Where is the function f(r,y) = x² + xy + y? %3D continuous? Enter 99 when done.

Q: Find the most general antiderivative of the function. f(x) = 3ex + 4 sec2 x

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Q: Iベ+g2 Let f(x y) s (x,y) = (0, 0) . ノ Is f Continuous at 10,0) ? why ?

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Q: dy If F(x.y) = 0 and y is a differentiable function of x, explain how to find dx

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Q: Differentiate the function. y = V 3x2 + 8x + 1 dy dx

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Q: f(x) = xe (1+e*)

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Q: Let f (x, y) = xy2 + 5. Evaluate df/dy at (x, y) = (2, -1) and interpret your result.

A: Given: f (x, y) = xy2 + 5.

Q: Find for the following functions: - dx 1- y = (Inx. Vsin x) 2- f(x) = xcos2x

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Q: Fnd the domain of continuity of flay) (a.y)#l0,0) ; (xy)=l0,0).

A: 3x2yx2+y2; x,y≠(0,0)                             f(x,y) =                    0…

Q: Find the linear approximation of the function f (x, y) y- 1 at (0,0) x + 1

A: We are given fx, y=y-1x+1. Here, we need to find linear approximation at (0, 0). Now, fx=∂∂…

Q: Differentiate the function. y = 7x dy %3D

A: It is derivative problem.

Q: SS()dt =x arctan x

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Q: Find dydx? for f(x, y) = eXy

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Q: Groph of f(x)= (x² Is there a Is f differentiable at X=o? Justify %3D sharp Corner at X=O ?

A: Consider the given graph. fx=x2+0.0001 Now, draw the graph.

Q: Show that the function y(x, dy/at = a2y/ar2 = dy/ax = %3D %3!

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

Q: If the continuous RV X has pdf f(x) = (x + 1), in – 1 < x < 2 and 0, %3D elsewhere, find the pdf of…

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Q: Using the linear approximation of f (x, y) near (x, y) = (1, 0) tells us that f (0.98, 0.05) is…

A: The linear approximation of a function f(x, y) at (a, b) is L(x, y) = f(a, b) + fx(a, b)(x − a) +…

Q: Let y=x^2 + y^2= 100. If dx/ft=2, find dy/dt where x=6 and y=8

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Q: Find fr, fy and fz. f(x, y, z) = x – Vy² + z? |

A: Given f(x,y,z)=x-y2+z2. The objective is to find fx,fy and fz.

Q: Find fyry. f (x, y) - = x"y" – 9x°y + x f yry %3D

A: Partial derivatives are calculated with respect to y then x and again with respect to y.

Q: x²y- ry f(x, y) is continuous at (1, 1). x- y+1

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Q: Find fr and fy- f(x, y) = 7e dt f-(x, y) = f,(x, y) =

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Q: f(0) = 2e0 + sec20

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Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2.

Q: Find fr and fy- f (x, y) = 4etlo dt f#(x, y) f„(x, y) =|

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Q: of find 4x + 9y of and dy For the function f(x,y) = %3D of dx ||

A: We can answer this question as below

Q: s continuous on la,b), then d f(x)dx = f(x) dx A) True B) False

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Q: Assume that x and y are differentiable functions of t. Find  dx/dt given that x= -3 , y= -2 , and…

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Q: y=Va

A: The given equation is, y=x+x23

Q: Find an antiderivative F(x) of f(x) = 7x – Vx.

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Q: Find fy (X,y) if f(x,y) = (x° + y°)°. ху Exy(x.y) =

A: Topic: differentiation

Q: Let f(r, y) be a continuous

A: Introduction: A global extremum, also known as an absolute extremum, is the lowest or highest point…

Q: Find a continuous solution satisfying dy dx + 2xy = f(x) where { x if 0 < x < 1 romer 0 if x ≥ 1 ,…

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Q: Find fyy for f(x, y) = e* In(y).

A: The given function is fx,y=exlny.

Q: find the integration of f x'e* dx

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Q: dy Find for the following functions: - dx 1- y = (Inx. Vsin x) 2- f(x) = xcos2x

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Q: (d) The function x²+y? Vx2+y? (x, y) # (0,0) f(x, y) (x, y) = (0,0) is continuous at (0,0).

A: Note: according to Bartleby policy we are allowed to write only one question please post remaining…

Q: b) f(x): 1 + sec2

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Q: w(x) = |x + 1| m at x = 1 Select the correct response: Continuous Continuous

A: For continuous function LHL is equal to RHL and function values same

Q: Is 2xy x++y2 (xy) = (0,0) fle.y) = (xy) = (0,0) continuous at (0,0) ?

A: Here f(x,y)=2x2yx4+y2    , (x,y)≠(0,0)     0           , (x,y)=(0,0)For continuity,…

Q: Find an antiderivative F(x) of f(x) = 5x – Va. F(æ) =|

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Q: (d) The function x²+y? Vx²+y? (x, y) ± (0,0) f(x, y) = (x, y) = (0,0) is continuous at (0,0).

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

Q: Suppose F(x, y) = 0 and y is a differentiable function of x. Explain how to find dy/dx.

A: It is given that F(x, y) = 0 and y is a differentiable function of x . For the function F(x, y) = 0…

Q: Differentiate the function. y=[(sx +2x+3) (x-3)]² dy dx II

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Q: Consider the function f(x) = 4x° + 7x® – 9z³ – 10. %3D Enter the general antiderivative of f(æ)

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Q: Find f and fy- f (x, y) = 9e dt f (x, y) = %3D fy(x, y) =

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Q: (x+6)dx (x+2)?

A: To evaluate: ∫x+6(x+2)2dx

Q: find the extrema for f(x,y)= x^3 +y^3 -6xy

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Q: Find the extrema of the function f (r, y) = y(x² + (In y)²), y > 0.

A: Second derivative test of two variable  function is Da,b=fxxa,b×fyya,b-fxya,b Then  If Da,b&lt;0,…