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high school mathematics (Topic)

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"high school mathematics" is owned by matte. [ full author list (7) ]
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See Also: index of entries on compass and straightedge constructions


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least and greatest value of function (Theorem) by pahio
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Cross-references: compound interest, distance, complex function, complex numbers, integration techniques, fundamental theorem of calculus, midpoint rule, right hand rule, left hand rule, integral, Riemann sum, Rolle's theorem, theorem, mean, least and greatest value of function, extrema, related rates, derivative of inverse function, derivatives of sine and cosine, derivative, intermediate value theorem, continuous, improper limit, limit rules of functions, limit, series, sequences, geometric sequence, limit of real number sequence, trigonometric functions, Briggsian logarithms, exponential functions, rational functions, polynomial functions, argument, functions, operations, definitions, trigonometric equation, goniometric formulae, addition formula for tangent, addition formulas for sine and cosine, determining signs of trigonometric functions, sohcahtoa, exact trigonometry tables, triangle solving, SSA, SAS, SSS, ASA, bisectors, altitudes, isosceles triangle, regular triangle, right triangle, multiplication, addition, matrices, scalar product, mutual positions of vectors, Euclidean vectors, difference of vectors, parallelogram principle, sum of vectors, polar coordinates, parabola, hyperbola, ellipse, conics, condition of orthogonality, tangent line, slope, coordinates of midpoint, Cartesian coordinates, analytic geometry, mid-segment theorem, opposing angles in a cyclic quadrilateral are supplementary, Thales theorem, construct the center of a given circle, Pythagorean theorem, regular polygon and circles, parallelogram theorems, converse of isosceles triangle theorem, isosceles triangle theorem, determining from angles that a triangle is isosceles, angles of an isosceles triangle, geometry, proofs, axiomatic, trisection of angle, circle with given center and given radius, construction of tangent, erecting the perpendicular, dropping the perpendicular, perpendicular bisector, compass and straightedge constructions, volumes, areas, lengths, center normal as locus, angle bisector as locus, angle bisector, normal line, locus, projection of point, angle of view, angle between two lines, explementary angles, supplementary angles, complementary angles, radian, convex angles, acute angles, tangent of circle, similar triangles, similarity, perpendicularity, parallelism, endpoints, properties, solid cone, cylinder, parts of a ball, circles, base and height of triangle, regular polygons, polygons, trapezoids, rectangles, parallelograms, triangles, angles, rays, line segments, planes, lines, points, polynomials, long division, absolute value inequalities, inequality with absolute values, strange root, quadratic inequality, quadratic formula, square roots of rationals, completing the square, even-even-odd rule, zero rule of product, factoring a sum or difference of two cubes, grouping method for factoring polynomials, difference of squares, square of sum, linear equation, integers, irrational numbers, product, multiple, division, inverse number, difference, opposite number, contrapositive, converse, proof by contradiction, induction, per cent, proportion equation, inequality, equation, product of negative numbers, associativity of multiplication, real numbers, rational numbers, natural numbers, intersection, union
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This is version 88 of high school mathematics, born on 2005-05-15, modified 2009-02-22.
Object id is 7056, canonical name is HighschoolMathematics.
Accessed 29136 times total.

Classification:
AMS MSC00A20 (General :: General and miscellaneous specific topics :: Dictionaries and other general reference works)

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divisibility by 11 by PARASHAR on 2007-12-10 21:41:45
I am just confused with the ways to find divisibility by 11.
1) If sum of alternate digits is same then number is divisible by 11 -> this is sufficient but not necessary
2) If sum of digits is 11, then number is divisible by 11. This does not seem true always. For eg: 605 is divisible by 11 but 434 is not.

Can anyone please prove how to find divisibility by 11?
[ reply | up ]
Units digit by PARASHAR on 2007-03-29 00:30:23
Whats the units digit in the expansion of

(15+sqrt220)^19 + (15+sqrt220)^82
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