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2 (5). Find the following antiderivatives. (a) l' z*d (n) [(e* – 2sin 2)der
Find all the antiderivatives of the following function. Check your work by taking the derivative. H(z) = - 7 - 8
use unilateral z transform with y (-1) = 1 blema l. (40%) Utilizando la transformada-Z unilateral d 2 determinar gm] para n 0 pe n. 5 a a 2, (60%) Se quiere diseñar un sistema lineal e invariante en el tiempo con l blema l. (40%) Utilizando la transformada-Z unilateral d 2 determinar gm] para n 0 pe n. 5 a a 2, (60%) Se quiere diseñar un sistema lineal e invariante en el tiempo con l
Find the Laplace Transform for each of the following: 1. L{2sin x + 3e0s 22}= (W) *** ** (m 3 to the (s? +1)(s2 + 4) 2. 1{eosusa)= ) og 2 ( 6+23+25 ( 6+2+25 2s ZS 3. Find the inverse Laplace Transform L'{- S +1 (4) tsint (B) ’sint (0) (D) rcost
#5. If Z is a star der£normal ramden . variable, then find censtands a and
1. Consider the function h:Z+ +Z+ defined by h(n) = l{k e Z+ : k|n}l. The bars around the set mean that we are taking the size of the set. Thus h(n) is the number of positive divisors of n. (a) Make a table of values for h(n) for 1 sn < 10. Write one or two sentences describing how you found the values in the table. (b) Find the value of h(90). Explain how you found your answer. (c)...
Find all the antiderivatives of the following function. Check your work by taking the derivative. f(x) = 19 ex The antiderivatives of f(x) = 19 e* are F(x) =
Find a. P(Z=1.32) b. P(Z>5) c. P(-1<Z<1) d. P(-2<Z<2) e. P(-3<Z<3) (c, d, and e form what is called the Empirical Rule. Look it up!) f. The 20th percentile of Z g. The z value with 5% area to its right. please show all work not just answers and do all of them please and thank you will rate high
5. Let Zli_ {a + bi l a,b E Z. i2--1} be the Gaussian integers. Define a function for all a bi E Zi]. We call N the norm (a) Prove that N is multiplicative. This is, prove that for all a bi, c+di E Z[i] (b) Prove that if a + r є z[i] is a unit of Zli], then Ma + bi)-1. (c) Find all of the units in Zli 5. Let Zli_ {a + bi l a,b...
7. Let E C R be nonempty, n E N, and K, L E Z such that K/n is an upper bound for E, but L/n is not an upper bound for E. (a) Show that there exists an for E, but (m - 1)/n is not an upper bound for E. (Hint: Prove by contradiction, and use induction. Drawing a picture might help) m < K such that m/n is an upper bound integer L (b) Show that m...
l Lie vai der Waals constants. 5. Compare th e pressures given by the perfect gas equation and the van der Waals equation for propane at 400 K and p 10.62 mol dm-3. The van der Waals constants for propane are for a- 9.3919 dm6 bar mol-2 and b0.090494 dm3 mol-1 Given that the vibrational frequency p = 4401 cm' for Ha, calculate the vibrational energe fo 6.