x² + y? 2.xy

Q: 1. x? -y - 4x + 6y – 11 = 0

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

Q: dy 2ry = 1+ y? , y(2) = 3 da

A:

Q: 5. Find x and y 3y-4° 1o0

A: In a cyclic quadrilateral, the sum of a pair of opposite angles is 180°

Q: (x-3)2 + (y + 9)² = 36 C(, ) r=

A: the general equation of the circle is  (x-a)2 + (y-b)2 = r2  where (a,b) are the center of the…

Q: Cxe tyニ3 2. y"=? ニ

A: We will find the y" as shown below

Q: R V = 2no dR VR? + r2

A: Let R2 + r2 = z2 Hence, 2RdR = 2zdz Hence, RdR = zdz Also, when R = 0, z = r when R = 9, z = √(9 +…

Q: y = cez + c2xe None of the others y = cez + xe³z

A:

Q: Find y when x is replaced by 2, if y = x² (1 – x)? а. 24 b. 12 с. 10 d. 8

A: Find y when x is replaced by 2, if  y= x2(1-x)2

Q: 3x?y" + 6xy' + y = 0 X > ||

A:

Q: (x*-y* ) = {x2+y?

A: we have to find the limit of f(x,y) as (x,y)→(0,0) if it exists and also determine whether f is…

Q: - ***** Giveu : mel- 5x+6y Frud: x aud y i 23 = 6x-44

A:

Q: y =2x+y?, y(0) = - 1

A:

Q: x + y = 10 x ?

A: Add -x on both sides. Then get y value in terms of x. then for different values of x we get…

Q: v (0) = 2, y(0) =

A:

Q: { 2xy? 9x2 + y4 (x, y) # (0,0) (x, y) = (0,0) f (x, y) ·

A: Topic = Limits and  Continuity

Q: If xy? - y3 = 5, find y'. y' =

A:

Q: - -x, x-2 4) h(x) = y 16 2

A: We will draw the graph of given function by taking arbitrary values of x , and then We get output…

Q: If y = 3(8 – y) and y(1) = 10 what is y(0)? %D y(0) = %3D

A:

Q: /+v= y, y(0) = 2

A:

Q: y² 49 1 y? /-

A:

Q: d²y 7. – 4y=-6e', y(0)=3; y'(0)=4 di? 2/2

A:

Q: 3. (2x – y)3 = 3x?y, find y' %3D

A:

Q: P(X< 1 |Y = 2)

A: Given, To find the value of

Q: *+ y = e2t ; y(0) = 0 2.

A: Given,  dydt+y=e2t; y(0)=0 We can write it as y'+y=e2t

Q: y =x? +6 2. at x-2 4.ア=+5 at x-1

A: Put values of x and find y

Q: + y² = 0.1, then ces)

A:

Q: Find the values of x and y.

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

Q: ty +(2t+1)y = 3t, y(1) = 2. %3D

A:

Q: (a) y= 9x– r? - 2 ーx (d) y = x+1 (g) y =x3 1/3

A: Hey, since there are multiple questions posted, we will answer first  3 question. If you want any…

Q: Find the values of x and y. (3y – 5)° (7y – 4)° (12r + 3)° 59° x = y =

A: By using condition of vertically opposite angle.

Q: Order One  DE (2x+3)y'=y+(2x+3)1/2; when x=-1, y=0

A:

Q: R1 = {(x,y)| x + y > 10}

A:

Q: xp áp (** + 1. y+1 x2+1,

A: Changing order calculate the integral:  ∫14∫12xy+1+xx2+1dydx=∫12∫14xy+1+xx2+1dxdy…

Q: y ds, C: x = t², y = t, – 2 <t < 3

A:

Q: A) y' = y+x?y' Y(0) =

A:

Q: 2. x = 3. y = ? 4. z 10

A: (2) Using properties of similar triangles we get, x/10 = 5/x x . x = 10 . 5 x^2 = 50 x = 5 sqrt 2…

Q: b) (x? + 1)y" – xry' +y =0.

A:

Q: { 2xy? 9x2 + y4 (x, y) # (0,0) f (x, y) = (x, y) = (0,0)

A: We will discuss limit by using different paths.

Q: 6. y'=*+y? 2xy when x = 1. y 0,

A:

Q: x² – y? = 4, x² + y? = 12 %3D

A: detailed solution is given below

Q: y = va? – x² and y = 0. |

A: As the two equations given are a staright line and a circle which is given in the required question.

Q: VP +y ydzdydx 2. x² +y² +z? 2 3 J0 Jo

A:

Q: r?y" + xy' – 4y = 0

A:

Q: y? 9. dy y² + 4y + 8

A:

Q: y' – 2y = y², when y = 3 and x |0 =

A:

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

A: