x+ y < 6 5x + y > 9 x > 0 y 2 0

Q: x-2 X = x-1 y = - 6. y+5 4, y+1

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Q: y(x) = 4x²y" + y = 0, y(-1) = 6, y'(-1) = 3 , x < 0

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Q: 2. y=5-2cos x+ x+

A: Domain of  5-2cosx-π4The domain of a function is the set of input or argument values for which the…

Q: 3) 2y"+y'-y = x + 1

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Q: x* + 5х 5. Зх + x² - 2 3x3y3 4xy :- y-x 7. X-y

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Q: 5 y = 2 – x 6 y = -5x 7 y = 2x' – 3 8 y= x + 8 9 y= 10 y = x 11 y = Vx +1 12 y = 4 + 3x 2.

A: Remark: A function g is said to be inverse function of f if  f(g(x)) = x for all x in the domain of…

Q: y 4| x = y' - 2 y 3 3 4' 2 -1.5 -1.0 0.5 0.5 1.0 x = y- y

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Q: 4+x x-3 2 10 V

A: The given inequality is

Q: 6) y = (4 - x2/3) 3/2 from x = 1 to x = 8

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Q: y 8. If z = 2 = 0. show that + 2 x + y ||

A:

Q: Elimination of Arbitrary Constants

A: We have to find

Q: y 3- x = y - 5 y = 1 X= e -6 -4 -2 4 y = -1 2.

A: we have to find area

Q: y 3 y = V x 1 (1, 1) X = 8 y = X 2 4 6 8

A: The given figure is We have to find the area of the region bounded by the curves.

Q: 2) x + xy+y -7= 0, (1,2) Ans. -4/5

A: We have, X^2 + xy + y^2 - 7 = 0 Differentiate with respect to x, we get 2x + [ x • dy/dx + y • dx/dx…

Q: y=2.2x+12      x= y=2x−6.1     x= y=5(x+5)−1 x=

A: 1. Given y = 2.2x + 12 y= 4x + 12 4x = y - 12 x = (y - 12)/4 Or   x = (y/4) - 3

Q: x + 2 5 2 y+1 x = Ex: 5 y = Ex: 5 ||

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Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: 6. 3x + y 2 9 2x +4y 2 16 x, y 2 0

A: I have solve only #6 as you have only asked for it

Q: 4. f(x) = 3 + vĩ 2 4 6 5. (x) = V4 – x 3 2 y

A: We can fill up the tables as below as below

Q: 4. (x 2)2 + (y + 4)2 = 16 %3D

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: y" - 6 y" + 9y' = 0 _ y(0) = 0, y'(0)= 2 , y"(0)= -6

A:

Q: 2- y"' = 0 3- y" + z' = 0; z" + y' = 0 %3D

A: (Sol - 2) From the given information. The differential equation is .

Q: 5. y = x² - 4x Xx -2 -1 0 1 2 3 4 5 6 y

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Q: x- y=-2 2.x + y = 1 -41 4 -2 -6 -5 -4 -3 -2 -10 1 2 3 4 5 6 --3 -2 -10 1 2 3 4 5 6 -2 -2

A:

Q: In Problems 37–40, write an equation for each hyperbola

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: (x+1)(1-x) 9. y = (x+2)2 10. y = (2x2 - 1)(3x + 2)³

A: Given  y=x+11-xx+22

Q: 21. X -2 -1 0 1 y -1 -4 2. 1/2 2. 1/2 2.

A:

Q: 2. y=2 x - x+ 3 x' + x? + 5 - 2x- 3. y

A: solution:-(2) y=2x2-x+3x-1+x-2+5dydx=ddx2x2-x+3x-1+x-2+5     =ddx2x2-ddxx+ddx3x-1+ddxx-2+ddx5…

Q: (x-1)a y' = y y+3 y(3) = -1

A: The given differential equation is y'=yx-12y+3; y3=-1. Here we use variable separable property of…

Q: (1) y=x, y=2-\x/ (2) y=1/x², y = 8x, y = x/8

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Q: (x 2 0, y 20 3x + 4y s 12 (x + 2y 2 2

A: In the given question we have to find the region for which x and y which are grater than or equal to…

Q: Solve for x and y.

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Q: x 2 s 2) = 1

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Q: +y y+x = 1 (y - 2) + (x + 3) = 1 (x - 1)° + (y + 2)* = 1 25 16 36 9 16 4 11 ::

A: We have to match

Q: 8. f(x, y) = (x³ + (y/2))²/3 10. f(x, y) = x/(x² + y²)

A:

Q: 2. 2 4 (xクノー→0ノ0) X'+3y"

A: Find the value of the limit of lim(x,y)→(0,0)x2y2x4+3y4. Suppose that the (x,y) approaches to (0,0)…

Q: 1 x2 1- y 2パーン 3. - 1 + y x + x2 x²

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Q: x - y - 1 = 0 y +x+3 = 0 y +z 8

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Q: probien y(3) – y" + y' – y = 0 y(0) = y'(0) = y" (0) = 1.

A:

Q: 18)x =2+y 2y x-z+1 2z=-2-y

A: i have solved question number 18 for other question repost.

Q: Зх + 2y > 6 3x Зх — 2у s 6 2 0 X

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Q: 3. y = (x³ + 3)3 (x2+2)2 4. y = %3D 3 5. y = e*2-2x

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Q: 2. y" - y' - 2y = 0 : y(0) = -2, y'(0) = 5

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

Q: 9. 2(x+y) 25(x-y') at (3. 1) 10. y'(y -4) =x*(x-5) at (0,-2)

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Q: Max x1 + x2 s.t. X1 + 2x2 0

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Q: 2 y' = -x - 2 y – x + 7 1 y A) (y – x)³ + 14y2 + 4x² = 9 B) (y – x)² – 14y +x + 9 = 0 C) (y – x)² +…

A: The given differential equation is y'=y-x-2y-x+7  , y12=12ORdydx=y-x-2y-x+7  , y12=12 The given…

Q: (-6, x<-4 10) f(x) = {0, -4 <x< 1 (-x-1, x2 1 | 4 y 6|+|セ 2

A: topic - sketch of a function

Q: Homogenous: (D2+ 4)y = 0

A: follow next step

Q: x + y – z= -2 x – y – 7z = 0 2 8 てー14 7

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.