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: 2= c2  + c

A: 2=C2+C We need to solve the equation.

Q: 5x-24+x2

A: Rearrange the given expression.

Q: 15a5b2+4a5b2=

A:

Q: Y16x? 14x²-2x² -2

A:

Q: 4 + 5x = 36 - 3x

A: We will solve for 'x' .

Q: S 2x - 5y 4 6x - 4y 3.

A:

Q: 5x + 9y = 12       4x - 3y = 8

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

Q: A+b+c=180 (For c)

A: Given, A+b+c = 180 To be solved for c

Q: 2x2 4x • 4

A: Given expression :

Q: 6x-6=3x

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

Q: 7x + 8y = 67  3x + 6y = 39

A: Solving system of equations means finding the value of the variable involved into the equation.

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: 3x + 5x + 6 + 10 =

A: To solve these type of question follow these steps : Add same variables together and then equate.

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

A:

Q: x+5 in V5 OEX

A:

Q: 4b2 + 8b +7 = 4

A: Given that

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

A:

Q: 2x-14

A:

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

A:

Q: andB

A: Use basic multiplication and subtraction of matrix  rule .

Q: 1 - = AV25 + BV5 + C V25 + V5 + 1 A+ B + C =?

A:

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

A:

Q: squareroot z+8=3

A:

Q: 7/5b=2/b-6

A: Solve the following

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: 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: x-6x

A:

Q: V3 + V75 = V3 + V25 -3 = v3 + V3 =

A: Given expression to simplify: 3+75

Q: where din you get 2y

A:

Q: 5x-2y=4+3x+4=9

A:

Q: Find the ocactlength of the 4=x3 34x

A:

Q: Find the midpoint between (-6, 11) and (2, 8)

A: -6, 11 &amp; 2, 8.

Q: (4/7 – 3V2)(2V7+5V2)

A:

Q: 7over9 + 3over4 - 2over3 =

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

Q: 5x+9=24

A: Since nothing is mentioned about the operation  to be performed on the above given equation, I will…

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

A:

Q: 3+2x2x

A:

Q: 5x-7=4x-1

A: Given that, 5x-7=4x-1 We will solve it, for the value of x

Q: 2x+5+7=

A: First, combine the numerical terms 5 and 7. 2x+5+7=2x+12=2x+2·6

Statements and Logic

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