1-cos z5 2- Show that the function f(z) : has a removable singularity at zo sin z3 and that when the singularity is removed the resulting function has a zero of order 7. 3- Let y be the arc of the circle z 1 from z = 2 to z = 2i Show that dz z2 3 4- Evaluate |z| (z+2)(z-1) d2, where y = log z dz , where y = {z : ]z – i| i- z 5- Evaluate

Q: Find m/QRS R 10x- 5 22x - 7 37x+ 13

A:

Q: E 5x2 - 11x – 3 = 2x +3

A: Given that, The quadretic equation is, 5x2 - 11x - 3 = 2x + 3 We have to find the value of x.

Q: 4a(7a²-5a-7)+8a³+4a²+4a-15 For a = -3

A: To evalaute the value of given expression at the given value of a.

Q: 7x+21=4x-9

A:

Q: 2x2 +6x -20=0

A:

Q: Solve the system +2₂ +5x3 11 4x₁ +5x₂ +213 = 5

A: Solution of given question is written in below steps.

Q: 3a-2+5a=-3-(-7)+12a

A: See this solution in below.

Q: 4x2-4x+ 17 = 0

A: 4x2-4x+17=0

Q: 4x3+6x2-1=0

A:

Q: x+10 2х+6

A: We have to apply simple logic to solve this problem

Q: ab-6a+b-6a+l 9-3 9²-9

A: ab-6a+b-6a-3÷a+1a2-9

Q: 5x2+20x+32=0

A: The given quadratic equation is

Q: 7x-9+2x=-3(-2+12)

A: 7x-9+2x = -3(-2+12) adding x turms together:9x -9 = -3(10)9x = -30+99x = -21x = -219

Q: 6(2t - 4) +5t= 48-t

A:

Q: 3x + 4>x-7

A: x > ( - 5.5)

Q: f =xi+yj+ zk then the curl of F is: A. 3 B. 37 C. D. 1I

A:

Q: Need help

A: Given, k2+13k+42

Q: 3x2-12x+12=0

A: Given, equation is

Q: 2s-11 -4s+8

A:

Q: 7x-5x+15=x+8

A:

Q: divide (m4 - 10m3 + 12m2 + 21m + 23) ̧(m - 3)

A:

Q: x1 + 3x2 = 3 x1 + 4x2 + x3 = 0 2x1 +4x2 – 2x3 = 8

A: Using matrix augmented form,

Q: 8z - 4 = 6z + 3 Find z

A: To find z 8z - 4 = 6z + 3

Q: 2x3 +x+18 =0

A: The given function is of degree 3 so, it has three roots real or complex.   Here we have to find…

Q: C2 + 6c -4

A: The given equation is

Q: x²+ 7x+ 10 =3 x+ 2

A: Given that  (x2 + 7x + 10)/(x +2) = 3

Q: How many strings of length 5 can be formed if the alphabet (set of available characters)is {a,b,c}…

A: The given alphabets are {a, b, c}. So, the number of characters is 3. The length of the string is 5.

Q: 3x2 - 8x +4 = 0                        x = ?

A: A quadratic equation of the form ax2+bx+c=0 has roots -b±b2-4ac2a.

Q: 2x + 4 = 2(4x - 16)

A:

Q: 3x + x + x + x - 3 - 2 = 7 + x + x   What is the value of x?

A: We have to find the value of x.

Q: r6 + x5 + 32x + 32 = 0

A: Given :  The given equation is ;  x6+x5+32x+32 = 0 To find : We have to find all the solutions of…

Q: 6x-40=2(x+8)

A:

Q: olve for w 2w2 +18w+28=(w+7)2

A: Given: 2w2 +18w+28=(w+7)2  ⇒2w2 +18w+28=w2+14w+49⇒2w2 +18w+28-49=w2+14w+49-49…

Q: 2x² + x=10

A: According to the question. we have to solve the given expression 2x2+x=10. As the above expression…

Q: 2x+34=4(x+5)

A: Here we will solve for x,

Q: 6x2-2x+7=0

A: We have to use quadratic formula with a=6, b=-2, c=7

Q: Amir lives at point B (2, 4). Eric lives at point C (3, -3). The Pizza Shop is located at point A…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3D+16=-2(5-3D)

A:

Q: 12x +10 = 54 -10x

A: Here we need to find x from  12x + 10 = 54 - 10x

Q: 5x- 4 2x+ 2

A: From the theorem of tangent: The lengths of tangents drawn from an external point to a circle are…

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

A:

Q: e2x-3ex+2=0

A:

Q: k2 - 4k + 1 = -5

A: given,

Q: (* + e-) - (2y – y³) e-2= y' = 0

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.