Math Answers

{F} A company A lended some day 19006 € to the company B. The interest rate was agreed to be 10 % annually. Later on, the company B paid back to the company A 19483 €. How long was the loan period in calendar days?

Which of the following looks most like an F distribution?

{F} Find the solution of

(D^3+3D^2-4)y=0

{F} check,whether the collection G,given by:

G'={]1/n+2,1/n[:n€N}

is an open cover of ]0,1[

{F} Construct a relation on the set {a, b, c, d} that is a. reflexive, symmetric, but not transitive. b. irreflexive, symmetric, and transitive. c. irreflexive, antisymmetric, and not transitive. d. reflexive, neither symmetric nor antisymmetric, and transitive. e. neither reflexive, irreflexive, symmetric, antisymmetric, nor transitive.

{F} How many ways can we get an even sum when two distinguishable dice are rolled ?

{F} Y(4x+y)dx-2(x^2-y)dy=0

{F} 2. Find the particular solution of the differential equation 1 − cos(2t) dx/dt = x sin(2t) given that x(π/2) = 2.

{F} Calculate the approximate value of 10 to four decimal places by taking the first four

terms of an appropriate Taylor’s series.

{F} test the series : infinity sigma n=1 (-1) ^n-1 sin nx/n√n for absolute and conditional convergence