SinfulThanatos

How much work, in joules, is done when the pressure is suddenly released from 4.56 atm to 1.23 atm on 45.4 g of O2 at 45 degree C? Apparently the answer is -2.73*10^3 Joules, but I'm not sure how to get that. Could someone please explain it to me. Thank you.

Find the points on x^2 -4x+3 at which the normal line passes through the point (2,0)

f is the piecewise defined function:f(x) =

1 + x^2 if x is irrational

1 + 4x^4 if x is rational.

Use the Squeeze Theorem to find limx→0 f(x).

Note: Enter the missing values in their decimal form.

Pick the choices and enter a value where the question marks are for Part A and B to complete the solution

Solution: Clearly, for all real numbers x, f(x) ≥ 1.

Next, we note that for a real number x,

x^2- 4x^4= x^2(1 − 4x^2) ≥ 0

Part A: Pick one of the choices and fill in the question marks.

if and only if

Choices:

1) xˆ2

2) 4xˆ2-1

3) 1-4xˆ2.

≥ 0. This means that x^2≥ 4x^4

if and only if x ∈ [?,?]

Part B:

Particularly, we get that for all

Choices:

1)rational

2) irrational.

numbers x in [ ?,? ] we have

f(x) = 1 + 4x^4≤ 1 + x^2

Therefore, for all x ∈ [? ,? ], we have that

1 ≤ f(x) ≤ 1 + x^2

.

if i have 7 computers

with 2 defective units

the chances of me getting 3 non defective computers if they're chosen at random?

Select the rate that is defined by each statement. (Match the letters to the numbers)

A compound rate

B nominal rate

C simple interest

D compound interest

E annual rate

F effective rate of interest

G none of the above

1. The interest calculated only on a principal over time.

2. The interest rate stated per compounding period.

3. The interest that is earned continuously and added to

the principal and then collects interest itself continuously.

4 The simple rate of interest that yields the same future

amount after one year as the nominal rate compounded m

times.

5. The interest that is earned and added to the principal

and then collects interest itself.

As part of a one payment scholarship, you can choose between option A: receive $5000 now (which means you can put it into your savings account and earn interest), and option B: wait two years and receive an additional $277 (which means you are not collecting interest). Assume that money can be invested at 3% compounded semi-annually.

Calculate the rate of interest per compounding period:

Calculate the future amount under option A:

Calculate the future amount under option B:

Why one should you chose?

How you link two CSS to one website so that "the visitor visiting your web page must be able to indicate to the web browser which of your 2 CSS stylesheets it must use when displaying your web page?"

Jane took 100 mg of a drug in the morning and another 100 mg of the same drug

at the same time the following morning. The total amount of the drug in her body t

days after the first dosage was taken is given by

A(t)=100e^(-1.4t) if 0<=t<1 or 100(1+e^(1.4)e^(-1.4) if t>=1

What was the amount of drug in Jane’s body immediately after taking the second

dose? After 2 days? In the long run?

Suppose k is a constant. Show that if we apply Newton’s method to the equation x^2 - k=0, we get the iterative formula xn+1=1/2(xn+k/xn) for finding the square roots. Pls tell me how you get to the answer.

A manufacturer has found that when n employees are working, the number of unites of product produced per day is q = 10*sqrt(n^2+3600) - 6000. The demand equation for the product is 9q +p^2-7200 = 0, where p is the selling price in dollars when the demand for the product is q units per day.

a) Determine the manufacturers marginal revenue MR when n = 80, i.e. the relative rate of change of revenue with respect to the number of units produced per day.

b) Determine the manufacturers revenue product MRP when n = 80, i.e. the relative rate of change of revenue with respect to the number of employees when n = 80

c) Suppose it would cost the manufacturer $400 more per day to hire an additional employee. Would you advise the manufacture to hire the 81st employee? Why?

A folium of Descartes is given by x^3+y^3 = 27/2xy

a) Find the integer value of y for the point on the curve when x=6

b) Use implicit differentiation to find the slope of the tangent line at the point in part a)

c) Write the equation of the tangent line to the curve at the point in part a).

Find an equation of the tangent line to the graph of the function: ((x^1/2)(5-4x^2))/x when x=9 Answer: we note that, when x=9, the corresponding point on the graph is given by (9, f(9))=(9, ______) and the slope of the tangent line is f ' (9) = ________. Therefore the equation of the tangent line is y=_________

Lim x-->1: (x^47 - 1)/(x^9 - 1) Pls explain how you got to the answer