Osing lagrange s method, find the maximum co minimum Value a =x²ty'4 z² subjet to te condition an° thy? + cz?-1 and utmy anz=o tby 2. 2 +cz²=I and tn2=0.

Q: The curve y = x² + 4 is rotated one revolution about the x-axis between the limits x = 1 and x = 4.…

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

Q: If a(t) = e'i – e-tj+4e²'k, v(0) = -i+4j, and r(0) = 3i+j+2k, find r(t). %3D

A: Given

Q: In model M/M/ s=4 / FCFS/0/00, with X= 3, and μ = 10 the P(j 2 s) is? O a. Pj2s) = 0.03

A: From the above given data the following solution is provided below:Given data:       M/M/s =4/…

Q: Please don't provide handwritten solution ....

A: The given equation is a mathematical representation of heat transfer in a certain system. Here, Q…

Q: (5* )csch x²+1 dy if Find dx 1. (a) y = x >0. (ecosh 5x) In Vx +1 )

A: Find your answer below

Q: 9. Jesse was riding her bicycle and ran over a nail. At this point, a stopwatch starts timing. The…

A: If height denoted by cosine function  ht= a cos bt +c +d  a is amplitude  2πb is period  c is phase…

Q: 4. Solve the following equation by backward Euler's method and also trapezoidal method : y'(t)…

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Q: 4.) Solve by separation of variables: x' = x cost where x(0) = 1.

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Q: Solve: (16 y – 24a? y4) dæ = (32x³ y³ – 20x*yA – 6 sin 2y) dy - O 7x* y% – 5æ°y – 3 cos 2y = C - O…

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Q: Determine y. y = 1-CD52x 1+ cos2x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: Exact Differe ntial Equation: x(3xy – 4y +6 kdx + (x² – 6x²y² -1\ty=0

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Q: sinh x – 1 dx cosh x

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Q: y" y = sin² x. -

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Q: 4. y" +9y = tan 3x

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

Q: 1. Apply the Trapezoid method to the ODE x' = -x + t/x for two steps with x(0) = 1 and h = 1/4. Show…

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Q: Given: (2xsinycosy-x+2x2eyx^2)dy=(y-sin2y-4xyeyx^2)dx Show the complete and detailed solution of…

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Q: Find the values of a and b that make following D. E is exact ( - 4) dx + (xyo + 1) dy = 0 x2+2

A: Remark: A differential equation of the form M(x,y) dx + N(x,y) dy = 0 is exact if and only if dM/dy…

Q: Hanging cable. In a vertical xy-plane, the governing ODE of curve y(x) of a cable hanging between…

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Q: What is the solution of D.E (D² – 2D)y = e* sinx when solved using the method of undetermined y = C1…

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Q: • y = sec¯1 x if and only if_ ,where |x| and < ys 2°

A: Solution:- y=sec-1x means, x=sec y where x≥1 and 0≤y≤π,y≠π2

Q: prave that. OSinh 3x = 3 Sinhx + +4Sinh'x e tanh zx - 2 tan hx x4 %3D +tanh'x

A: Question 1,Given,          sinh3x=3sinhx+4sinh3x

Q: 8. The frame of the dome in the diagram below must be covered in canvas. The dome is shaped by…

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Q: 2ä + 2i + x =1 with x(0) = 0 and ¿(0) = 2 Answer: x(t) = 1+ 3e-0.5t sin 0.5t – e-0.5t cos 0.5t

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Q: Use Newton Method to locate the minimum of: f(x) = x² + e=* + (4x + x²)² – 2 %3D Using an initial…

A: To determine the minimum value of the function fx, solve the equation f'x=0 for x. Let f'x=gx To…

Q: 10 % Find the absolute minimum and ab- solute maximum of y = cos²t-cost on the Cos? 2T interval [0,…

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Q: solve by integrating factor by inspection  ( sin y- y sin x)dx+(cos x+x cosy)dy=0

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