determine wether or not the function f,where
f(x) = { ((2x + 1, 0≤ x <2)),((7−x, 2 ≤ x < 4)),((((3x)/4) , 4 ≤ x < 6)) :}
is continuous in the interval [0,6[
let f(x) = ((tanx)/(tan2x)) . Find the points of discontinuity
of f on [0,2π] and determine wether each duscontinuity is
a point discontinuity,a jump discontinuity,or a vertical asymtote
Determine the value of a and b fir which the function f,defined by
f(x) = { ((−2sinx, x < −(π/2))),((asinx + b,−(π/2) ≤ x < (π/2))),((cosx, x > (π/2))) :}
is continouos
expressf(θ)= 8cosθ −15sinθ in the form
rcos(θ + α), where r>0 and α is a positive acute angle
hence
find the general solution of the equation
80cos θ −150sinθ = 13
the maximum and minimum value of (5/(f(θ) + 3))
Given that the function f(x)= x^3 is differentiable
in the interval (−2,2), Use the mean value theorem
to find the value of x for which the tangent to the curve
is parallel to the chord through the point (−2,8) and (2,8)