New Perspectives on HTML5, CSS3, and JavaScript
6th Edition
ISBN: 9781305503922
Author: Patrick M. Carey
Publisher: Cengage Learning
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d'y + 4dy +3y = a, Initial Conditions: y(0) = 5 & y'(0)=0
Where a = 10
a) Find y(t) =yh(t) +yp(t) in time domainIs the system over-damped, under-damped, or critical?
b) Find y(t) using Laplace Transforms
Given f(t)=a sin(ßt)
a = 10 & ß = 23
Find the Laplace Transform using the definition F(s) = ∫f(t)e-stdt
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- using r language A continuous random variable X has density function f(x)=1/56(3x^2+4x^3+5x^4).0<=x<=2 (1) secify the density g of the random variable Y you find for the acceptance rejection method. (2) what is the value of c you choose to use for the acceptance rejection method (3) use the acceptance rejection method to generate a random sample of size 1000 from the distribution of X .graph the density histogram of the sample and compare it with the density function f(x)arrow_forwardusing r language a continuous random variable X has density function f(x)=1/4x^3e^-(pi/2)^4,x>=0 derive the probability inverse transformation F^(-1)x where F(x) is the cdf of the random variable Xarrow_forwardusing r language in an accelerated failure test, components are operated under extreme conditions so that a substantial number will fail in a rather short time. in such a test involving two types of microships 600 chips manufactured by an existing process were tested and 125 of them failed then 800 chips manufactured by a new process were tested and 130 of them failed what is the 90%confidence interval for the difference between the proportions of failure for chips manufactured by two processes? using r languagearrow_forward
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- Transform the TM below that accepts words over the alphabet Σ= {a, b} with an even number of a's and b's in order that the output tape head is positioned over the first letter of the input, if the word is accepted, and all letters a should be replaced by the letter x. For example, for the input aabbaa the tape and head at the end should be: [x]xbbxx z/z,R b/b,R F ① a/a,R b/b,R a/a, R a/a,R b/b.R K a/a,R L b/b,Rarrow_forwardGiven the C++ code below, create a TM that performs the same operation, i.e., given an input over the alphabet Σ= {a, b} it prints the number of letters b in binary. 1 #include 2 #include 3 4- int main() { std::cout > str; for (char c : str) { if (c == 'b') count++; 5 std::string str; 6 int count = 0; 7 char buffer [1000]; 8 9 10 11- 12 13 14 } 15 16- 17 18 19 } 20 21 22} std::string binary while (count > 0) { binary = std::to_string(count % 2) + binary; count /= 2; std::cout << binary << std::endl; return 0;arrow_forwardConsidering the CFG described below, answer the following questions. Σ = {a, b} • NT = {S} Productions: P1 S⇒aSa P2 P3 SbSb S⇒ a P4 S⇒ b A. List one sequence of productions that can accept the word abaaaba; B. Give three 5-letter words that can be accepted by this CFG; C. Create a Pushdown automaton capable of accepting the language accepted by this CFG.arrow_forward
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