors for the…

A:

Q: 1.0 F7 so for 0<x < 4, for 4 < x < 6. 0. Let S(x) = {6 - a Compute the Fourier sine coefficients for…

A:

Q: 1. Let X={a,b,c} and Y={1,2} then X×Y ={(a,1),(a,2).(b,1).(b,2),(c,1).(c,2)} - Consider U =…

A:

Q: Write a stochastic matrix corresponding to the transition diagram. 0.1 0.2 A B 0,4 The stochastic…

A: Solution :-

Q: Problem 10 (Hyperbolic Functions] (a) For what values of k is lime 3x cosh(kx) finite? X00 sin h(kx)…

A:

Q: LINEAR DIOPHANTINE EQUATIONS 2) Determine the integral solutions for which x and y are positive. 2x…

A:

Q: Consider z as function of the variables x and y , it is defined by : z = In(x®y°) + and P(-1,1) a…

A:

Q: Q2/| By Simpson's rule, find the value of (In) approximatally, dividing the range into (10) equal…

A:

Q: 1) Find all integral solutions of the linear Diophantine equations бх + 11у %3D 41

A: Here we use the euclidean algorithm to solve the Diophantine equation

Q: Q3) y"+2y'-3y 0 y'(0) = 0, y(0) = 1 %3D

A: Solution :-

Q: Suppose quantity of labour demanded is given by Ld and the wage is w. The labour demand function is…

A:

Q: For the convex set C = {(z,9)+ 13 y.0 < 2.0 < y } (a) Which points are vertices of C? (52/9,35/9)…

A:

Q: 1- Study the measurability of the functions:

A: Given  Two functions....we must study the measurability of the functions....where p is not…

Q: The heights of the 430 National Basketball Association players were listed on team rosters at the…

A: We can solve this by using formula of given problem Part a) (x-µ)/ƒ   Part b) (x-µ)/ƒ   Part c) X…

Q: Next question Construct a glide reflection of tiangle ABC using vector v and reection line L Choose…

A: In glide reflection, we need to shift our image in the direction of vector v and then reflect it…

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A:

Q: 9B u- A2- (+4) + (+-2t)k aond V = Sintî + 3e-+ - 30ost e then bind (ůx) at-0 %3D the value ot d?

A:

Q: Unemployed Employed Male 206 412 Female 358 305 A person from this area is chosen at random. Let M…

A: q-5   unemployed  employed total male 206 412 618 female 358 305 663 total 564 717 1281…

Q: Evaluate the integral for the given function and the given subset of R. 1. f(x) = 4 – x²; A =…

A: If [a, b] be a closed and bounded interval. Let f:[a, b]--&gt;R be a continuous bounded function on…

Q: 1 B = -2 -2 ? Why? -1 5. 327 3. :-

A:

Q: ĐUse the Fuler method's solve the: らゃう2び20 (o)1 れ:0r

A: We will use the formula of Euler method which is  yn+1 = yn + hf(xn , yn).  Then we will perform the…

Q: Consider the function g defined by 1 g(x, y) = cos (Tx/y) + log3 (x – y) Calculate the instantaneous…

A: Instantaneous rate of change (Directional derivative )  of a function f(x,y,) in the direction of…

Q: School fees at a certain school are due at the beginning of the year. The fees are set at R12000 for…

A: Solution:-

Q: see the part I was missing was shifting the index from n=1 to n=0, so that it is possible to create…

A: You may find my method more appealing and easier. Please look into it

Q: Let D be solid hemisphere x² + y² +:? < 1, : 2 0. The density function is 8 = :. We will tell you…

A:

Q: I. For the following items, consider the function f(x,y) = 9x² +16y² А. Determine the domain and…

A: Solution :-

Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

A:

Q: For the given triple integral, which of the following is the transformed integral in the spherical…

A:

Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F =…

A:

Q: You have $2,500 on a credit card that charges a 14% interest rate. If you want to pay off the credit…

A:

Q: ĐUse the improved Method Sove the: 5.52ダー0 0-2

A: To find the solution of a given differential equation by improved Euler's method we will use the…

Q: 1.)Determine whether the Fourier series of the following functions converge uniformly or not. a.…

A:

Q: Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x, y, ±) = In (æ) + =, In…

A:

Q: L-1{- (s²–4s+13.

A: