Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x – 2y subject to the constraint x² + 2y? = 72, if such values exist. maximum = minimum = (For either value, enter DNE if there is no such value.)

Q: x² Q 1 S ;dx (x sin x+cos x)2

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Eliminate c, x?y = 1 + Cx A (2+x²y)dx + xdy = 0 B B (1+x³y)dx + x²dy = 0 © (1+x?y)dx + x³dy = 0 D (1...

A: Using the quotient rule of derivative, it can be written that: fg'=f '·g-g'·fg2.

Q: Find the LCM:24x and 8x"-16x

A:

Q: 1. Choose a number and apply the following operations to it. Multiply the number by 6, and subtract ...

A:

Q: State the order of the given ordinary differential equation. d³y dy 4 + y = 0 dx dx3 Determine wheth...

A:

Q: A committee has 20 people. In how many ways can a President, Vice-President, and Secretary be chosen...

A:

Q: Solve the D.E. 3(3x? + y²) dx - 2xy dy = 0 (A x= c(x² + 9y²) B x= c(x2 + 3y3) © x = c(9x² + y²) D x ...

A:

Q: 3-2 6x x-7

A:

Q: 15. Let {fn} be a sequence on C([a, b]). Assume that fn (x) 2 fn+1(x) for all x E [a, b]. Show that ...

A:

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x2 + 2y2 + 2z2-2xy-2xz- 2yz, ...

A: We have to find the quadratic form of the equation Q=2x2+2y2+2z2-2xy-2xz-2yz which is a polynomial i...

Q: A company wants to plan production for the ensuing year so as to minimize the combined cost of prod...

A: We will solve this linear programming problem using excel solver. below excel screen print show the ...

Q: Simplify the following expressions: 2 In vē In(e-x²-y²) In(In e*)

A: If y=ax, then logay=x, where a is called the base of the Logarithm. The Logarithm with base e is cal...

Q: symmetric matrices with repeat

A: Given,           110010001

Q: e slope

A: Introduction: The formula for the slope of the line passing from two points x1,y1 and (x2,y2) is giv...

Q: Let f(u, v) be a differentiable function with f(0, 2) = 0, fu (0, 2) = 2 and f. (0, 2) = -3, g(z, y)...

A: Given fu,v is a differentiable function with f0,2=0, fu0,2=2 and fv0,2=−3. And given gx,y=fx2y+x,3x−...

Q: 1. Let the set A = {1,2, 3, 4, 6, 8, 12, 24) be partially ordered by the relation ab. Illustrate the...

A: As per our guidelines we are supposed to answer only first one. Kindly repost other parts in the nex...

Q: 4. All are examples of propositions except x +7 = - 3, if x = 12 x +7 = -3 x + y = y + x, for every ...

A: We have to find from given options which is not a proposition.

Q: 12 Solve the boundary-value problem du 0 0 at + sin x %3D u(0, ) = 400, u(T, t) = 200, r>0 u(x, 0) =...

A:  

Q: Solve the following differential equations : dy Vi-y? dx = tan y dy Ans. x cos y = C Ans. sin- y = s...

A: In this question, the concept of a differential equation is applied. Differential Equation A differe...

Q: 3 4 6 C3 C5 C4 C5 C3 C4 C2 C1

A: Given timetable as, As per rule, allowed to answer first three subparts and post the remaining in t...

Q: Write the differential equation and then determine whether you have overdamped,critically damped,or ...

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is md2x...

Q: Find the volume of the figure below. 15 yd 12 yd 15 yd cubic yards

A: Here the base is a right angle triangle whose legs are 12 and 15 yards. The height of the base from ...

Q: n(n+1)(2n+1) 2. Prove the following using induction: 1+ 4+ 9+ · ..+n² 6

A:

Q: Using Laplace Transform, solve the following differential equation " -9y = ebt, y(0) = 0, y' (0) = –...

A: Here we have, y''-9y=e-5t    and     y(0)=0,  y'(0)=-2   Basic rules of Laplace are, L{ea·t}=1s-a,  ...

Q: H.W (1) Find Laplace transform for the following function; 1-f (t)=t sin at 2-f (t) =t coshat 4-f (t...

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...

Q: If f(z) = eV8 2' then the simplify form of f(z) is: %3D A) f(z) = i e-2VZ %3D B) f(z) = -i e²vZ C) f...

A: given fz=e8-π2i simplify form of fz is? solution it is known that  eiθ=cosθ+isinθ thus e-π2i=cos-π2+...

Q: 2x- 7x + 31x – 45x + 46 2x – 7x + 11x – 10

A: Given integration is ∫2x2-7x3+31x2-45x+462x3-7x2+11x-10dx We can simplify as 2x4-7x3+31x2-45x+462x3-...

Q: Considerthreemappingsα,β,γ:Z→Zdefined by α(n)=2n−1, β(n)=(n−1)^2, γ(n)=(n−1)^3

A:

Q: Which of the following is the correct value of the dot product for the vectors: u→=(6,−2,5) and v→=...

A:

Q: Q3) Consider the DE y' = (3x + y + 5)², y(0) = 1 i) Solve it numerically using Euler's method (n=4) ...

A: Introduction: When we solve a first-order initial value problem numerically, we follow different ite...

Q: 10. This problem shows how a surge can be modeled with a difference of exponential decay functions. ...

A:

Q: Determine the Fourier Series of the given function. 1. f (г) — х; —1 <х <1

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: reply. Please type

A: The given formula is re-written as,

Q: Peter measures his new empty swimming pool and estimates that it has a volume of 3,400 cubic feet. H...

A:

Q: If F(x) is a differentiable function with derivative F'(x)= Enx"-1 and F(0)=0, then F n=2 x2-x O 1-x...

A: Introduction: For a differentiable function fx, if f'x is given, then integrating both sides, fx can...

Q: 1. There are eight different ice-cream flavors in the ice-cream shop. (a) In how many ways can we ch...

A:

Q: Problem I. Given z, = 3el(76) z2 = 2e(T/4), find: %3D

A:

Q: y-5y't 4y =O x10)-5 y'l0)=2

A: We have to find the particular solution of the initial value problem                            y''-...

Q: Factor 50x + 90y. Write your answer as a product with a whole number greater than 1. Submit

A: To Factor 50x + 90y :-

Q: Find all the roots of z = 1

A:

Q: HOW DIDHEGETTHE VALUE INSIDE THE CIRCLE AND THE ORDER OF THE STEPSAFTERIT? <). (2 +bz) 2. dz Sol Let...

A:

Q: 3ely)dx +3e dy = 0 y

A: In this question, the concept of a Differential equation is applied. Differential Equation A differe...

Q: Consider the following loan. Complete parts (a)-(c) below. An individual borrowed $90,000 at an APR ...

A:

Q: If a curve f(x) has dx dy = (y – 1)2(2+ x) and passes through the point (-1,2), then what is the equ...

A:

Q: The monthly rent for the first house is S1, 190, and the Bainters can expect it to increase 1.7% eve...

A:

Q: 1. Solve the differential equation (4x*y² - 6x°y – 2x – 3)dx + (2x*y-2x³)dy=0

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: It is known that f(x) = sin(x). Estimate f'(0.6) and f''(0.6) using the 3-point central formula with...

A: Given fx=sinx and h=1 and h=0.5

Q: How many roots of the given polynomial? 2 -6 -4 -2 -2 3 -2 1 2.

A: Consider the given figure. Definition of the root:- The roots are the points where the function cro...

Q: Use the second fundamental theorem calculus along with the chain rule to find sint dt dx sinx 2x sin...

A: The solution of this question is in the image below-

Q: 3) Simplify the expression. State what value(s) of the variable must be excluded from the answer.

A: The function in the form a0xn+a1n-1+···+an is called an algebraic function. The expression in the fo...