(a) Interpret the point (1,2) in the context of the situation. North (1,2) East (6,-0.9) for the boundary of the lake and then evaluate dx dy at the point (1, 2). dx dy (b) Find

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A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

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A: Given that  (x + 2)2 − 6(2y + 3)2 = 3 Differentiating with respect to x

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A: We will solve given integral.

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

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Q: Use this equation to find dy/dx. 5y cos(x) = x2 + y2 %3D dy dx %3D

A: We have, Here, we'll take derivative on both side and then isolate the dy/dx.   It is known that,

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Q: Find dy/dx and d2y/dx2 without eliminating the parameter. x=1-t^(2), y=1+t

A: x=1-t2,  y=1+t Differentiating with respect to t, we get dxdt=0-2t  &  dydt=0+1⇒dxdt=-2t  &…

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Q: dx using miscellaneous substitution will yield to secx + 1 nsforming - S 1+2 / dz √²-22² dz 1+z²…

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Q: Can i get help step by step please

A: Find the product rule of derivation and find dy/dx,

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A: It is implicit  derivative.

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A: Explanation and solutions is given below.....

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A: Topic = Derivative

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Q: 94. Find dy/dx if y - 2 by using the Chain Rule with y as a com- position of a. y- u' and - V b. y -…

A: a) Given y=x32 The chain rule state that dydx=dydu·dudx

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Q: Find dy/dx for the curve x2y3 - 2xy = 6x2 + 2y3 +1

A: The given curve,    x2y3-2xy=6x2+2y3+1

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A: Given : The graph of 2 curves x = y2 - 8 and x = 2y   To find : Setup integral to find out the…

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A: The detailed solution is given below Thank you

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Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

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Q: find dx 20. 19. 0 do 21. 22. dy -2x sin 2x dx cos 3x dx 23. 24.

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Q: Obtain the general solution to the equation. 3. dx - (у — 2ху)dy

A: Topic - differential Equation

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A: The main objective to calculate the derivative of the function xy3-3y2+xy=1-3x.

Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

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

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Q: y = sec(3 - z) dy Find da dy dx

A: →Use chain rule of differentiation.

Q: 2 What is /- dx? oJ-dx = -sin-x+ C %3D /I-x² • /-dx = 2sinx+ C %3D dx = -2cos-x+ C %3D oS- dx =…

A: We will solve the given integral.Below find the solution in image.

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Q: B The equation of a curve is y = cotx - 8 cos x, 0<x< π, find the coordinates of the points on the…

A: If the equation of the curve is given y=f(x)  Then we find dy/dx and then equating to 0 we get the…