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parts A,D,H Exercises 8.1, 8.2, 8.4 (notes: (a) 8.1 and 8.2 can be done by long...
The following has 3 exercises and each exercise
consists of multiple parts. please take into consideration all 3
exercises and answer each and every part of each exercise including
the subquestions found in it!!
Exercise 1 Find the Laplace transform of the following functions: 1. f(t) = 5t3e-46 2. f(t) = cos(26)U(t - T) 3. k(t) = {2-1, t<2 t> 2 4. f(t) = etsin (3) Exercise 2 Use Laplace transforms to compute the solution y(t) of the initial value...
stuck on #37
7-13 In Exercises 33 through 38. find the difference quotient, fa+ h)-a) 33. f(x)4 5x 35. f) 4x 2 34. f(x)2x 3 36. fx) x2 37. f) 38. f(x) - + 1 In Exercises 39 through 42, first obtain the composite functions f(g(x)) and g(f(x)), and then find all number r (if any) such that f(g(x)) g(f(x)). 39. fx) Vt, gt) 1 3
7-13 In Exercises 33 through 38. find the difference quotient, fa+ h)-a) 33. f(x)4...
Chapter 08, Section 8.2, Intelligent Tutoring Problem 011 For a data set obtained from a sample of size n-81 with x-47.75, it is known that ?-5.6. (a) what is the point estimate of ?? (b) Find z score corresponding to a 95% confidence level, zo/2. Recall that (1-a)100%-95%. (c) Construct a 95% confidence interval for ?. (d) What is the margin of error in part (c)? Recall the following definitions from section 8.2-3 of the text. The confidence level is...
Its question 15 that i am stuck with.
I want to know how the model looks like and how to make it.
8.2 HC 15. As shown in Figure 8.2.6 two large connected mixing tanks A and B initially contain 100 1liters of brine. Liquid is pumped in and out of the tanks as indicated in the figure; the mixture pumped between and out ofa tank is assumed to be well-stirred. (a) Construct a mathematical model in the form of...
Question4 please
(1). Let f: Z → Z be given by f(x) = x2. Find F-1(D) where (a) D = {2,4,6,8, 10, 12, 14, 16}. (b) D={-9, -4,0, 16, 25}. (c) D is the set of prime numbers. (d) D = {2k|k Ew} (So D is the set of non-negative integer powers of 2). (2). Suppose that A and B are sets, C is a proper subset of A and F: A + B is a 1-1 function. Show that...
Problem 8.4: Refer to Muscle Mass Problem 1.27. Second-order regression model (8.2) with independent normal error terms is expected to be appropriate. A. Fit regression model (8.2). Plot the fitted regression function and the data. Does the quadratic regression function appear to be a good fit here? Find R^2. B. Test whether or not there is regression relation; use α= .05. State the alternatives, decision rule and conclusion. C. Estimate the mean muscle mass for women aged 48...
NO.25 in 16.7 and NO.12 in
16.9 please.
For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs that start near p, İhus the net aow is outward near Pi, so div F(P) > 0 Pi is a source. Near Pa, on the other hand, the incoming arrows are longer than the e the net flow is inward,...
(a)-(d)?
Problem(11) (10 points) Let Z~Normal(0, 1). Recall the definition of -value, i.e., P(Z>)-r. (a) (1 point) Find the probability of P(-2a/2<Z < 2a/2) (b) (3 points) Let X1, X2, , Xa be a random sample from some known) mean p and (known) variance o2. Based on the Central Limit Theorm and part (a) above, show that the confidence intervals for the population mean u can be estimated by population with (un- P(x- <pAX+Za/2 =1-a. Za/2 (c) (2 points) The...
Question 7: Solve the entire problem using Laplace Transforms. Recall the DE for our two-vessel water clock ах - Ax, where A dt k(0)= DE IC: -1] Let X(s) denote the Laplace transform of x(t). Then x(s) = (sl-A)-1 (0) There is no forcing term, so this is just the zero-input or homogeneous solution. Solve for X(s) and record your answer in the answer template. The first component has been given for you Question 7: The solution in the transform...
(5 points in total) For this question, we need more precision (more digits after the decimal points) than the Matlab default precision. Use 'Format Long' to get more digits For function f(x) 1. 1+x3 Find the power series expansion of f(x) (Hint: Command 'taylor' may be useful) up to x20 Use your answer in part(a) to find the first three non-zero terms of a numerical series that converges to (x)dx Give an upper bound for the error of the approximate...