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Recent questions in Multivariable functions

Antinazius 2021-11-15

Equilibrium Price: Skateboards
The demand for your factory-made skateboards, in weekly sales, is
$q = - 7 p + 50$
If the selling price is $p. If you are selling them at that price, you can obtain
$q = 3 p - 30$
Per week from the factory. At what price should you sell your skateboards so that there is neither a shortage nor a surplus? (Round your answer to the nearest cent.)

Coroware 2021-11-15

The analysis of tooth shrinkage by
Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. In about how many years will human teeth be 90% of their present size?

aidmoong7 2021-11-15

Determine whether the statement, I analyzed simple harmonic motion in which the period was 10 seconds and the frequency was 0.2 oscillation per second, makes sense or does not make sense, and explain your reasoning.

osi4a2nxk 2021-11-15

The electrical currents flowing in the antennas, during an MR imaging scan are given by:
$3 i_{3} + 3 i_{1} - 5 i_{2} = 7.5$
$i_{2} - 7 i_{3} + 2 i_{1} = - 17.5$
$- 10 i_{1} + 4 i_{2} + 5 i_{3} = 16$
1. Write the above system of equations in the form $A x = b$ , where A is a 3 by 3 matrix and x and b are 3 by 1 vectors.
2. Find the determinant of A.
3. Determine $i_{1}, i_{2}$ and $i_{3}$ by using Gaussian elimination.

chanyingsauu7 2021-11-14

How many independent variables are there in simple linear regression analysis?
1
2
3
As many as the analyst wants

zachutnat4o 2021-11-14

At HD Sport and Fitness gym, analysis shows that, as the demand of the gym, the number of members is 86 when annual membership fee is $25 per member and the number of members is 84 when annual membership fee is $33 per member. As the operator of the gym, you found out that number of members (q) and membership fee (p) have a linear relationship.
A) At what membership price, p , is the revenue maximized?
$p =$
Round your answer to 2 decimal places.
B) What is the maximum annual revenue?
$R =$ .
Round your answer to 2 decimal places.

ambiguit 2021-11-14

Explain how to find the limit of the identity function $f (x) = x$ . Then express your written explanation using limit notation.

smismSitlougsyy 2021-11-14

The half-life of C-14 is about 5730 yr.
a) Archaeologists find a piece of cloth painted with organic dyes. Analysis of the dye in the cloth shows that only $77 %$ of the C-14 originally in the dye remains. When was the cloth painted?
b) A well-preserved piece of wood found at an archaeological site has 6.2% of the C-14 that it had when it was alive. Estimate when the wood was cut.

Douglas Kraatz 2021-11-14

Let $f (x) = x^{3} - 6 x^{2} - 15 x + 23$
a) Perform a full sign analysis on $f (x) :$ find its zeroes, and determine its sign on each interval.
b) Use the information in (2) to determine intervals of concave up / concave down for f.
c) Find the coordinates (x, y) of the inflection point(s) of f.
d) Find the absolute maximum and minimum values of f on the interval $[0, 7]$ . Justify your answer with appropriate calculus work.

pavitorj6 2021-11-14

Define Clairaut equation?

gainejavima 2021-11-14

Approximate the define integral using the Trapezoidal Rule and Simpson's Rule with $n = 4$ . Compare these results with the approximation of the integral using a graphing utility. (Round your answers to four decimal places.)
$\int_{9}^{9.1} \cos (x^{2}) d x$

sonkitty2h 2021-11-14

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
$y = 102 t + 12 t^{2} - t^{3}$
$0 \leq t \leq 8$
a) After how many hours will the hourly number of units be maximized?

vousetmoiec 2021-11-14

Use Newton's Method to determine $x_{1}$ and $x_{2}$ for the function $f (x) = x^{3} - 7 x^{2} + 8 x - 3$ and the value of $x_{0} = 5$

xnlghtmarexgo 2021-11-14

An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows that the number of passengers using the airport can be modeled by the function
$P (x) = 134 x^{3} - 8335 x^{2} + 138, 607 x + 222, 284$
where x represents the number of years since 1980 and the domain is $[0, 40]$
a) At what rate was passenger traffic changing in 2000? Dont

kiki195ms 2021-11-14

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance. If the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics

veudeje 2021-11-13

Find the interval of convergence of the power series and check for convergence at the endpoints.
$\sum_{n = 0}^{\infty} \frac{x^{3 n + 1}}{(3 n + 1)!}$

tapetivk 2021-11-13

A group of preschooters has 63 boys and 27 girl. What is the ratio of boys to all children?

ukelangf0 2021-11-13

The profit function for an operation is given by
$P (x, y) = 2200 + 24 x - x^{2} + 80 y - y^{2}$
where x is the cost of a unit of labor and y the cost of one item. Find the maxBimum amount of profit that can be generated from this operation. Itis necessry to do a prospective analysis of the profitability of this operation. Determine the approximate increase or decrease in profit if the units of labor increases from 12 to 13 while the price of an item remains the same at 40. Also, what if the labor remains steady at 12 but the price increase from 40 to 41?

Edmund Conti 2021-11-13

To evaluate: The terminal velocity from a graphical analysis.

Liesehf 2021-11-13

Find the volume of the solid generated by rotating about the x-axis the region bounded by
$y = 4^{x}, x = - 3, x = 3$
and the x-axis.

The multivariable function is related to regression analysis, which may be a bit challenging for college students as they implement estimation for the various data sets. Keeping all these challenges in mind, we aim to provide you with the answers to the most popular problems and questions where a helpful multivariable function example will be of help. You should also focus on each multivariable question by starting with analysis and proper calculation of each variable as you exchange various practical sets. The purpose is to remove the constraints of single variables as you add any calculations.

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