戰昇的部落格

(1 point) At a restaurant, the density function for the time a customer has to wait before being seated is given by

(1 point)

Consider the integral

(1 point)

Evaluate the integral using the indicated trigonometric substitution.

(

(1 point)

Given that limx→af(x)=0, limx→ag(x)=0, limx→ah(x)=1, limx→ap(x)=∞, limx→aq(x)=∞lim�→��(�)=0, lim�→��(�)=0, lim�→�ℎ(�)=1, lim�→��(�)=∞, lim�→��(�)=∞.

Which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible. Enter I to indicate an indeterminate form, INF for positive infinity, NINF for negative infinity, and D for the limit does not exist or we don't have enough information to determine the limit.

(a) limx→a[f(x)]g(x)=lim�→�[�(�)]�(�)= 

(1 point) Find dy/dx��/�� by implicit differentiation.

dydx=����= 

(1 point)

Find the equation of the tangent line to the curve y=xx√�=�� at the point (16,64)(16,64).

y=�= 

(1 point) Match the graph of each function in A through D with the graph of its derivative 1 through 4 below.

A		B
C		D

(1 point)

For the function g� whose graph is given, state the following. (If the answer is positive infinite, type "I"; if negative infinite, type "N"; and if it does not exist, type "D".)

(a)limx→∞g(x)(d)limx→0g(x)(b)limx→−∞g(x)(e)limx→−2+g(x)(c)limx→3g(x)(�)lim�→∞�(�)(�)lim�→−∞�(�)(�)lim�→3�(�)(�)lim�→0�(�)(�)lim�→−2+�(�)

(1 point)

Why is the following function discontinuous at x=0�=0?

(1 point)

Evaluate the limit, if it exists. If not, enter "n" below.

limt→99−t3−t√lim�→99−�3−�

(1 point) Let F be the function below.

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(1 point)

If a ball is thrown into the air with a velocity of 40 ft/s, its height in feet after t� seconds is given by y=40t−16t2�=40�−16�2.

(a) Find the average velocity for the time period beginning with t=2�=2:
(1) .5 second