differential equations, Mathematics

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Define a complete lattice, Define a complete lattice and give one example. ...

Define a complete lattice and give one example. Ans:  A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound

Evaluate the mean of temperatures, Evaluate the mean of temperatures: ...

Evaluate the mean of temperatures: Example: Given the subsequent temperature readings, 573, 573, 574, 574, 574, 574, 575, 575, 575, 575, 575, 576, 576, 576, 578 So

Determine the quotient and remainder , Let a = 5200 and b = 1320. (a) If...

Let a = 5200 and b = 1320. (a) If a is the dividend and b is the divisor, determine the quotient q and remainder r. (b) Use the Euclidean Algorithm to find gcd(a; b). (c)

Trigonometry, if tan theta =1,find the value of sin4 theta + cos4 theta

if tan theta =1,find the value of sin4 theta + cos4 theta

Find a general solution to the differential equation, Example: Find a gene...

Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe

Describe the types of triangles, Describe the Types of triangles ? Tria...

Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An

An even function, Assume that   i)  Determine all the roots of f...

Assume that   i)  Determine all the roots of f(x) = 0. ii)  Determine the value of k that makes h continuous at x = 3. iii)  Using the value of k found in (ii), sh

Show that the ratio of the volume of the sphere, A sphere and a cube have e...

A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans:    S.A. of sphere = S.A of cube    4π r 2

Test of hypothesis on proportions, Test Of Hypothesis On Proportions It...

Test Of Hypothesis On Proportions It follows a similar method to the one for means except that the standard error utilized in this case: Sp = √(pq/n)  Z score is computed

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