Evaluate the integral (y-x)drdy over the region D in the ry-plane bounded by the straight 1 lines y = x + 1, y = x-3, y = --x+ ₁ = 1 7 3 3' y --x+ 5. 3 D [5]

Q: Solve 3x2+x = 23

A: 3x2+x=23 On simplification, we get 3x2+x-23=0 Now comparing with ax2+bx+c=0, we get a=3,  b=1  &…

Q: Solve Ч 3ху= 4'=45х +уз

A: Given differential equation:- 3xy2y'=45x4+y3

Q: Solve  2x=4x-1-3

A:

Q: 3^2x=5 Solve.

A: Given information:The given equation is

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: 15x* – 30Ľ x +7L = 0 ² %3D

A:

Q: Solve : 3x2 - 4x = 4

A: Consider the given quadratic equation: Here the objective is to find the value of x.

Q: Solve v-x + 30 = x.

A:

Q: Solve  6-x=2x+9

A:

Q: solution r^3 = 36r

A: The given equation is a third degree equation. So it has 3 solutions.

Q: X-X-30-0

A: x2 – x – 30 = 0Solve by completing the square.

Q: Solve: 8*+5 = 4*-1 %3D

A:

Q: y" + 49y = 0 %3D

A: Given the differential equation y" + 49y = 0 The auxiliary equation is m2 + 49 = 0

Q: X^4-13x^2=-36 solve for x

A:

Q: Solve by using u substitution and factoring:  x+x^1/2-20=0

A:

Q: Solve for x in the equation 3x² = 48 Ox=4 Ox= -4 Ox=4,-4 x = 4,8 Ox=2,8

A: Solution:

Q: Please fast solve  -1/2n +(- 1/2n

A: Solution is done in step 2

Q: Solue forx 8tlogs (-4x)=10

A: Please see the answer below.

Q: 3y 6y 2x° 2.

A:

Q: solve 8/9x - 1/3= 5/6x

A:

Q: P + = 1

A: Consider the function as f(p,q)=p+q-1 then obtain the complete integral for the given function.

Q: Solve : 2x2 = 250

A: 2x2=2502x

Q: Solve: 2x-gr+1 %3D

A: We use logarithmic properties to solve this equation