Question Use undetermined coefficients to find the particular solution to y'' – 3y' + 5y = 6t² + 9t + 4 yp(t) = Preview Get help: Video Points possible: 1 This is attempt 1 of 2 Post this question to forum

Let A equal the set of all strings of 0's, 1's, and 2's that have length 4 and for which the sum of the characters in the string is less than or equal to 2. Define a relation R on A as follows:For every s, t ∈ A, s R t  ⇔  the sum of the characters of s equals the sum of the characters of t.It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)

Underground water as shown Figure 2 is to be pumped by a 78%-efficient 5 kW submerged pump to a pool whose free surface is 30 m above the underground water level. The diameter of the pipe is 7 cm on the intake side and 5 cm on the discharge side. Determine i. The maximum flow rate of water. ii. The velocity of the water through the pipe at the discharge side. Assume the elevation difference between the pump inlet and the outlet and the effect of the kinetic energy correction factors to be negligible. Pool 30 m Figure 2

3.17. Consider the following relations for a database that keeps track of automobile sales in a car dealership (OPTION refers to some optional equipment installed on an automobile): CAR(Serial_no, Model, Manufacturer, Price) OPTION(Serial_no, Option_name, Price) SALE(Salesperson_id, Serial_no, Date, Sale_price) SALESPERSON(Salesperson_id, Name, Phone) First, specify the foreign keys for this schema, stating any assumptions you make. Next, populate the relations with a few sample tuples, and then give an example of an insertion in the SALE and SALESPERSON relations that violates the referential integrity constraints and of another insertion that does not.

The Anderson County board of supervisors has agreed to fund an ambitious project that will spend money now to save much more money in the future. A total of $16.2 million will be awarded to the York Corporation for energy improvements in 40 buildings, 27 parks, and 37 traffic intersections. These improvements include lighting upgrades, solar hot water collectors, more efficient heating/cooling systems, and light-emitting diodes for traffic signals. Bonds paying 7% per year over the next 15 years will be used to pay for these improvements. If the annual savings fail to average $2 million, York Corporation will reimburse the county the difference. Will York need to pay any money to the county? If so, how much?

Problem 5. [15 pts) Work out the curl of integrand F in the following line integrals to determine whether it is path independent. If yes, find out the corresponding potential function f and calculate the integration from (0, 0, 0) to (a, b, c). (a) [5 pts) Sexydx + x2ydy + 6zędz (b) [10 pts] Sc sin(x2 + 2y2 + z2) (2xdx + 4ydy + 2zdz)

 The area bounded by the curve y^2 = 12x and the line x = 3 is revolved about the line x =3. What is the volume generated? Show full solution