Metallurgy    by Himanshu Singh

 All notes apna college    by Himanshu Singh

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the corner points of the feasible region determined by y <= 8, 2x + y >= 8, x >= 0, y >= 0 are a(0, 8), b(4, 0) and c( 8 , 0). if the objective function z = ax + by has its maximum value on the line segment ab, then the relation between a and b is : (2) a = 2b (4) 8b + 4 = a (1) 8a + 4 = b (3) b = 2a if t = e ^ (2x) and y = ln(t ^ 2) then (d ^ 2 * y)/(d * x ^ 2) is   If t = e2x and y = ln(t ^ 2) then (d ^ 2 * y)/(d * x ^ 2) is: by Himanshu Singh

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 1300 Math Formulas   Contents 1 NUMBER SETS 1.1 Set Identities 1 1.2 Sets of Numbers 5 1.3 Basic Identities 7 1.4 Complex Numbers 8 2 ALGEBRA 2.1 Factoring Formulas 12 2.2 Product Formulas 13 2.3 Powers 14 2.4 Roots 15 2.5 Logarithms 16 2.6 Equations 18 2.7 Inequalities 19 2.8 Compound Interest Formulas 22 3 GEOMETRY 3.1 Right Triangle 24 3.2 Isosceles Triangle 27 3.3 Equilateral Triangle 28 3.4 Scalene Triangle 29 3.5 Square 33 3.6 Rectangle 34 3.7 Parallelogram 35 3.8 Rhombus 36 3.9 Trapezoid 37 3.10 Isosceles Trapezoid 38 3.11 Isosceles Trapezoid with Inscribed Circle 40 3.12 Trapezoid with Inscribed Circle 41 3.13 Kite 42 3.14 Cyclic Quadrilateral 43 3.15 Tangential Quadrilateral 45 3.16 General Quadrilateral 46 3.17 Regular Hexagon 47 3.18 Regular Polygon 48 3.19 Circle 50 3.20 Sector of a Circle 53 3.21 Segment of a Circle 54 3.22 Cube 55 3.23 Rectangular Parallelepiped 56 3.24 Prism 57 3.25 Regular Tetrahedron 58 3.26 Regular Pyramid 59 3.27 Frustum of a Regular Pyrami...