Čonsider the following nonlinear programming problem Maximize Z = 36x, +9x¡ – 6x¡ + 36x, – 3x X, +x, <3 x, 2 0, x, 20 subject to and Determine whether (x,,x,)= (1,2) can be optimal by applying the KKT conditions.

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A: Given query is to setup the integral for the length of the curve.

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A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

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A: The detailed solution is given below Thank you 

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A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

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A: topic - coordinate geometry

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A: topic - differential equation

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A: Indefinite integral

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Q: Function f(x, y) = 7x – 8y + 2xy – x² + y° -

A: we need to find the extreme points of f(x,y)=7x-8y+2xy-x2+y3  

Q: Evaluate each of the following integrals. 1. S cos5 x Vsin x dx 2. S sin* 3x dx

A: Let ,I=∫cos5xsinx3dx⇒I=∫cos2x2.cosxsinx3dxWe know that , cos2x=1-sin2(x)I=∫1-sin2x2.cosx.sinx3dxPut ...

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Q: Below is the function f(x). 7+ -7 -6 -5 -4 -3 -2 1 4 -4 -5 -6 Over which interval of æ values is f' ...

A: This question is based on derivative application of function.

Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

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Q: Calculus Question

A: Perform integration

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A: Given ∫x3+3x2+4x+1(x2+2x+2)2dxPerform partial fraction decomposition=∫x+1x2+2x+2dx-∫1x2+2x+2dxNow so...

Q: Q1:A/ Find the absolute maximum and minimum values of f(x) on the given interval. and local points I...

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Q: S sinrdr In(cosr – 3) ° cosr -3

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Q: a*dy= +C Ina A True (B) False

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A: We have to set up an integral for the volume of solid integral.

Q: II. Use sigma notation to write the Maclaurin's series for the function f(x) x COSX. Show complete s...

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Q: Integration is the reverse process of differentiation.

A: Given,            Integration is the reverse process of differentiation.To find : State true or fals...

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Q: Find the series' interval of convergence and, within this interval, the sum of the series as a funct...

A: Find your answer below 

Q: Identify the correct u (secx – 2) $dx cosx cotx A cosx cotx B secx - 2 (c) (secx – 2)5 D None

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A: Given; A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec.

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the ...

A: Topic:- application of derivatives

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² sub...

A: Let's find. 

Q: 3. Ek=1 00 en n"

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Q: Evaluate: thr (,5_ 3) ² dr A 2(r-3) 3 B +C 3 2(,5– 3) ? +C 15 4nr D 4.

A: This question is based on Indefinite Integral.

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Q: tan(tan 3x)dx cos? 3xl

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Q: Q2: Use Cramer's Rule to solve the system:- 4x – y + z = -5 2x + 2y + 3z = 10 5x – 2y + 6z = 1

A: Given,            The system of equations are             4x-y+z=-5             2x+2y+3z=10         ...

Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3...

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Q: Question Select multiple answers and then press Answer. p(x), r b f(x) is continuous on (-00, a) and...

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Q: Given the differential equation y" - 5y' = 8x² + 5 sin(3x) Determine the differential operator for t...

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Q: Changing the catesian to polar coordinate.

A: