The radioactive decay of a certain element can be described by the equation A = C_r - 0.000278t, where C is the original amount of the element and A is the amount of the element remaining after t years. If 7 milligrams of the element are sealed in a container.
The quarterly sales volume (in thousands of dollars) for a manufacturer of snow skis is seasonal (there tend to be more skis sold during fall and winter months than during warmer months). The following table shows the quarterly seasonal indexes for the company's sales: Using several years of sales data,.
the sum of 2 non negative numbers is 20.
find the numbers:
A) the product of a non negative number and the square root of the other is equal to 20.
B) the sum of a non negative number plus the.
The series nkrn converges when 0 < r < 1 and diverges when r > 1. This is true regardless of the value of the constant k. When r = 1 the series is a p-series. It converges if k < - 1 and diverges otherwise. Each of the series.
The production function for a company is given by f(x, y) = 100x^0.25y^0.75 where x is the number of units of labor (at $72 per unit) and y is the number of units of capital (at $36 per unit). The total cost for labor and capital cannot exceed $100,000. (a).
Find the first three terms of the Taylor series expansion of the following function, f(X), around X = [x y]T= [1 3]T: f(X) = x2-2y2-3xy+5 Also, find the stationary points of f(X).
The problem is provided below (v)
(^) The steps we use to solve the problem above is shown below.(v)
I provided an example in pic below may you help me solve problem (1) which is above like this example with visal and detail too.
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The rate constants of some reactions double with every 10 degree rise in temperature. Assume that a reaction takes place at 340 K and 350 K. What must the activation energy be for the rate constant to double as described?.
The resumes of 2 male applicants for a collage teaching position in chemistry are placed in the same file as the resumes of the remaining of 2 female applicants. Two positions become available and the first, at eh rank of assistant professor, is filled by selecting 1 of the 4.
The production function for a company is given by f(x, y) = 100x^0.6y^0.4 where x is the number of units of labor (at $60 per unit) and y is the number of units of capital (at $48 per unit). The total cost for labor and capital cannot exceed 5100,000. (a).
The standard basis for P_2 (x) is {l, x,x^2}. The standard basis for P_2(x) is {l, x, x^2, x^3} Find the standard matrix representation for the linear map T_2: P_2(x) rightarrow P_3(x) given by T_2(p(x)) Find the standard matrix representation for the linear map D_3: P_3(x) rightarrow P_2(X) where D_3(p(x)).
the quantity of a drug, Q mg, present in the body t hours after an injection of the drug is given is: q = f(t) = 135te^(-.5t) Find f(1), f-prime(1), f(7), and f-prime(7). give units and interpret the answer.
The quantity Squareroot x^23 y^2 is equal to xy for all x, y is equal to -xy when x and y are both negative is equal to -xy when x and y have opposite signs is undefined when either x or y is negative.
The question is (let e stand for epsilon):
"Let A = (1, 3) U { - 4} , so lubA = 3 and glbA = - 4. For each e > 0, find x1 in A such that x1 > lubA - e. Also, for each e.
The rates charged by a local delivery service consist of a fixed cost, F, and a variable rate, r, based on the weight, W, of the package being delivered. Total cost, C, to the customer is determined by the following formula: C = F + rW. If it costs $10.10.
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be: A. 12 years B. 14 years C. 18 years D. 20 years.
The president of Sam's Supermarkets plans to hire two public relations firms to survey 500 customers by phone, 750 by mail, and 250 by in-person interviews. The Garcia firm has personnel to do 10 phone surveys, 30 mail surveys, and 5 interviews per hour. The Wong firm can handle 20.
The sales tax on an item is 8%. Express the total cost, C, in terms of the price of the item, P. Be sure to use the correct case of the variable when entering your expression..
The structure, shown below, composed of metal bars was considered in class. The temperature of the end of each bar is given in the figure. The temperatures x_1,x_2 and x_3 are the averages of the three adjacent temperatures. The system of equations, Ax =b, was shown in class to be:.
The rate of a chemical reaction varies, depending on the initial amount of a certain compound. In general, the reaction rate, V, can be expressed by the following formula, where k is a positive constant, and a is the initial amount of the compound. V(x)= kx(a - x) The positive.
The question is:
"It seems that the streets meet at right angles. This is true...in Euclidian geometry. But it might or might not be true in taxicab geometry. The only way to answer this question is to define what an angle is in terms of the elements.
The radioactive isotope uranium-232 has a half-life of 68.9 years. The decay constant of uranium-232 is If you have 30 grams of uranium-232 to begin with, the equation that describes the radioactive decay is The decay constant of uranium-232 is If you have 30 grams of uranium-232 to begin with,.
The price of an American Airlines ticket to Boston increased to $600. This is a 15 percent increase. What was the old fare? Round to the nearest cent. Select one: a. $510.74 X b. $705.88 c. $400.00 d. $521.74.
The stopping distance d of a car after the brakes are applied varies directly as the square of the speed r. If a car travelling 40 mph can stop in 100 ft, how many feet will it take the same car to stop when it is travelling 32 mph? It.
The rate of auto thefts triples every 6 months. a)Determine, to two decimal places, the base b for an exponential model y = Ab^1 of the rate of thefts as a function of time in months. b)Find the doubling time to the nearest tenth of a month.Please show your work.
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population
has doubled in 4 years, how long will it take to triple? (Round your answer to one decimal place.)
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The question asks
What is the smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine?
So I put 100n2 on the graph as y=100x2, and 2n.
The set of remainders Zn = {0, 1, 2, . . . , n 1} is called a ring when equipped with addition and multiplication modulo n. For example 5 + 6 3 (mod 8). We say that b Zn is an inverseof aZn if ab 1 (mod n).
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The sales at a particular bookstore grew from $2086 million in 2000 to $3855 million in 2005. Find an exponential function to model the sales as a function of years since 2000. Give your answer using the form B0 = Boat. find B0 and a.
The production of ozone-layer damaging Freon in developing countries rose from 200 tons in '04 to a projected 590 in '10. Find a linear and exponential model for the amont F of Freion (n tons) as a function of time t in years since '00..
The strength of a radioactive substance decreases 50% in 30-day period. how long will it take for the radioactivity to decrease 1% of its initial value?.
The steel bar has the original dimensions shown in the figure. If it is subjected to an axial loading of 50 kN, determine the change in its length and its new cross-sectional dimensions at section a-a. E_st = 200 Gpa, V_st-= 0.29..
The Scrumptious candy company makes two brands of candy for vendors: Sweetish, using 4 kilos of flavoring and one kilo of sugar per batch, and SicklySweet, using 2 kilos of flavoring and 3 kilos of sugar per batch. Each day the company has 1,400 kilos of flavoring and 600 kilos.
