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Check whether the function f, defined by
f(x) = cos x - cos 3x, is periodic or not.
f(x) = cos x - cos 3x, is periodic or not.
Find the area of the loop of the curve,
x (x^2+ y^2) = a (x^2- y^2).
x (x^2+ y^2) = a (x^2- y^2).
Trace the curve :
y^2(x+1) = x^2 (3-x),
Clearly stating all the properties used for
tracing it.
y^2(x+1) = x^2 (3-x),
Clearly stating all the properties used for
tracing it.
Trace the curve 4y 2 = x2(x2 + y2). Also, clearly 10
state all the properties you have used for tracing
it.
state all the properties you have used for tracing
it.
Find the volume of the solid generated by 5
the revolution of the curve (a — x)y^2= a^2x,
about its asymptote.
the revolution of the curve (a — x)y^2= a^2x,
about its asymptote.
Trace the curve y(a^2+ x^2) = a^2x Clearly stating
all the properties used in the process.
all the properties used in the process.
Prove that In (1 + x) < x for all x > 0.
Check whether the function f, defined by :
f (x)= cos 2x + tanx,
is periodic. If so, find its period. If f is not
periodic, define a functioning, such that
f — g is periodic.
f (x)= cos 2x + tanx,
is periodic. If so, find its period. If f is not
periodic, define a functioning, such that
f — g is periodic.
Revenue flow into a fund at a rate of f(x)=8000x and x denote time in years.if the money flows into the fund over 4 years period is compounded continuously at the rate of 10%,find present and future value
find lim x → ∞ [{√x+(√x+√x)} - √x]
