You are not logged in.
Pages: 1
Hey everyone! I have a LOT of problems to do by the end of this week and I am stuck on these problems.....if anyone could help me solve these that would be most appreciated. I am just stuck and cannot figure out any of these. I've figured out the other one except these.....
1. Find the indicated limit. Show sandwich inequality.
lim
x→∞ (e-x^3cos x)
2. Solve the problem.
Given f(x) = 8x2, L =200, x0 = 5, and ε = 0.1, find the greatest value for δ > 0 such that 0 < x - x0 < δ ⇒ the
inequality f(x0 - L < ε holds.
3.The driver of a car traveling at 54 ft/sec suddenly applies the brakes. The position of the car is s = 54t - 3t2, t
seconds after the driver applies the brakes. How far does the car go before coming to a stop?
4. Find the second derivative of the function.
r = (1 + 8θ/8θ)(8 - θ)
5.Find dy/dx
e5y = cos (3x +y)
6.Solve the problem.
About how accurately must the interior diameter of a cylindrical storage tank that is 8 m high be measured in
order to calculate the tankʹs volume within 2% of its true value?
7.The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. Find the
dimensions of the strongest beam that can be cut from a 10-in.-diameter cylindrical log. (Round answers to the
nearest thosandth.)
8.Solve the equation using Newtonʹs method.
e-x = 5x - 2 , x0 = 1
9.Find the formula and limit as requested.
For the function f(x) = 9 - 2x2 , find a formula for the right sum obtained by dividing the interval [0, 1] into n
equal subintervals. Then take the limit as n→∞ to calculate the area under the curve over [0,1].
10. Answer the question appropriately?
Find the area of the ʺtriangularʺ region in the first quadrant that is bounded above by the curve y = e3x, below
by the curve y = ex, and on the right by the line x = ln 3.
I got all of the other problems I just need help with these. PLEASE HELP!!! Thanks~~~~Abby <3
Pages: 1