Q#4: a) Evaluate f (x +2y)dx+ (y – 2x)dy along the ellipse C defined by x = 4 cos 0, y = 3 sin 0 0s0< 27 if C is described in a counterclockwise direction. 4 dz +9 b) Evaluate the following integral by using Cauchy integral formula

Q: 4x+8 3x+33

A: Given query is to find the value of x.

Q: 11x-20y=28  3x+4y=36

A:

Q: -q - -p is equivalent to A qV-p В -qV p ЧА-Р D ЧАР

A: The given statement -q→-p. We have to find the equivalent statement.

Q: 15a5b2+4a5b2=

A:

Q: Evaluate 7ey +dy -5 y

A: We have to find the value of this integration.

Q: Y16x? 14x²-2x² -2

A:

Q: 5x + 9y = 12       4x - 3y = 8

A: Given system of equation 5x+9y=12, 4x-3y=8. Find x and y.

Q: Find mZ1. 16. (5x + 14) 1 (7x – 12)

A:

Q: Show that D^2 = {(x, y) ∈ E^2: x^2+y^2 ≤ 1} ⊂ E^2 and the space containing a single point are…

A: In algebraic topology, two topological spaces are said to be homotopy equivalent if there exists a…

Q: Determine, with justification, whether the series converges absolutely, converges conditionally, or…

A:

Q: Passes through (2, 7) and (-1, 1) write the eu poution

A: Given :(x1,y1)=(2, 7)(x2, y2)=(-1, 1)

Q: 2x2 4x • 4

A: Given expression :

Q: Determine L™¹ 2s-3D 2 +2s +17

A: Sol

Q: 6x-6=3x

A: Firstly, we subtract 3x from both  sides of equation.

Q: x=7, x2-2x+5=

A:

Q: 5x+1>16

A:

Q: 2x+ 4 odx x+2x+4x+ 8

A:

Q: 10k+1=40 -7k

A:

Q: find the value of x 2х - 8 x+2 2х- 5 x+1

A: Using segment relationship a×b=c×d.

Q: 5+5x+10(if x=6)

A:

Q: 3. (7x -9x3- 4x2 + 5x)- (2x4+3x3-x2-x - 4)

A:

Q: 5x2 3x1 + 2x2 i. b₁ = 1, b₂ = 4 ii. b₁ = −2, b₂ = 5 -. x1 = b₁ b2

A:

Q: Find a + b, 2a + 3b, lal, and la - b|. a = (4, –3), b = (-2, 5) a + b = (9,2) (2,9) 2a + 3b =

A:

Q: The simpliest form of  a2-   -b2  /8a-8b

A:

Q: -3b5 + 12b4-15b

A:

Q: Show the proper algebraic steps to 2x+4 = 4x. %3D

A: According to the question, we have to solve the algebraic expression 2x+4=4x and find the value of…

Q: 2 4z – 1+8 > 20

A:

Q: 2x+7 x-4 6 6 + x+7 5

A:

Q: (; 3s + 8 s2 + 2s +5

A: Some of the properties of inverse Laplace  L-1ss2+a2=cosatL-1as2+a2=sinatL-1F(s-a)=eatL-1F(s)

Q: Multiply.

A: Use the defintion of square to write the given expression as follows.

Q: 6x+1≥-5

A: topic - inequality

Q: find rref 2 6 -4 0 1 2 -3 6 8 3 2 5

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is now convert into…

Q: 7over9 + 3over4 - 2over3 =

A: We have to find the value of ,      7 over 9 +3 over 4-2 over 3

Q: -(x-6)

A:

Q: Find SR 12 2x +1 5 + 4x

A:

Q: + 6x2 + 5.x3 4x2 + 7x3

A:

Q: 1-3 s B/ Determine s2 + 8s + 21

A:

Q: 3P+2 p2+4

A: The answer is,  3cos(2t) + sin(2t)  The detailed solution is as follows below:

Q: Find ()() 24e-5s + 2-9 L-1 s2 + 8s + 17

A:

Q: + 7b-20

A: 6b2+7b-20 = 6b2+15b-8b-20 = 3b(2b+5)-4(2b+5) = (3b-4)(2b+5)

Q: 10xs20+7x.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.