R= { (x, y) : y 2r+1}

Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: sec² (w) - -dw 4w2 +1 10.

A:

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: (x + 2)2 + (y + 1)2 =

A: Use the formula a+b2=a2+b2+2ab (x+2)2=x2+22+2(x)(2) =x2+4+4x Also, (y+1)2=y2+12+2(y)(1) =y2+1+2y So,…

Q: y = (1– 2x) ;y" ¡y"

A:

Q: y = /5 + x², y = 0, x= 0, x = 2

A:

Q: Differentiate y = 21/2 4 - x (4 – x³)'"2 -

A:

Q: x = t3 + t2, y = 7t2 − 4, t = 2

A:

Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

A:

Q: Differentiate 4(x + 2y)2 = x2 + y2

A: given equation 4(x + 2y)2 = x2 + y2

Q: R= {(x,y) | X is the sister of y}

A: This is question of algebra Here set is given We have to find components of it Further calculation…

Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

A:

Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

A:

Q: 3y +5 (5y-7)2 dy

A: We can find the integration as below.

Q: 1 x+1 ST (2y-2)dydx Evaluate 0 °0

A:

Q: Find the point on the line 2x + y = 7 that is closest to the point (−4, 2).

A: We use second derivative test to find out point where distance minimum

Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Q: Q: (2x+y)(x+y) ах Find -?

A: Given query is to find indicated partial derivative.

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

A:

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: Solve for ‘x’ and ‘y’:(a – b) x + (a + b) y = a2 – b2 – 2ab(a + b) (x + y) = a2 + b2

A: Given,

Q: Find the point on the line 2x + y = 8 that is closest to the point (−5, 1).

A: Use distance formula to solve

Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: 2dx x √x² 3√x² 2

A:

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A:

Q: Sx - 2y - 5x y = 9. %3D - 1

A: