Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maximize: f(x, y, z) = xyz Constraint: x + y + z - 12 = 0 |) =

Q: Example 15. Given the function { if x 1, ax + 1, f(x) = find the real constants a and b such that…

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Q: Find the eutre me points of the Following Function. 3 12

A: Given function is Fx,y=x3−12xy+8y3. We have to find the extremes points of the given function.…

Q: Question 7 Let T be a linear transformation given by 2 1 0 1 T Is T one to one? Is T onto?

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Q: sina cosa sin(a + 8) Without expanding, evaluate the determinant sin B cos B sin(ß+ 8) sin(y +8)…

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Q: 19 Find the Inverse Laplace Transform of H (s) %3D s+2 + 3s – 5 A) h(t) = 19e-2 3 - -e +- 5t 1 = 19e…

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Q: ) Isinx-sinyls lx-y!

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Q: The linear Diophantine equation 256x + 478y = 9 has no solution. True False

A: True or False

Q: Due to a revolution in Kitty Nation, the new dictator Pablo has implemented a new standard for…

A: i) if 10 lenthii = 36 inches implies, 1 inches = 1036 lenthii and  3 gianthii = 354.0 lenthii…

Q: is transformed to the diagonal form D= 1"'AT, where h b The matrix A= %3D cos 0 sin0 T= -sin 0 cos0…

A: Given matrix is A=ahhb and diagonal matrix is D=T-1AT where T=cosθsinθ-sinθcosθ Now…

Q: 2 Use deductive reasoning to show that the following produces always the original number increased…

A: Pick a number  Let the  number be x  Multiply it by 4 Therefore it will be 4x

Q: (B) Use interval notation to indicate the interval or union of intervals where A(x) is increasing…

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Q: 3) s) Determine the highest real root of f(x) =3x a) Graphically, b) Fixed-point iteration method…

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Q: X' = 1 X;X(0)= %3D

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Q: Gauss Jordan Elimination 3x + 4y + 2z = 1 x + 2y + 3z = 4 2x + 3y + z = 4 use explanation

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Q: Prove that F (3.x)(A → B) → (Vx)A → (3x)B. 3.

A: To prove: ⊢∃xA→B→∀xA→∃xB

Q: What method of solving for the volume if the solid of revolution is obtained by rotating the region…

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Q: Use the differential equation udv + (v + wv - ue ue")du = 0 (where the independent variable is u) to…

A: We have given question is related to differential equations.

Q: Compute the double integral nx' ydA over the domain D indicated as 0 < x < 3, x < y < 4x +2. (Use…

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Q: A bounded function f: A R is integrable if and only if for every e > 0 there is a partition P of A…

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Q: Find the solution. (D4 + 18D² + 81)y = 0 A y = (c, + cx)e²"cos3x + (c,+cx)e²"sin3x. B y = (c, + cz*)…

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Q: 6 4 Find the Inverse Transform of F (s) = s s-8 s- 3 A f(t) =6+e-8t – 4e ³ B f(1) = -6+e + 4e ¬3« C…

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Q: Determine whether the given specification is consistent or not. 1. The student either has…

A: (a) Let us define few linguistic symbols as below:       U : the student has UG courses       P :…

Q: Let X have pdf f(x) = e-X /(1+ e -X)2 −∞< x < ∞ Show that Y = 1/(1+ e -X)has the uniform…

A: The complete solution is in given below

Q: sina cos α sin (α + δ)| . Without expanding, evaluate the determinant sin ß cos B sin(B + 8) sin(y…

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Q: Find the first file terms of the following sequence bn=(-1) n(4n-4)

A: To determine: first five terms. Given: bn=(-1)n(4n-4)

Q: Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. @ y(x)…

A: We find the general solution of given DE  y"+y'=-cos(x)........(1)

Q: 1. Consider the initial value problem, 2y 3y2 1<t<2, (la) y(1) = 1. (1b) The exact solution to (1)…

A: The complete solution is in given below

Q: Let x and y be two independent N(0, 1) random variables and Z = 1+ X + XY², W = 1+ X. Find Coy(7,W).

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Q: Prove A prime is irreducible but not conversely.

A: suppose that a is a prime in an integral domain and a=bc. we must show that b or c is a unit. by the…

Q: Problem No.2 Let A= 1 -1 and B= 1 a) Find the product AB b) Show that A3 = 4A 5 -1 1 3 1

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Q: 2. Fill in the blanks Let y(x) be the solution of the initial value problem: y" – 4y' + 4y = 0, y(0)…

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Q: Find the solution. y'= cscx + ycotx A) y = csiny - cosx B) x = csiny - cosx C) y = csinx - cosx D x…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: Ms. Rowel would like to buy a house costing $190000. She is required to make a down payment equal to…

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Q: What is formula of quadratic equation?

A: We have to write the formula of quadratic equation. Definition of the quadratic equation:- The…

Q: If f(x)= Jx and g(x)= 2x+5, then state the domain of (gof \x).

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Q: Sin 2Tx = Tycos 210 メ

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Q: 10. If C(n, r) = 35, which of the following are possible values of n and r? * n= 6, r=4 n= 7, r=3 n=…

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Q: Three invoices for the amounts of $34,200, $25,000, and $41,450 were received on November 27, 2014,…

A: 3/7 means a 3% discount if paid within seven days after the date of invoice.  2/30 means a 2%…

Q: By listing the elements as ordered pairs, define a relation on the set A = {e, 2, 7, ♡} which is:…

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Q: nductio

A: Wave equation: We  know that wave equation: uff=uxx...(1)

Q: 7. Determine a" where a > 0 and n is an integer. Check the result by finding 4/3.

A: Solution 7: Given a1n, here a&gt;0 and n is an integer. So, let x=a1n⇒xn=a⇒xn-a=0 Let f(x)=xn-a By…

Q: (10) Consider a Markov chain with transition matrix a C d a /0 1/2 0 1/2) b1 P = C 1 d \o 1 Identify…

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Q: A town's population has been growing linearly. In 2003 the population was 68,000. The population has…

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Q: Paul had 4/5 of a quart of milk. He used 3/4 of it for a milk shake. What part of a quart of milk…

A: Given information Paul had 45 of a quart of milk. And he used 34 of that to make milk shake. We have…

Q: 32

A: As per our guidelines, we are supposed to answer only the first question. Here question 32 is…

Q: The critical points of fr(x.y) x +2y-4y subject to the x + y 9 is (0, ±1), (±2,1) (0, ±2), ( ±V3,2)…

A: Given function is fx,y=x2+2y2−4y and x2+y2=9. We have to find the critical point of the function…

Q: Question 2 Consider the following IVP: y"-2y'= -4; y(0) = 0, y'(0) = 4

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Q: y'= 1 + 3ytanx A 3y cot³x=ctanx+3sinx – sin³x B 3y tan?x=c+3sinx – cos?x © 3y cos?x=c+ 3sinx – sin³x…

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Q: 5. Mark each statement as true (T) or false (F). No justification is needed. Assume that Cnx"…

A: Given the series is converges for x = 5 and diverges for x = 7

Q: (b) If f and g are continuous functions on [a, b] and f> S, g for every interval [a, B] g(x) on [a,…

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