d: R²x R² → R+ d (x, y) = ; { { min {11/2₂-2₂1, 1} if x₁ = 7₁ 1 otherwise x= (x₁, x₂), y = (y₁ Y₂) ER² thought when x not to y then it is 1? why is it that (x,y) = (y,x) can you explain y2 is not the same as x2 Pf 2₁ = y₁ => • If 24. +3₁ = so why is the min the same? min| y2-x2 != min| x2-y2 | ii) Symmetry: x = (14₁, x₂) ER², y = (2₂m₂) = R² d (x,y) = 1 = d (₁²2) 1 (kin) = min | 132-2₂111} - min {1x2₂-2₂1, 1} = d(y, 2) :: d (x,y) = d (3, ²) + X,YER² Satisfied

Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

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Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

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Q: 3) A)-V2-a-2 3a.) (r)D 3b.) N(-2)-2 3c.) fxth)-f(x) 12-x+h) =D72-(x) (Jz-Cth)+

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Q: 2. If f(x)=x² -15 and g(x)= 2x+11, a) find (f °g)(2). b) find (gºg)(-6). c) (g•f)(x).

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Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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Q: An object moves along the a-axis, its position at each time t > 0 is given by æ(t) = t" 3 4 +t.…

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Q: Q/IF it was AY ₁2) = -12 Y(2) ℗ Y³ (2) = − 12 ⒸY² (2) = -11 Y³ (2) = -11 DÝ (2) = -13 © ²³ (2) = -13…

A: Given

Q: f(x,y)= eaxy fxx = eaxy ·(24) ²₂ fxy = e² fyy = eaxy. (2x)² fyx = -2xy. 24 axy, fx = e fy= e 2xy.…

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Q: for Q4\ Find fo dx 1) y = (x cot 2x) 2)x+4x√√y-5-3

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Q: graph of (x) = x' - 2 is shown in the figure. Find 6 such that if0 2 ]x - 4] 2 8, then IAX) - A. ô =…

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Q: 3. x = 1-5t and y -t+ 3 for 2 < t<6 %3D y (x,y) Domain:

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Q: Find the value of fa and fy at (1, -1) when 4 f(x,y) =+5x²+3y². xy 1. 1- = 9, f = = -7 2 2. f= = =…

A: use partial differentiation for finding the solution.

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). P(C) = 21²1 - 48 + ²P²H 2³k r(t) 3 (a) r(t) 3it…

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Q: Find the value of fææ + fyy at (1, –1) when 3 + x² + 2y?. xy f(x, y) 1. (frr + fyy)- -7 |(1,–1) 2.…

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Q: (3 da + dy = 0, y(-1) = 2. (y-2x) ry? %3D %3D 3.

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Q: The function u(x, y) obeys, 8²u Ərəy = -2e

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Q: f(x) = 2/1/2 and g(x)=3x+1, find the following: b) (gof)(x) 8. Let f(x)= a) (fog)(x) c) (fof)(x) d)…

A: according to bartleby guide line we do only first part of multiple questions given  f(x)=1x2  and…

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A: Given that  f(x)=5x-2 Find f(4a+1)

Q: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

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Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

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Q: 47. Show that y = x³ + 3x + 1 satisfies y"" + xy" - 2y = 0.

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Q: F(f)= 2 x-3 4x+1 a Find the dom F and dom F b-) Find ran F and ran F'

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A: Find S'(t)?

Q: 3. P'(-5.-3) is the image of P after a transla along the rule (x,y) → (x+2, y-1). What the…

A: P'=(-5,-3)translation rule is (x,y)→(x+2,y-1)let point P is (x,y)

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Q: ue the differntial equahion 95. X-

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Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

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Q: Find the value. 11) If F(x, y) = -9x+4y, find Fx(-4,-9) and Fy(-4,-4), xy A) Ex(-4,-9) = 1,…

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Q: (x² + 1)ª (2.x + 1)3(3x – 1)5 y =

A: Simple differentiation problem....

Q: B/ If Ø = (x³y²z) and A = 2xzi - 3y2j+ 3xy²k Find a(A) at ду дх the point (2, -1, 3)?

A: When partial derivative is done with respect a specific variable, then other variables are treated…