max -a? – xy-y? x – 2y < -1 2.x + y 2 2

Q: x2 +12 4.) Where is m(x) increasing and decreasing? %3D r+2

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Q: 2) h(x) = x – 1; Find h(8) %3D A) 2 B) 7 C) -6 D) -4

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Q: Solve ty" + 2y' + ty = 0 if y (0) = 1 and y (t) = 0. %3D

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Q: mation 9. y'-y = 2te²¹, y(0) = 1 2

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Q: Solve for x and y. 11) x+70 R 66 + x 14y + 2 F 6+ 13y

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Q: Solve. X+y +z = - 11 2x + y-z = - 13 X-y +z = 1

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Q: Find the solution. xy'- xy = 1- y, y(1) = 0 A y --(1 - el-) © y -1+ el+")

A: Solution of the differential equation

Q: intersecting tiner (xs+2t y +t 20646)and x=3-t ye2 2011+2t).

A: Concept which used in next step : Equation of plane passing through (x1,y1,z1)&amp; having direction…

Q: a2f ду? 1 If f(x, y, z) = - 2+y² + find ax2 az2

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Q: Find an explicit solution y' = (1– 2x)y², y(0) = – 1/6 Upload Choose a File

A: Given that y' = (1 - 2x)y2 ;  y(0) = -1/6 Solve this by using variable separable method

Q: %3D Select all possible yalues for x that solve the equation x2 = 900. А. 10V9 B. O -10V 90 С. V90…

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Q: Q Find the domain of y 1- Vx + V+ 3x-x – 3

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Q: Determine whether y(x) = 2e-* + xe-* is a solution of y" + 2y' + y = 0. Is y(x) = 1 a solution of y"…

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Q: General Solutions y" – 4 y'+ 4 y= (1+x)e*+ 2e2* + 3e³x |

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Q: dy 1 2 3 y+y´ + y`

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Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: f (x, y) = (x - 3)² + (y - 2)²

A: Given: f(x,y)=(x-3)2+(y-2)2 starting at x=1 and y=1

Q: 5) /x + y + y² + x² = 18, y'at (0,4 )

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Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: 3x²y if (x, y) = (0, 0) + y? if (x, y) = (0, 0) f(x, y) = { x +

A: In this question, we have to check the continuity of a function of two variables.

Q: (b) FIND THE VALUE OF x WHICH SATISFY: i. 3(x- 2) < 5 ii. 5+ %x 2 %x – 1

A: find x value   i 3(x-2)&lt;5 3x - 6 &lt; 5 3x &lt;5+6 3x&lt;11 x  &lt; 11/3   ii 5 +x/4 &gt; 3x/8 -1…

Q: x=t-2 and y= t t-2

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Q: A = {-();n e N} -1 S = {x €R; 12x+ 1| < 5} -Y

A: Find the attachment

Q: y'-y= xe* +1

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Q: 4. Y= C, ex + C2e* + X

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Q: A 4,-1) B(4,-2) find lime x approachesto1 from postve dinection.

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Q: Find the particular solution 3у %3 х3 — 2ху; when x %3D1, у %3D1. = x 2xy; when x = 1, y = 1.

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Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

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Q: 3. Solve y'" + 6 y' + 9 y = 0, y(0) = 5, y'(0) = - 8 %3D %3D y (t)

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Q: find general solution to y''+y'+y=2xe^x

A: on solving the given differential equation by indeterminate coefficient method we will get the…

Q: 332. f(x, y) = x² + y-e³

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Q: solve. y'−( 1/x) y = x^3, where x>0

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Q: ependent, express your answer in terms of x, where y = y(x).) 0.2x + 0.1y = 0.9 0.3x - 0.3y = 0.6 x,…

A: Given query is to find solution of the system of equations.

Q: a.f(x, y) = (x² +x + 1)e¬r²/10-y²

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Q: o three steps atthe Secaut £(X) X-2 Using X-0 %3D

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Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: Please show complete solution. Evaluate y = sech32x-3sech2x. Find y' when x = 0. a. 1 b. 0 c.…

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Q: Solve y"-xy' - By = 0, x>0 A) y = e+ B) y = c,x* + C) y= + D) y =c,3r*+

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Q: Q-1:A: find a real general solution: * y + 4y' + 5y =x +2

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Q: f(x, y) = x4 + yA; x2 + y2 = 18

A: In this question, we find the maximum and minimum value of the function by using the Lagrange…

Q: y = x²sin (3x)

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Q: What is the general solution to y''+y=0. Show the solution.

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Q: f(x, y) = /4x? + 2y² f-( – 3, 1) = |

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Q: Solve ty" + 2y' + ty = 0 if y (0) =1 and y (t) = 0. %3D

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Q: solve for x and y: xy-x =0

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Q: 3x+xy? when y(1) = 3. y+x?y Find the particular solution of y'

A: First order non linear ordinary differential equation, solving by separating the variables.

Q: y - 2x = - 4 Point y = x - 2 Verify: 2x+ y

A: In this question we will use basic of plotting of linear equations on graph i.e first put x=0 and…