first problem i'm having is to find what value of the constant c is the function f continuous on (-, )?
i'm not sure how to figure htis one out and all my teacher said was to use the limit laws, kinda puzzled where to start
second problem for me is to find a function g that agrees with f for x a and is continuous at a for:
it's clear that both of them have a removable discontinuity but i don't understand when it asks to find a function g for x a
my third problem is as follows:
For all x > 1 the following inequality is true.
Use this inequality to find the limit.
i have no idea as to where to start for this problem, this is the one i'd really like to figure out the most
my next problem is if the tangent line to y = f (x) at (8,6) passes through the point (0,5), find
(a) f (8)
(b) f ' (8)
and my last problem is this:
A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 3.
f(t) = t -1 - t
for this problem i thought it was simply plug in 3 for t and you'd get the result for speed however that wasn't the case and as for velocity, i'm guessing i'd have to find the derivative of f(t) but i tried to do it and it's not working out as i thought it would
studying for my test and any advice/tips/help would be appreciated.