Let f(x, y) = 4/x+5/y+ 6x + 7y in the region R where x, y > 0. Explain why must have a global minimum at some point in R (note that R is unbounded---how does this influence your explanation?). Then find the global minimum. minimum =

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: All questions have been solved with explanation. If you have any doubt feel free to ask in comments…

Q: (c) We want to find a three-point formula, [*^* ƒ (x)dx = w₁ f(x1) + w2f (x2) + wzf(xx) + E, -h…

A: Three-Point Formula for a Definite IntegralWe want to find a three-point formula for the definite…

Q: a) Consider the coordinate transformation given by x = 3u+2 v vy 13 ³‚y = 2 u-3 v Compute the…

A: (a) Given transformation is         So Jacobian,Hence absolute value of Jacobian, (b) Here given…

Q: In Problems 15–28  find the general solution of the given higher- order differential equation. 23.…

A:

Q: Aniyah borrowed $82,000, on a 120-day 4% note. After 50 days, Aniyah made an initial payment of…

A:

Q: If f(x, y) = xy, find the gradient vector Vf(3, 7) and use it to find the tangent line to the level…

A: Gradient vector (7,3)Tangent line is 7x+3y=42Explanation:Step 1: Step 2:Step 3:Graph 1 is the…

Q: Prove that this sequence is / is not Cauchy. Χη xn+1 = axn+b 1 + xn

A: Proof is explained in the explanation section.Explanation:Solution:A sequence xn​ is Cauchy if for…

Q: (a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: (a) The function f decreases most rapidly at point x in the direction opposite to the gradient…

Q: Study the maximum and minimum points of the function f defined below:A - f(x,y) = xe -2x 2024 -2y…

A: The objective of the question is to find the maximum and minimum points of the given function f(x,…

Q: 3. Determine if the set Q n (0,1) is open, closed or neither. What is the boundary of the set? Also…

A: 1. Q ∩ (0,1) is neither open nor closed. 2. For the set Q ∩ (0,1), the boundary includes the points…

Q: f(x, y) = x(1+y) and D be the rectangle determined by the inequalities-15x S1 and 2 Sy≤4. Choose a…

A:

Q: Suppose that c¹, c² are both 3 × 1 matrices. Let A = [c¹c²] be augmented matrix with c¹ and c² and…

A: The answers to the given questions are briefly given below , kindly please check.Explanation:

Q: Find and classify all the stationary points of f(x1, x2) = (x² +8x) − 2(x² + x²) +1

A:

Q: 5. Vic has three chicken houses with an average of 23,800 broilers per house. He has broilers in a…

A: The number of broilers per house is :The broilers are available in a house for 7 weeks and the house…

Q: (A) Sketch the graph of the function y = x²+1 x

A:

Q: Please solve and show all work.

A: The matrix [A​I​] is ⎣⎢⎡​12−2​01−4​3−3−3​∣∣∣​100​010​001​⎦⎥⎤​.  The inverse of the given matrix is…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Please see the explanation Explanation:Step 1:

Q: Before using the Gizmo, consider the graph of the absolute value function graphed below. A. How has…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Approximate the volume of the oblique prism below. Round all calculations used in the solution to…

A: We find the area of baseWhich is triangle

Q: The monthly payment for a home loan is given by a function f(P,r,N) where P is the principal (the…

A: In partial differentiation we differentiate function of several variable with respect to a…

Q: ㅠ ⑤Prove that Imz=0, larg 2 - 11 = 1, Z-Z=0, 12-il = 1Z+il are different equations all describing…

A:

Q: (-4)(-5) using number line model

A: The objective of this question is to find the product of -4 and -5 using a number line model. The…

Q: A clothing distributor in Ajax, Ontario sells a designer suit for $1,505 less a discount of 35.00%.…

A: (a) Ajax seller(b) 10.83%Explanation:Note that the discounted price is,SP=LP(1−d)where,SP = selling…

Q: For each of the following linear transformations T, determine whether Tis invertible and justify…

A: A mapping T:V→W from a vector space V to W is invertible iff(a) T is one-one (injective)(b) T is…

