Expert Help with Multivariable Function Questions

Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y produced after t hours of production is
${\displaystyle y=140t+\frac{1}{2}{t}^2-t^3,0\le t\le 8}$
a) After how many hours will the hourly number of units be maximized? hr
b) What is the maximum hourly output? ${\displaystyle \frac{units}{hr}}$

For the following function
${\displaystyle y=2x^3+3^2-12x-5}$
Find:
a) its first and second derivative

True or false? If the statement is false, use one or two sentences to justify your answer.
Assuming that other factors are constant, a correlation of r=-0.95 will result in less accurate predictions than a correlation of r=+0.70.
In regression analysis, at least an actual (observed) data point is located on the regression line.

Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is
${\displaystyle y=24t+0.5t^2-t^3,0\le t\le 5}$ .
(a) Find the critical values of this function. (Assume
${\displaystyle -\mathrm{\infty }<t<\mathrm{\infty }}$
Enter your answers as a comma-separated list.)
t=
(b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.)
t=
(c) For which values of f, for ${\displaystyle 0\le t\le 5}$ , is yincreasing? (Enter your answer using interval notation.)

A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis?
Calculate the test​ statistic, chi squared.
$$\underline{\begin{array}{cccccccc}Day& Sun& Mon& Tues& Wed& Thurs& Fri& Sat\\ Frequency& 160& 203& 225& 240& 176& 211& 235\end{array}}$$
Determine the null and alternative hypotheses.
${\displaystyle H_0}$ Police calls occur with the same frequency on the different days of the week.
${\displaystyle H_1}$ At least one day has a different frequency of calls than the other days.
Calculate the test statistic, ${\displaystyle x^2}$

For a marketing analysis,you want to 125 people how they like the colours red,green and blue.After your questions,your questions,you discover that. 55 people like red. 60 people like blue. 50 people like green.

Suppose that
the point spread for a particular sporting event
is 10 points and that
with this spread you are convinced you would have
a 0.60 probability of
winning a bet on your team. However, the local bookie will
accept only a
$1000 bet. Assuming that such bets are legal, would you bet
on your team? (disregard any commission charged by the bookie.)
Remember that
you must pay losses out of your pocket. Your payoff table is
as follows:
Bet $1000, -1000
Dont

Evaluate the linear equation, ${\displaystyle y=4x-7}$,at the value ${\displaystyle x=2.}$
${\displaystyle y=?}$

For a marketing analysis,you want to ask 125 people how they
like the colours red,green and blue.After your questions,your
questions,you discover that.
55 people like red.
60 people like blue.
50 people like green.

The Orient Express train travels from London,England to Venice,
Italy.A ticket for the trip costs 3 thousand
GBP(Great British pounds). Based on the current exchange
rate of 1 U.S. dollar=0.82GBP, what is the cost in U.S. dollar?
Round to the nearest whole dollar.
Show your calculations,including at least one use of
dimensional analysis.

MacDonald Products, Inc., of Clarkson, New York, has the option of (a) proceeding immediately with production of a new top-of-the-line stereo TV that has just completed prototype testing or (b) having the value analysis team complete a study. If Ed Lusk, VP for operations, proceeds with the existing prototype (option a), the firm can expect sales to be 100,000 units at $550 each, with a probability of 6, and a.4 probability of 75,000 at $550. If, however, he uses the value analysis team (option b), the firm expects sales of 75,000 units at $750, with a probability of .7, and a.3 probability of 70,000 units at $750. Value analysis, at a cost of $100,000, is only used in option b. Which option has the highest expected monetary value (EMV)?

Engineering statistics, i need solutions in 15 minutes please. MCQ/Engineering company has a task of checking compressive strength for 100 concrete cubes. The results revealed that 85 cubes passed the compressive strength test successfully and 15 cubes failed in the test. If 10 cubes are selected at random to be inspected by the company, determine the probability that the 8 cubes will pass the test and 2 cubes will fail in the test by using the Combinatorial Analysis. A-0.6553 B-0.2919 C-0.3415 D-0.4522 E-0.1156

Requires Uploaded Supporting Analysis: Differentiate. ${\displaystyle y={(3x^2+5x+1)}^{\frac{3}{2}}}$

Requires Uploaded Supporting Analysis: Find the second derivative ${\displaystyle \frac{d^{2}y}{{dt}^2.}}$ ${\displaystyle y=\sin t-e^t}$

Requires Uploaded Supporting Analysis:
Find the derivative using the product rule.
${\displaystyle y=e^x\ln x}$

Decision analysis. After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability.2) and lose $3 million if not (probability .8); site B will net $80 million if successful (probability .1) and lose $7 million if not (probability.9). Which site should the company choose according to the expected return from each site?
1. What is the expected return for site A?

Evaluate the definite integrals.Requires a supporting analysis.
${\displaystyle {\int }_0^{9}5\sqrt{x}}$

Engineering company has a task of checking compressive strength for 100 concrete cubes. The results revealed that 85 cubes passed the compressive strength test successfully and 15 cubes failed in the test. If 10 cubes are selected at random to be inspected by the company, determine the probability that the 8 cubes will pass the test and 2 cubes will fail in the test by using the Combinatorial Analysis.
a. 0.4522
b. 0.3415
c. 0.6553
d. 0.1156
e. 0.2919

Use a Numerical approach (i,e., a table of values) to approximate ${\displaystyle \underset{x\to 0}{lim}\frac{e^{2}x-1}{x},}$ Provide support for your analysis (slow the table and explain your resoning).