3x +2y find 6xy- 7 ah and ду For the function h(x,y)= ah ду

Q: Find the largest domain (in R²) for the function 1+ Vx + /y x2 + y2 f (x, y) :

A: Given that, fx,y=1+x+yx2+y2 To determine, the largest domain in ℝ2 for fx,y

Q: j Find y as a function of æ if a?y" – 9xy' + 25y = xº, (1) — 2, У(1) — -5. y =

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Q: PI- Find the domain and range of the Pollowing functions fcx) = 1-V b- fx)= 5x+10 a- 2. X+3 c- G(t)2…

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Q: ) (a) (b) (c) Differentiate y == the function by using rules. 1 2x - 3 y = ln(7x + 5) y = 3x³e5x

A: In this question, we need to differentiate the given functions. Please note that as per bartleby…

Q: 3x + 2y find 6xy -7 ah For the function h(x,y)= %3D I3I

A: The solution is

Q: The horsepower H required to overcome wind drag on acertain automobile isH(x) = 0.00004636x3where x…

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Q: Let f(x, y) = ax²y + 3xy³ – 4x³ + axy. Find the value of a if fy(1, –1) = 13.

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Q: Find y as a function of a if x?y" + 15xy + 49y = 0, |3D y(1) = -5, y'(1) = 4. y =

A: Given differential equation is  x2y''+15xy'+49y=0 given y(1)=-5,y'(1)=4

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Q: F=(x-y², x²•y +3) at A-(1, 1), B=(2, –1) and C=(0,-2). %3D

A: The divergence of a vector field F = &lt;P,Q&gt; is defined as the partial derivative of P with…

Q: Find the interval(s) on which the function is negative. y = x2 - 6x - 16 I. (- 00 · 2) II. (- , 3)…

A: Put the values of given interval in the function and check that function is positive or negative and…

Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

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Q: əz For the function z = 4x³ − 2y² + 8xy, find - əz ax 九 11 2-0 2(4,4)=[ (Simplify your answer.)…

A: GIVEN :z=4x3-2y2+8xy

Q: y' = xy; when x=3, y=1 %3D

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Q: Find a function y(x) such that 8yy' = x and y(8) = 5. y = ||

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Q: Find dydx for the function y=3x.

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Q: Find one of the two residues of the function (2z + 3)/(2 - 2) on its poles. а. 0.25 b. 0.75 С. -7/4…

A: We say cauchy residue theorm 2πIota (sum of residues at singularities inside C)

Q: 7x+y For the function h(x,.y) = 9xy – · find and

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Q: Cansider the functions and its 1st devnative 4 h(g) = 5q* – 2q% → h'(q) = 10q² – 4q? 2 r(r) = 5n(2)…

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Q: dC dL If 3C +6L-CL2 determine-, where L is an independent variable and C is a function of L

A: The equation in terms of L and C, is

Q: Evaluate Jx and Jy for the function (x,y)= 7x³+xy-y³ at the point (-3, 3) a. fz(-3, 3) = 192 and…

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Q: Find y as a function of x if x^2*y′′+2xy′−20y=0 y(1)=−6,  y′(1)=1.

A: Find y as a function of x if x^2y′′+2xy′−20y=0 y(1)=−6,  y′(1)=1.

Q: y'''' + 3y'' − 4y = 0.  Find the function y

A: The given differential equation is y'''+3y''-4y=0. The corresponding auxiliary equation is…

Q: 7x + 6y For the function h(x.y)= 9xy - 7° find and dh dy

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Q: Find fyzy. 9,8 f(x, y) = x°y³ – 8x*y + x f yry yxY ||

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Q: Find fyx, y) for the function flx,y)=x*-7x3y2+6xy³ + 4y4 O-28y O -15y2 O 76x2 O 24x

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Q: Find a function y(x) such that 6yy' = x and x and y(6) = 9. y =

A: Topic = Differential equation

Q: 6x +5y find ху - 8 dh and For the function h(x,y)= dy dy

A: It is differentiation problem.

Q: Find y as a function of x if x²y" – 3xy – 12y = x², y(1) = -7, y(1) = -7. y =

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Q: (ii) ƒ(x) = ,f'(6). %3D

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Q: (b) Use the Chain Rule for functions of several variables to find e and dw if 4.x2y3 – 1 + 2y and v…

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Q: Evaluate the function. 1) Find h(3, 6) when h(x, y) = V3x + A) 5/3 C) 9 - y2. B) 3/5 D) 10

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

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Q: Find the linearization L (x, y) of the function f (x, y) = V101 – 4x2 – 9y? at (-2,-3). L (x, y) =…

A: In the question it is asked to linearize the function f(x, y)= 101-4x2-9y2 at (-2.-3).

Q: Evaluate the function. 2. Find h(3,6) when h(x,y) = 3x +y J3x+y O A. 9 O B. 10 O C. 3/5 O D. 5/3

A: We have given function  hx,y = 3x+y2 Put x = 3 , y = 6 h3,6 = 3×3+62 h3,6 = 9+36 h3,6 = 45 h3,6 = 35

Q: . 4. Find y as a function of x if x?y" – 7æy + 16y = 0, 2. || y(1) = -5, y'(1) = -4.

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Q: Find fxxyzz for f(x, y, z) = z°y2in x. fxxyzz = -12z?y/x2 O fxxyzz = -12zylx fxxyzz = -12zylx2…

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Q: For the function f(x,y) = 3 x³ + 5y4 5 4 x +y find f, fy, f(-1,1), and f,(-3,2).

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Q: 9x + 2y ah ah For the function h(x,y) find and ху— 10 ду ah ah ду

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Q: x5+7y6 For the function f(x,y) х6 find fx. fy f-3,-1), and f,(0,- 5) +ут

A: Given:

Q: Q.12. Find the value of coefficents ab ande that the fo)a -5, f'6) = -M. fou = ae-2u t bek + ocex.…

A: The solution is given as

Q: Using a suitable variable change find

A: Refer to the question we need to solve the provided integration of region using a suitable variable…

Q: Solue For X: Y= Xト メ+xt Ixt

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Q: Find a function y(x) such that 6yy' = x and y(6) = 3. y =

A: The objective of the question is solving the differential equation.

Q: 8x + 7y ah and find ah For the function h(x,y) = 9ху - 5°

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Q: 5x Find f, and f, for f(x, y)% = 9y - 7y 2x' %3D

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Q: For the function f(x,y)= x + 4y 3 4 x +y find f, fy, f(5,-5), and f,(1,3).

A: For the function fx, y=x2+4y3x3+y4, to find fx, fy, fx5, -5, and fy1, 3.

Q: x + 4y Зху - 10 dh find and For the function h(x,y) = ду dh ду

A: To find the partial derivatives

Q: Find a function y (x) such that y4) (x) = y(3) (x) for all x and y(0) = 18, y'(0) = 12, y"(0) = 13,…

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