Q: By means of a hydraulic lift, an object with a mass of 2250kg is sought to be lifted, placing a mass…

A: It is given that with the help of hydraulic lift, an object with a mass of  kg is sought to be…

Q: What is the row rank of this matrix? 2 -1 3 1 2 15 4

A:

Q: Calculate the flux of the vector field F(x, y, z) = (4x+8) through a disk of radius 6 centered at…

A:

Q: Find the equation of the tangent plane to the surface z = e -4x/17 In(1y) at the point (-3, 4,…

A: Let the surface be z=f(x,y).The equation of the tangent plane at (a,b,f(a,b))…

Q: Find the instantaneous rate of change in the amount in the account after 5 years (in dollars per…

A: Invested amount Rate of interest  compounded continuously.We have to find the instantaneous rate of…

Q: (a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: Fastest decrease occures opposite to gradient .Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Ans 1: (d) Degree of polynomial is 6Ans 2 : (b) Function changes its sign at x =…

Q: Consider the function f(x, y) = 2x² - y²+4x+6y subject to x + 2y = 20 a) Write down the first order…

A: Consider the function  subject to .Let .To find the extreme points of the function  subject to the…

Q: A production lot of 25 units required 103.6 hours of effort. Accounting records show that the first…

A: Answers given belowExplanation:To find the learning rate, we can use the learning curve formula,…

Q: (b) Solve the given initial-value problem kxy' + 2y = cos(kx), y(27) = k. Find a solution in an…

A:

Q: 18. The word problems in the application section of this test required you to make connections…

A: Jobs requiring calculations with formulas:1. Engineering2. Finance and Accounting3. Data Analysis…

Q: Solve the following differential equation. y+y=e", y(0) = 0, y(0) = 1

A:

Q: Mickey Rats tries to find the Laplace Transform of f(t) = sin (4t) using the definition. Here is his…

A:

Q: Determine the root of f(x) = x³- 6x² + 11x - 6.1 with initial value x = 3.5,, perform 3 iterations…

A:

Q: For the DDS given by yn+1 = Ус -0.5y + 30, find the equilibrium value.

A: The equilibrium value for the given DDS is ye = 20.Explanation:The equilibrium value (ye) for the…

Q: Consider an equation of motion given by x+x(t) = e x(0) = 2. 8. Find the (total) response. (A)…

A: The given equation of motion is .We need to find the total response and forced response.We know that…

Q: Find a basis for this vector space. v={( a ||a+2b-d=0 and 3b+d=0} C What is its dimension?

A: The given vector space .The objective is to find the basis of the vector space and its dimension.

Q: Compute the following quantity where In is the natural logarithm function. Round to two decimal…

A:

Q: 3. Prove that 6">5"+9 for any integer n ≥2.

A: To prove that 6n>5n+9 for any integer n≥2, it will use induction.Basis Step:First, will verify…

Q: (a) sec (3+√√x) √x dx

A: The objective of the question is to find the integral of the function sec(3 + sqrt(sqrt(x))) *…

Q: - Suppose that f(x) = x² + 1, g(x) = x² - x and h(x) = x − 1. Then the set of functions {f, g, h} is…

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:

Q: 3. List the first five terms of the following inductively defined sequences. (a) x₁ = 1, (b) y₁ = 2,…

A: The inductive sequences are :List the first five terms for the above inductive sequences

Q: 2. Prove that n(n2 +5) is divisible by 3 for any integer n ≥ 0.

A: We have to prove that  is divisible by  for any integer

Q: Is set H ={[+1] : x any real number a subspace of R²? Explain! 1

A: H is not contain the zero vector so H is not a subspace of R^2Explanation:Step 1:

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), e" + cos(V)). Use…

A: gu(0,0) = (6, 6) gv(0,0) = (4, 0).Explanation:We can calculate gu(0,0) and gv(0,0) using the partial…

Q: Solve the differential equation below using the Laplace transform:

A: The required solution is    y(t)=sintExplanation:Step 1: Given  :…