state the convolution integral. explain its significance.
Problem 1 Use the convolution integral to find the zero-state response for x(t)-u(t), and h(t)- eu(t)
Use the convolution integral to find the output current indicated in the circuit shown in Figure P7-44 when 1,0) = [1 + cos(1))u(t) A. Clearly explain all major steps of the analysis. 1H Figure P7-44
Use the convolution integral to find the output current indicated in the circuit shown in Figure P7-44 when 1,0) = [1 + cos(1))u(t) A. Clearly explain all major steps of the analysis.
1H Figure P7-44
please show all work ising convolution. integral is from 0 to t
Use convolution theorem and solve y'-st 0 sin(t - 2)y()dA = cost, y(0) = 1. *integral is from zero to to t I
Express the solution of IVP of the function in terms of a convolution integral
Express the solution of the initial value problem in terms of a convolution integral. (Do not evaluate the integral. There will be an integral in your answer.) y" + 4y = g(t) y(0) = 1, y'(0) = 2
Use
DUHAMEL INTEGRAL / CONVOLUTION INTEGRAL to solve. DO NOT USE
FOURIER SERIES.
Problem 4- Consider a simple damped mass-spring system under a general forcing function p(t) such that: Find the solution x(t) for the periodic forcing function described below: p(t) = Fo [1-cos (? t/2to)1 for 0-t-to (0)-0 for to
2. Using direct convolution (i.e., the integral), determine the convolution between r(t) and h(t), where h(t) and r(t) are defined as (note: please do NOT just plug in the formulas we derived in the class): h(t) exp(-2t) u (t) and x(t) = exp(-t)u(t), u(t) is the unit step function. h(t) exp(-t)u (t) and r(t)= exp(-t)u(t)
Explain the significance of the pKa with respect to the protonation state and charge of an ionizable group, and calculate the isoelectric point (pI) of a polyprotic weak acid. Please give an example
Find the Convolution integral y(t)
Please give answers in written detail.
Thanks
Problem 4: Find the convolution integra l y(t) x(t) 1 0 h(t) 1.5 -2 1 0 0.5 1 2
Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming (Write your answer as a function of s.) et coste) or}