Multivariable Calculus Examples: Learn Complex Calculus Problems

College
Calculus and Analysis
Multivariable calculus

Recent questions in Multivariable calculus

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.

Edmund Conti 2021-11-13

To evaluate: The terminal velocity from a graphical analysis.

Serotoninl7 2021-11-13

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
$y = 140 t + \frac{1}{2} t^{2} - t^{3}, 0 \leq t \leq 8$
a) After how many hours will the hourly number of units be maximized? hr
b) What is the maximum hourly output? $\frac{u n i t s}{h r}$

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.

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?

dailinoyf 2021-11-12

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.
$\begin{array}{cc} D a y & S u n & M o n & T u e s & W e d & T h u r s & F r i & S a t \\ F r e q u e n c y & 160 & 203 & 225 & 240 & 176 & 211 & 235 \end{array}$
Determine the null and alternative hypotheses.
$H_{0}$ Police calls occur with the same frequency on the different days of the week.
$H_{1}$ At least one day has a different frequency of calls than the other days.
Calculate the test statistic, $x^{2}$

Michael Dennis 2021-11-12

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
$y = 24 t + 0.5 t^{2} - t^{3}, 0 \leq t \leq 5$ .
(a) Find the critical values of this function. (Assume
$- \infty < t < \infty$
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 $0 \leq t \leq 5$ , is yincreasing? (Enter your answer using interval notation.)

khi1la2f1qv 2021-11-12

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.

vousetmoiec 2021-11-12

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

Falak Kinney 2021-10-09

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.

sagnuhh 2021-10-06

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

pancha3 2021-10-04

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

Josalynn 2021-10-04

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.

Falak Kinney 2021-10-03

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)?

Emeli Hagan 2021-10-03

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.

iohanetc 2021-10-03

Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historically, Lori obtains a book adoption on $36 %$ of her sales calls. Viewing her sales calls for one month asa sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.08.
(1) How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?
(2) Using the sampling distribution of P, compute the probability that Lori will obtain book adoptions on 46% or more of her sales calls during a one-month period. (Round your answer to four decimal places.)

Anish Buchanan 2021-10-02

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

Ava-May Nelson 2021-09-30

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

As you start exploring calculus and analysis, you will encounter multivariable calculus equations that are self-explanatory as well because all of them will contain at least two questions related to each variable being involved. See our multivariable calculus examples to receive more help and information regarding how these are used. The answers to solving these multivariable calculus questions should be based on finding the deterministic behavior. These are used in engineering and those fields where the parametric equations solver will provide you an optimal control of time dynamic systems. As an interesting subject, applying at least one equation in practice will keep you inspired!

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