2: Evaluate [G(x, y)dx, [G(x,y)dy and [G(x, y)ds on the indicated curve C. G(x, y) = x³y² + y² sin 3.x + cos 3 x, x = 3t, y = t,0 < t < 1.

Q: Solve 4x + 5-9x +15>0

A: To solve  4x + 5-9x +15&gt;0

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: 21 Solve x + 2x-3=0 x = {

A:

Q: Solve x2+ x + 1= 0

A: The given equation is,

Q: 15x* – 30Ľ x +7L = 0 ² %3D

A:

Q: Solve ,  5(x-6) = 4(x+8)

A: The given equation is 5x-6=4x+8.

Q: Solve x^2 + 3 x - 9 =0

A: The given equation is,

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 Vr + 5+1 = x

A:

Q: x-1= 3 4-2x X 2 x² - 4

A:

Q: Solve  7x - 5 = 8x + 9

A: The equation is given by 7x-5 = 8x+9 To evaluate: The value of x which satisfy the equation.

Q: Please fast solve  -1/2n +(- 1/2n

A: Solution is done in step 2

Q: Differentiate - 3x 1 X+- X,

A:

Q: Solve and checkX/x-1-1=3/x+1

A: Given,  (x/x-1) -1 = 3/x+1By taking LCM, we getx-x+1/x-1 = 3/x+1

Q: solve 6/x2 -25=1/x+5 -3/x-5

A: Given:

Q: 1. finol Solution of the differential equatiou

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 for x 3lnx-2xlnx=0

A:

Q: Solve - 3 / x + 8 / x - 1 = -1

A: Given:--3x+8x-1=-1

Q: solve equation  10x=4x+9+5x

A:

Q: Solve x3 - 5x2 &gt;= 0.

A: To solve the inequality:x3-5x2≥0. Solution: x3-5x2≥0 On simplifying further we get:…