B. Sc. III Mathematics
85 videos • 232 views • by Doctor of Mathematics
1
Find the image of the circle |z-5|=5 under Mobius transformation w=z/z+1.
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2
Solve the following Transportation problem
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3
Solve the following minimal assignment problem
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4
A firm manufacturers three products A, B and C. The profits are Rs. 3,Rs.2 and Rs. 4 respectively.
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5
A firm manufacturers three products A, B and C. The profits are Rs 3,2 and 4 respectively. The firm
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6
A company produces two types of hats. Each hats of first type required twices as much labour time as
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7
Evaluate integrate z^2 from 0 to 1+i w. r. t. z.
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8
Evaluate the integral e^iz/z^3 with respect to z along C :|z|=1.
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9
Evaluate closed line integration 1/z-2w.r t. z along the circle |z-2|=4.
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10
गाज़ा पर गज़ब की बमबारी, धमाकों से हिल रहा है गाज़ा, दूसरी तरफ खुनी दंगे, क़यामत का मंज़र #gaza_update 🔥
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11
Cauchy's Integral Theorem or Cauchy Gaursat Theorem
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12
Evaluate dz/(z^2+9) , where C is circle |z-3i|=4.
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13
∫(4-3z)dz/(z^2-z) , where C is any simple closed path such that 1€C and0¢C.
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14
Evaluate ∫(z-3) /(z^2+2z+5) dz, where C is |z|=1.
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15
Find the supremum and infimum, if they exist, of the set:{1+(-1)^n/n:n belong to N}.Best Mathematics
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16
The intersection of an arbitrary collection of open sets is:||Unique solution ||Best mathematics||
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17
Find the analytic function of which the real part is e^-x[(x^2-y^2)xcosy+2xysiny]
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18
Show that |z|^2=z.z̄
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19
A uniform circular plate is supported horizontally at three points A, B, C of its circumference.
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20
Show that the law of force of Central orbit r^n=a^ncosnθ under a force f=(n+1)h^2a^2n/r^2n+3
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21
Test the convergence of the integral from 0 to infinite e^-axsinx/x, a greater than and equal to 0
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22
Comparison Test proof
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23
The series 1/1^p+1/2^p+1/3^p+...+1/n^p+.....is convergent if p greater than 1 and divergent if p les
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24
Limit (x,y) tends to (0,0) xy/x+y
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25
State mathematical form of a general L. P. P. and explain it
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26
A manufacturer of a line of patent medicines is preparing a production plan on medicines A and B.
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27
A solid hemisphere rest on a plane inclined to the horizon at an angle α less than sin-1(3/8) and
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28
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29
Prove that set Q if all rational number is countable.
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30
Position of Equilibrium:Stable, Unstable and Neutral Equilibrium
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31
Find the differential equation of the central orbit in polar coordinates. d^2u/dθ^2+u=f/h^2u^2
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32
Solve the following linear programming problem graphically:maximize:z=2x1+3x2, subject to 4x1+3x2 le
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33
Solve LPP: min z=2x1+3x2,s.t.
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34
ARY News Prime Time Headlines | 9 AM | 21st May 2022
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35
ARY News Prime Time Headlines | 9 AM | 21st May 2022
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36
Prove that E=(1-∇)^-1
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37
Prove that Δ x^(n)=nhx^(n-1) #numericalanalysis
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38
Find the value of Δ^2(x+cosx)
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39
Prove that √2 is irrational number.
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40
Chhote Chhote Bhaiyon Ke Bade Bhaiyya - Hum Saath Saath Hain - Bollywood Wedding Song
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41
The value of x and y are given as below:x: 5 6 9 11,y:12 13
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42
Find the form of the function y=Ux,given that U0=8,U1=11,U4=68,U5=123.
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43
Prove that the series whose n th term un is given by: un=n/(n+1).
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44
Test the convergence of the series whose n th term is √(n^3+1)-√n^3.
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45
Test for convergence the series: 1^2.2^2/1!+2^2.3^2/2!+.....+n^2.(n+1)^2/!
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46
Prove that the set R of real numbers is uncountable.
