Find the domain of the following: 1) g(x)=5^x Explain how you obtained your answer. 2) g(x)=1n(x-4) Show your work or explain how you obtained your answer. 3) g(t)=log(t+2) Explain how you obtained your answer. 4) f(t)=5.5e^t Show your work or explain how you obtained your answer.
Complete the equation of the line L satisfying each of the following sets of geometric conditions by determining the values of b1 and bo. 1. L has a slope of ¾ and x-intercept of (-4,0), y=b1x+bo b1= bo= 2. L passes through (2,1) and is perpendicular to the line with the equation 3x-2y=5, y=b1x+bo b1= bo= 3. L p
It is given that that a Fourier Cosine series of teh function f(x) is given by (see file) A PDE is given by: u_t = u_xx 0<x>Pi t>0 With boundary conditions: u_x(0,t) = u_x(pi, t)=0 1. Determine all the solutions of the PDE that satisfy these boundary conditions. 2. find teh solution that satisfies in additi
Please see the attached file for the fully formatted problem. Solve the heat equation u_t =a^2 * u_xx for 0<x<L under the conditions: u(0,t)=1 u(L,t)=2 u(x,0)=0 Solve this problem by converting this problem into a problem with homogeneous boundary conditions. Show that as t approaches infinity the solution ap
Solve for the following items: a. The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2). b. The distance between the points (6,4) and (18,4). c. The distance between the points (1,4) and (19,6). d. The midpoint between (12, 6) and (18, 4) e. The midpoint between (-6, -8) and (23, 5)
MTH133 Unit 4 - Individual Project Name: 1) State the domain of the following: a) Answer: b) Answer: c) Answer: d) Answer: e) Answer: 2) Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph? a)
Question. Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickles but three times as many quarters as dimes. The total of coins was $11.40. how many coins of each did Sam find?
Please help to find the way to estimate the number of grubs in a lawn, that contains an average of 3.8 grubs per square foot, and the lawn in a rectangular shape measures 60.4 ft by 80.2 ft. What formula do I use?
A company is considering an investment in a machine that costs $54,000 and would result in cash savings of $15,000 per year for 5 years. The company's cost of capital is 10%. Compute the Net Present Value.
For Xsubn given by formulas establish either the convergence or the divergence of the sequence X=Xsubn Xsubn= n/(n+1) Xsubn= 2n^2+3/(n^2+1) find the limits of the following sequences: lim((2+ 1/n)^2)) lim((-1)^n/(n+2)) lim((n^1/2)-1)/((n^1/2)+1)) lim((n+1)/(n(n^1/2))) establish the convergence and find the limits o
Demand for pool. Tropical pools seals an above ground model for p dollars each The monthly revenue for this model is given by the formula R(p)= -10.08^2 + 300p. Revenue is the product of the price p and the demand (quantity sold) R(p) = -10.08p^2 + 300p a. Factor out the price on the right hand side of the formula b.
Define the generalized quaternion group by the presentation Q_n = < a,b|a^2n=1, b^2=a^n, ab=ba^-1 > for n >=1 Show that |Q_n|=4n Show that Q_1 is cyclic and Q_2 is the quaternion group Show that Q_3 is not isomorphic with either the dihedral group D_6 or the alternating group A_4
Write an expression for your classmates to simplify using at least three of the following: Groupings (parenthesis, brackets, or braces) Exponents Multiplication or division Addition or subtraction 3 + 6 x (5 + 4) ÷ 3 - 7.
Complete Metric Spaces. Problem 4: By the diameter of a subset A of a metric space R is meant the number d(A) = sup p(x,y) where x,y are real numbers of A Suppose R is complete, and let {A_n} be a sequence of closed subsets of R nested in the sense that a_1 is a superset of A_2 is a superset of .... A_4 is a supe
The financial institution has asked your firm to place some spot advertisements. The financial institution wants you to find the best allocation of ads between 2 of the local media outlets. The company you have chosen to handle the transaction has estimated the average number of potential new customers reached per spot annou
MTH133 Unit 5 - Individual Project Name: 1) Find the domain of the following: a) Answer: Show your work or explain how you obtained your answer here: b) Answer: Explain how you obtained your answer here: c) Answer: Show your work or explain how you obtained your answer here: d) A
See attached for question. Prove that A(S) has the following universal property....
Please see the attached file for the fully formatted problems. ? If a problem begins with units, the final answer should also include the proper units. ? Review all your work before submitting this Project. Typographical errors, incorrect formatting, typing words Where symbols belong, and so on, are all mistakes and will be
Please give me an explanation as if explaining to a child for this problem. My questions are in Red. Instructions Solve for How did they calculate 20?? And Why is it solved this way??
1 problem please solve Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the
You belong to a wholesale buying club. You can order items from the club with a markup of 8% over the wholesale price. A local retail store, which gets its merchandise at the same wholesale price, offers to sell you those same items at 10% off the shelf price. What does the retail store's markup have to be for it to be cheaper f
You want to explain 2+ 4 + 6 + . . . + 2n = n (n + 1), to a class of students with diverse learning styles. Use the Four-Step Problem-Solving Process: 1) State the problem in words. 2) What are you trying to find? 3) What are the unknowns? 4) What information do you obtain from the problem? 5) Gi
One serving of Cornie breakfast cereal contains 2 grams of protein and 25 grams of carbohydrate. One serving of Oaties breakfast cereal contains 4 grams of protein and 20 grams of carbohydrate. How many servings of each would provide exactly 24 grams of protein and 210 grams of carbohydrate? please show calculation
Let A, B, and C be any three sets and consider the sentence: If A ∩ B = A ∩ C then B = C. (a) Prove in detail that this statement is false. (Give a counterexample.) (b) Write the converse of the above statement and show through an example that it is true (no proof is necessary).
There were 4.91 liters of solution B available in the science lab. Wayne used 0.87 of that amount. By rounding to the greatest place, estimate how many of liters he used? Please show all steps used.
1.) Show that Z(II_alpha G_alpha)=II_alpha Z(G_alpha) 2.) Show that (G_1 x G_2 x ... x G_n)' = G'_1 x G'_2 x ... x G'_n 3.) Under what circumstances is G_1 x G_2 x ... x G_n solvable? Note that II_alpha is the product over all alpha of an index set.
Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. (You may type cuberoots as cbrt(x) and show raising to the nth power as ^n, like x^3.) Find x: a) (1/4) = 3 - (2x-1)/(x+2) b) x^(2/3) = 125 c) cbrt(x) - 4 = 2 2) Solve algebraically and chec
Wild Cat Petroleum Company has struck oil on their latest drilling project in central Africa. You are responsible for developing a minimum cost schedule to bring the first wellhead into production. Unfortunately, local workers are not available due to the continuing unrest in the surrounding territory (a lingering civil war).
Question Jane Manning, an outside business woman, uses her car for both business and pleasure. Last year, she traveled 30,000 miles using 900 gallons of gas. Her car gets 40 miles per gallon on the Highway, and 25 mpg in the city. She can deduct all highway travel, but no city travel, on her taxes.
A local horse rancher died early one morning and his will bequeathed his herd of racehorses to his three sons. The will specified that the herd must be divided exactly; and 1/2 of the horses should go to the eldest son, 1/3 of the horses to the second son, and 1/9 of the horses to the youngest son. Unfortunately for the sons at