Let P(x), Q(x) and R(x) be statements "x is a clear explanation", "x is satisfactory" and "x is an excuse" respectively. Suppose that the universe of discourse for x consists of all English test. Express the following statements using quantifiers, logical connectives and P(x), Q(x) and R(x) a) All clear explanations are satis
Canine Gourmet Super Breath dog treats are sold in boxes labeled with a net weight of 12 ounces (340grams) per box. Each box contains eight individual 1.5 ounce packets. To reduce the chances of shorting the customer, product design specifications call for the packet-filling process average to be set at 43.5 grams. Tolerances ar
True or false. Determine whether the statement is true or false. If false, explain why and give an example that shows its false. 1) If the inverse function of f exists, then the y-intercept of f is an x-intercept of f^-1 (f inverse). 2) There exists no function f such that f = f^-1 (f inverse)
Which of the functions below is increasing for all x-values? f(x) = x - 7 f(x) = x2 - 7 f(x) = x3 - 7 f(x) = x4 - 7
(See attached file for full problem description)
(See attached file for full problem description) 1. Show that the functions d defined below satisfy the properties of a metric. a. Let X be any nonempty set and let d be defined by The d is the call the discrete metric. b. If X is the set of all m-tuples of real numbers and, if for and , then (X,d) is a metric spac
Load ECG data from exercise 1 into MATLAB. Select a segment of recording encompassing at least 10 cycles of the heartbeat. Use Matlab to coherently average 10 cycles to produce a plot of one full cardiac cycle with an improved signal-to-noise ratio. Include plots of the average cycle with labeled axis. Use Matlab to calculat
Manufacturing Cost The weekly production cost C (in dollars) of manufacturing x hand calculators is given by the formula C = 6000 + 8x - x 2 / 1000. What is the cost of producing 1000 hand calculators?
Consider the following system shown in Fig.2 (attached file) in which a PID controller is used to control the system. The PID controller has the transfer function Gc(s) = Kp(1 + 1/Tis + Tds) Design a PID controller for this system using Ziegler-Nichols tuning method for determination of Kp, Ti and Td. Then obtain a unit-
(See attached file for full problem description) --- Use the following table to solve 3 and 4. J0(x) J1(x) Y0(x) Y1(x) 2.4048 0.0000 0.8936 2.1971 5.5201 3.8317 3.9577 5.4297 8.6537 7.0156 7.0861 8.5960 11.7915 10.1735 10.2223 11.7492 14.9309 13.3237 13.3611 14.8974 3. Find the first four α i
Is (√x)^2=x an identity (true for all values of x)? Please explain.
USING THE BESSEL FUNCTION OF ORDER ZERO: Verify that it is the solution to the differential equation x^2 y'' + x y' + _x^2 y = 0, satisfying y(0)=1, y'(0)=0. Here y' means the first derivative of y(x) and y'' means the second derivative.
(See attached file for full problem description with proper equations and exponents) --- 1. Suppose that N(h) is an approximation to M for every h > 0 and that M = N(h)+K1h2+K2h4+K3h6+..... For some value K1, K2, K3... Use the values N(h), N(h/3), and N(h/9) to produce an O(h6) approximation to M. ---
On the following terms could you please give my an English text description - in your own words. Thanks. 1. Sequence 2. Geometric Progression 3. String 4. Recursive definition of a function 5. Recursive definition of a set 6. Recursive algorithm 7. Program correctness 8. Loop invariant 9. Final assertion
Given the cost function C(q) = 4000 + 50q + 0.002q2 and the demand function p = 80 - 0.025q, find the value of q for which: (a) Average cost is a minimum. (b) Revenue is a maximum. (c) Profit is a maximum. ---
1. Let g: R→R+ be such a function that g∈ C^1(R) and for all x ∈ R, -1 <g'(x) < 0. Show that the sequence Xn+1 : = g(Xn) converges to the unique fixed point of the function g, regardless of chioce Xo ∈ R. [ Note : Observe that the domain of function g is not a compact interval.] 2. Write a matla
Determine if the following functions satisfy local or uniform Lipschitz condition. 1). te^y My work: I found d/dy (te^y) = te^y, and this is not bounded above for any value of y, so this made me conclude that it has locally Lipschitz condition since the Lipschitz constant here changes as the reagion changes? Am I right?
School is about to begin. The janitor has all the lockers closed. All 1000 of them. Student #1 comes along and opens ALL of the lockers. Student #2 comes along and closes doors 2, 4, 6, 8, 10, etc.... Student #3 comes along and changes the state of every 3rd locker ( 3, 6, 9, 12, 15). Student #4 comes along and c
Real Analysis Jacobians(I) Necessary and sufficient condition for the value of a Jacobian of n independent functions to be zero The fully formatted problem is in the attached file.
I need to use separation of variables to solve Laplace's equation in the annular sector: 1< r<2, 0< theta< pi/2, u(1,theta)= f(theta), u(2,theta)=0, u(r,0)=0, u(r,pi/2)=0 Thank you!
The average numbers of home runs hit by the Boston Red Sox per game are: 2 divided by 3 = .66 5 divided by 2 = 2.5 6 divided by 1 = 6 7 divided by 0 = 0 Is that correct using the weighted approach?
Let (attached) be a function that is analytic and not constant throughtout a bounded domain (attached) and continuous (attached) on its boundary (here domain is an open connected set). Prove, by considering (attached) , that the component function (attached) has a minimum value in the compact region (attached) which occurs on
Having trouble researching the number of deaths in the US each year due to each of the following medical conditions in each of these years: 1985, 1990, 1995, and 2002. heart disease, cancer and aids e.g. The websites keep bringing up different types of cancer, nothing is specific. Totally frustrated... e.g. 1980 throug
The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. Thank you. Start with P0 = 0 and use Jacobi iteration to find..... (Complete problem found in attachment)
Demand Function, Cost Function. When x=500 units, is the demand elastic, inelastic, or unit elastic? Determine the production level of x that will minimize the average cost for this product. What is the average cost at this production level? What is the cost at this production level?
1. When x=500 units, is the demand elastic, inelastic, or unit elastic? The demand function is P(x) = 100-x/400 in dollars 2. The cost function to produce x items is given by: C(x)=1/9x^2 - 2x + 100 in dollars. Determine the production level of x that will minimize the average cost for this product. What is the ave
Let [EQUATION1] with [EQUATION2] and [EQUATION3]. The idea is to write each such set in some simple canonical form. (i) When n = 2, how many distinct knapsack sets are there? Write them out in a canonical form with integral coefficients and 1 = [EQUATION4]. (ii) Repeat for n = 3 with [EQUATION5]. *(For proper equations an
Suppose that a population develops according to the logistic equation: dP/dt = 0.15P - 0.003P^2 where t is measured in weeks. what is the carrying capacity?
Using the numbers 3, 3, 8 and 8 once and only once, obtain the target number of 24. (You have to use 3 twice and 8 twice - 3 x 8 = 24 is not acceptable). You may use only addition, subtraction, multiplication and division (eg. no factorial). Hint: no addition in the equation.
A dog walks north from a crossroads at 1 mile per hour. The dog's master begins one mile east of the crossroads and walks at all times directly at the dog with a speed of s>1 miles per hour. 1. Find the equation (in the form y = f(x)) that describes the path of the master. 2. When and where does the master overtake the do
Suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function would be Number of Beers (B)=5 times Number of Football Games (F), or B=5F. Write a brief describing this function that comes from your own life. It could be something about th