Let S{a, b, c, d} be a set of four positive integers. If pairs of distinct elements of S are added, the following six sums are obtained:5,10, 11,13,14,19. Determine the values of a, b, c, and d. (There are two possibilities. )
In: Advanced Math
solve the following differential question with method of undetermined coefficient and the method of variation of parameters
y''+4y=sin(x)-cos(2x)
In: Advanced Math
????????? ?ℎ? ??? ?? ?ℎ? ?????? ?? ?ℎ??ℎ ???ℎ ????? ???????? ?? ??????????:
1) ?(?, ?) = ?−? 4−? 2− ?2
2) ?(?, ?, ?) = ln |? 2 + ? 2 − 6| ???? (? 2 − ? 2 + ? 2)
3) ℎ(?, ?, ?) = √? + 2? − ? ? 2 + ? 2
In: Advanced Math
Find the third moment (find the 3rd derivative and then plug in zero) for the following:
a) ( 1 + p (e ^ t - 1) ) ^ n
b) ( p e ^ t) / ( 1 - (1 - p) e ^ t )
c) ( ( p e ^ t ) / ( 1 - (1 - p) e ^ t ) ) ^ r
d) e ^ ( k ( e ^ t -1) )
In: Advanced Math
The command C = max(A,B) compares corresponding values in the A and B matrices assuming they are the same size. The problem is that MATLAB’s native version does not tell you from which matrix it found the largest value. Write a new function (in MATLAB) [C,from_which] = max_new(A,B) that also output a matrix, the same size as the inputs, with either 1’s or 2’s depending on from which matrix the larger value was found. Include a live script that tests your solution.
In: Advanced Math
The R-rule for oysters is that you should only eat them in months that contain the letter R. Assuming that you like to get oysters on Saturday evenings with your friends write a program that uses the year as an input to determine how many times in that year you can get an oyster dinner and make a list of those dates for that year. Do this in a fully automated way and include a consideration of leap-years. In other words use logical statements to determine if the month has an R in it. Hint: my program is not that long, less than 20 lines, but it uses a separate function that I wrote called isleapyear, that is just a few lines. Also, I changed to format of datestr so that the month is fully spelled out. (Complete in MATLAB)
In: Advanced Math
Finite Math
The Green Company manufactures an electric motorcycle, which it sells through two of its company-owned retail stores. Store A has requested between 40 and 50 motorcycles, inclusive, and Store B has requested between 30 and 40 motorcycles, inclusive. On the basis of previous sales, the Green Company has decided that the number of motorcycles shipped to Store B should equal or exceed 40% of the number shipped to Store A by 20 motorcycles. The shipping costs from the manufacturer to Store A and Store B respectively are $40 and $60 per motorcycle. How many motorcycles should the Green Company ship to each store in order to minimize its shipping costs? What is the minimum cost?
In: Advanced Math
A population of 30 rabbits has been introduced into a new region. It is estimated that the maximum population the region can sustain is 400 rabbits. After 1 year, the population is estimated to be 90 rabbits. If the population follows a Gompertz growth model, how many rabbits will be present after 3 years?
Please show and EXPLAIN steps, thanks!
In: Advanced Math
The population of the United States has grown at different rates over ten-year increments as shown by the following table.
Year | Population of U.S. |
---|---|
1930 | 123.1 million |
1940 | 132.1 million |
1950 | 152.3 million |
1960 | 180.7 million |
If the maximum supportable population of the U.S. is 600 million people, use the logistic model to predict the population (in millions of people) of the U.S. in 2020 by using the following years as data points. (Round your answers to one decimal place.)
(a) using 1930 and 1940 as data points
(b) using 1950 and 1960 as data points
The growth rate from part (a) is ________ (smaller than, larger than, equal to) the growth rate from part (b).
In: Advanced Math
solve the system X'={2 2, 3 1}X+{t 1}. (2 2 in column, 3 1 in column)
In: Advanced Math
In: Advanced Math
Emerson Corporation just completed its first year of operations. Planned and actual production equaled 17,000 units, and sales totaled 15,300 units at $107 per unit. Cost data for the year are as follows:
Direct material (per unit) | $ | 21 | |
Conversion cost: | |||
Direct labor | 544,000 | ||
Variable manufacturing overhead | 459,000 | ||
Fixed manufacturing overhead | 544,000 | ||
Selling and administrative costs: | |||
Variable (per unit) | 23 | ||
Fixed | 356,900 | ||
Required:
In: Advanced Math
Consider the system x'= -y , y' = -x
Sketch the vector field using math-lab.
Please write the code with all the steps. I'm new on math-lab, and I tried to follow some online videos but it did not work right. I have the sketch, but I need the code and the steps to learn it.
Thank you,
In: Advanced Math
Solve the following system of congruences: x ≡ 2 (mod 14) x ≡ 16 (mod 21) x ≡ 10 (mod 30)
In: Advanced Math
P1=4x-z-3, p2=x+2y+z
a) The two planes P1 and P2 will intersect in a line. Find the Cartesian coordinate of the point at which the two planes P1 and P2 intersect and x = 0
b) find the vector equation of a line which is the intersection of the two planes P1 and P2.
In: Advanced Math