Calculus Answers

399 - (356 - 248 x (288 - 624)) = ?

Estimate the limit numerically.
lim x→0 x − 20/x − 4

Estimate the limit numerically
lim x→+infinity 9x2 + 6x − 3/ 2x2 − 5x

Show that the length of the curve y=log secx between the points x = 0 and x = π/3 is log⁡(2+√3)

Consider the function Y = x^2 – 2x – 15 and determine the following:
a. Whether the function has a minimum or a maximum
b. Minimum or a maximum value of the function
c. Crossing points of the graph in x axis
d. The intercept

The movement of the crest of a wave is modelled with the equation h(t) = 0.2cos4t + 0.3sin5t. Find the maximum height of the wave and the time at which it occurs.

if y=eax cos3 x sin2 x find dy/dx.

show that the length of the curve y=logsecx between the points x=0 and x=pi is log(2+3^1/2)

fiind the taylors expansion of f(x)= sin x at x=0