(+630+25- 38t) Determine the verse loplace trans form ace trans form of the Ballowing functions a-) x (s) b-) p (S) (+630+25- 38t) Determine the verse loplace trans form ace trans form of th...
2. Find the inverse Laplace trans forms of the following functions: S+1 a. F(S) (S+2)(S+3)(S+4) b. F(S) s2455+1
Consider a market with demand and supply functions of the form: D:Q^D=28-4P^D S:Q^s=-2+P^s a. Graph and calculate the market equilibrium price and quantity. b. Graph and calculate the consumer surplus. c. Graph and calculate the producer surplus. d. Imagine the government imposes a $1 per unit tax on consumption of the good. Graph and calculate the deadweight loss of the tax.
Your demand and supply functions are given by D: P=50-Q and S: P=10+3Q. Determine the market equilibrium price and quantity. If a price floor is put into place at P=30, determines the shortage or surplus, if any (think carefully). Draw a graph and show your calculations for full credit.
25. Consider the functions. (8 pts) a) f(x) = I b) f(x)= x c) f(x) = x² d) f(x) = (xl e) F(x)=x F) f(x) = x g) f(x) = a*, a>0 h) F(x)= logo A) which function is one-to-one? B) which function has domain (-os)? c) which function has range (-18,)? 25 A 25 B
Express the following transfer functions, H(s) in a state variable a) 1st Companion Form b) Jordan Form. Draw Block Diagrams showing outputs. Check controllability and observability of the state space equations. H(s) = 1/(s2+4s+4)
Express the following transfer functions, H(s) in a state variable a) 1st Companion Form b) Jordan Form. Draw Block Diagrams showing outputs. Check controllability and observability of the state space equations. H(s) = (8x+7)/(s3+4s2+6s+8)
In Exercises 19-24, use the method of Example 14.9 to determine all the functions in Gal Qp for the given p(x) E Q[x]. 22. p(x)135 In Exercises 25-33, use the method of Examples 14.9 and 14.10 to determine all the functions in Gal K/F. 28. Gal Q(V13, 53)/Q
In Exercises 19-24, use the method of Example 14.9 to determine all the functions in Gal Qp for the given p(x) E Q[x]. 22. p(x)135 In Exercises 25-33, use the method of...
5. Minimize the following Boolean functions into sum-of-products form using a K-map (b) F(a,b,c,d) = P(0,2,3,4,6,8,14,15) Letter P mean the Sum (d) F(a,b,c,d) = Q(3,4,5,6,7,9,11,12,13,14) Letter Q mean Pi
Problem 4 Let V be the vector space of functions of the form f(x) = e-xp(x), where p(x) is a polynomial of degree (a) Find the matrix of the derivative operator D = d/dx : V → V in the basis ek = e-xXk/k!, k = 0, 1, . .. , n, of V. (b) Find the characteristic polynomial of D. (c) Find the minimal polynomial of D n.
Problem 4 Let V be the vector space of functions of...
2. Determine the structures of A and B in the following sequence of trans formations. Determine the configurations (R or S) of the stereocenters, where applicable (R)CH CH3SO2CI Ph NaOH/H20 — в + сH,So,Na DMF он Ру