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47
यदि u=f(r)तथा x=cos,y=rsin तो सिद्ध करें del^2/delx^2+del^2u/dely^2=f(r)+1/rf'(r)
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48
General Quadrature Formula (Newton-Cote's Quadrature Formula)
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49
The velocities of a particle along and perpendicular to the radius vector from a fixed origin are λr
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50
A particle is describing a plane curve.If the tangential and normal accelerations are each constant
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51
Prove that:E∆=∆E (Numerical Analysis)
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52
Find the missing values in the following table:x:1 2 3 4 5.y:7 _2740
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53
Prove that:∆∇=∆-∇ (Numerical Analysis)
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54
Find the centre of gravity of hemishpeical shell.
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55
Find the C.G. of a plane lamina of uniform density in the form of a quadrant of an ellipse.
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56
Find the C.G. of the area included between the curve y^2(2a-x)=x^3 and its asymptotes.
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57
Find the C.G. of an arc of catenary y=ccoshx/c.
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58
Use Cauchy's integral formula to evaluate ∫(z^2+1)/(z^2-1)dz Where C has radius 1 with centre at z=1
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59
Consider the transformation w=2z and determine the region R' of w-plane into which the triangular re
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60
Find five terms in the Lauren's expansion of 1/z(e^z-1) for the region |z| greater than 0 and less
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61
Using Newton -Raphson method, establish the iterative formula for finding the reciprocal of a positi
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62
NEIGHBOURHOOD OF A POINT (DEFINITION), ε-NEIGHBOURHOOD, Deleted Neighborhood
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63
If the length of a uniform chain ,suspended between two points at the same level,is adjusted so as t
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64
find the billinera transformation of the points which maps the points -1,0,1 onto the points 0,i, 3i
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65
Use Cauchy's integral formula to evaluate z/(z^2-3z+2)dz where C is a circle |z-2|=1/2.
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66
∫e^z/z^2(z+1)^3dz,C: |z|=2
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67
Show that the function f(z)=x-iy is not analytic at any point.
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68
Expand f(z)=1/(z+1)(z+3) in a Laurent's series valid for the regions (i) 1 less than|z| leas rhan 3
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69
Evaluate ∫z^2+6z-1/(z-4)dz over the closed curve C ,where C is the circle|z|=5.
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70
Find the stationary value of u=x^2+y^2+x^2 subject to condition ax^2+by^2+cz^^2=1 and lx+my+nz=0.
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71
Evaluate by using Cauchy's Integral formula ∫c (z-1)dz/(z-2)(z+1)^2, where C is |z-i|=2.
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72
Use Cauchy's Integral Formula to evaluate ∫C(2z+1)dx/z^2+z where C is |z|=1/2.
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73
By using Cauchy's Integral formula Integral, evaluate ∫Ce^-zdz/z+1 , where C is the circle|z|=2.
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74
Evaluate by Cauchy's Integral formula Integral evaluate ∫Cdz/z(z+πi) ,where C is the circle|z+3i|=1
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75
Find the length of the circular helix r(t)=(a cost,a sint,ct) from (a,0,0) to (a,0,2πc).
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76
If aijxixj=0 for all values of the variables x1,x2,x3,...xn show that aki+aik=0. L-15
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77
If n^3 quantities Bi,jk are connected with the n^3 quantities Ai,jk by equations of the from Bi,jk=A
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78
Using Cauchy's Integral formula to evaluate ∫C e°3zdz/(z+1)^4 where C is the circle |z|=2.
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79
Evaluate by Cauchy's Integral Formula ∫3z^2+z/z^2-1dz along C ,where C is the circle |z-1=1.|
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80
Write the terms in each of the following indicated sums (i) aijxj (ii) ApqAqr. L-17
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81
Contravariant vector (Definition) L-18
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82
Covariant vector (Definition) L-19
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83
Solve: (d^2y/dx^2+y)cotx+2(dy/dx+ytanx)=secx
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84
Write the terms to each of the following inducted sums (i) ∂√gAk/∂xk (ii) ∂xj/∂xk∂xk/∂xk
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85
Invariant or scalar (Definition) Tensor Analysis
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