Your family will be attending a
family reunion at a particular beach
resort. To avoid hassle, you consider
renting a car that charges a flat rate
of P2 000 plus P150 per kilometer.
Write a piecewise function that
model the situation.
let S_p =Σ_(n=0) ^∞ cos(((nπ)/p)) and W_p =Σ_(n=0) ^∞ sin(((nπ)/p)) with p natural integr not0
1) find a simple form of S_p and W_p
2) find the value of Σ_(n=0) ^∞ cos(((nπ)/3)) and Σ_(n=0) ^∞ sin(((nπ)/3))
3) find the value of Σ_(n=0) ^∞ cos(((nπ)/5)) and Σ_(n=0) ^∞ sin(((nπ)/5))
4) calculate A =Σ_(n=0) ^∞ cos^2 (((nπ)/3)) and B =Σ_(n=0) ^∞ sin^2 (((nπ)/3)) .
Thd local barangay recieved a budget of 150000 to provide medical check−ups for the children in the barangay. Write an equation representing the relationship of the alloted money per child.
Heat is supplied at a rate of 500W
to a pressure cooker containing
water and fitted with a safety
valve.Steam escape such that
water is lost at 12g/min.If the
heat is supplied at 900W,water is
lost at 20g/min.Calculate the
specific latent heat of steam.
How much sweat must evaporate
from the surface of 150kg of human
body to be able to cool the human
by 2°C.(assume C=3.35J/g/K for
human and L=2.5mJ/kg for
water at body temperature)
let f(a) = ∫_(−∞) ^(+∞) cos(ax^2 )dx with a>0
1) calculate f(a) interms of a
) calculate ∫_(−∞) ^(+∞) cos(2x^2 )dx
3) find the value of ∫_(−∞) ^(+∞) cos(x^2 +x+1)dx .
let f(x) = ∫_(−∞) ^(+∞) ((cos(xt))/((t−i)^2 )) dt
1) let R =Re(f(x)) and I =Im(f(x)) extract R and I
2) calculate R and I
3) conclude the value of f(x)
4) calculate ∫_(−∞) ^(+∞) ((cos(2t))/((t−i)^2 ))dt
5) let u_n = ∫_(−∞) ^(+∞) ((cos((t/n)))/((t−i)^2 ))dt (n natral integer not o)
find lim_(n→+∞) u_n and study the convergence of Σu_n
Let P be an interior point of a triangle
ABC and AP,BP,CP meet the sides BC,
CA,AB in D,E,F respectively. Show
that ((AP)/(PD))= ((AF)/(FB)) + ((AE)/(EC)) .