Find the first partial derivatives of the function f(x, y) = 1. fx(x, y) 2. fy(x, y) = = 5x (x + y)²

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Q: T (a) F(t)=(cost+tsint)i + (sint-t cost)j for 0≤t≤2

A: As per the guidelines I can solve only first question

Q: ху lim (x,y) →(0,0) x² + y² x²y lim 2 (x,y)→(0,0) x4 + y²

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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Q: 3. (b) Identify the curve by transforming the given polar equation to rectangular equations. r = 6 3…

A: (b) The polar equation is given as , r=63cosθ+2sinθ          .....1 Identify the curve by…

Q: Write an equation for a rational function with: Vertical asymptotes at x = 2 and x = 5 x-intercepts…

A: Given:Vertical asymptotes:  x=2   and  x=5x-intercept:  (-2, 0)  and  (1, 0)y-intercept:  (0, 5)

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Q: (c) x³ - y³ lim (x,y)→(1,1) X-y

A: C) lim(x,y)-(1,1) (x3-y3)/(x-y) D) lim(x,y)-(0,0) (x-y-x6)/(sqrt(x-y)-x3).

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Q: 6. [0/0.02 Points] DETAILS MY NOTES X = ASK YOUR TEACHER PREVIOUS ANSWERS Solve the equation. (Enter…

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Q: 3. f cos¹ 20d0

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Q: 4. I dr 2r + 1 r-1

A: NOTE: Refresh your page if you can't see any equations. . here we can write  1=-2+3

Q: Problem 6. Find two numbers x and y such that their difference x - y is 50 and their product ry is…

A: The given two numbers are x and y such that:x-y=50

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Q: The rectangular coordinates of a point are given. Plot the point. (-2√/2, -2√//2) -4 (r, 0) = y 5x 4…

A: Given rectangular coordinates of the point is -22, 22 For a point (x, y),  r=x2+y2 where…

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A: To determine the derivative of the given function at the specified point.

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A: The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. If the…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: Find three angles which are coterminal to -575°.

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Q: 32. √ ₁²+2x-3d²

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Q: (x - 2)² 22 2. Find (algebraically) the absolute maximum and minimum values of f(r): interval (0,…

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Q: 2. Evaluate the integrals using area formulas: (a) (b) 10 9-(x-7)² dx (10-2 (10-2|x) dx

A: Given is the question of definite integral.

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x a = b =

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