Please can someone help with a
simplier method of solving this question
Q1;
Given that the expression x^3 +x^2 −4x +5
and x^3 +3x−7 leave same remainder
when divided by (x−a) find the possible
values of a
In a region an electric field exist in a given
direction and it passes through a circle
of radius R normally. The magnitude
of electric field is given as :
E = E_0 (1− (r/R)). where r is the distance
from centre of circle .Find electric
flux through plane of circle within it.
please is there any general way for
calculating the error or uncertainty
in g when
m=((4π^2 )/g) where m=slope and
g=acceleration due to gravity
please help
let consider the serie Σ_(n≥1) sin((1/(√n)))x^n
1) find the radius of convergence
2)study the convergence at −R and R
3) let S(x)its sum study the continuity
of S
4) prove that (1−x)_(x→1^− ) S(x)→0
let give S(x)=Σ_(n≥0) (((−1)^n )/(√(x+n))) ,x>0
1)study the contnuity ,derivsbility,limits
at 0^+ and +∞
2) we give ∫_0 ^∞ e^(−t^2 ) dt =((√π)/2) .prove that
∀ x>0 S(x)=(1/(√π)) ∫_0 ^∞ (e^(−tx) /((√t)(1+e^(−t) )))dt .