Question 2.41. Consider the signal \[ x[n]=\alpha^{n} u[n] \text {. } \] (a) Sketch the signal \( g[n]=x[n]-\alpha x[n-1] \). (b) Use the result of part (a) in conjunction with properties of convolution in order to determine a sequence \( h[n] \) such that \[ x[n] * h[n]=\left(\frac{1}{2}\right)^{n}\{u[n+2]-u[n-2]\} . \]

thank you😃, this will also help me in understanding the concept on this topic😃 2. Express the following absolute voltage gain to decibel power gain assuming that the resistance level are the same at the input and output. a. Av 2 b. Av = 21 C. Av = 0.2 d. Av = 10 =

the worst case. 4: Show that there are at most [n/2h+1] nodes of height h in an n-element heap

Receivables amount to P150,000. Receivable turnover is \( 10 \mathrm{x} \) and inventory is maintained at a level equal to 15 days' sales. Selling price per unit is P100 and has gross profit ratio of \( 40 \% \). A proposal has been made to change the term credit to \( \mathrm{n} / 60 \) to result to an increase in sales volume by one-third or by 5,000 units. Under this proposal, bad debts losses are estimated at \( 1 \% \) to \( 3 \% \) of sales but inventory turnover shall remain the same. How much is the increased accounts receivable? How much is the increased inventory? Compute for the increased operating income.

Vibrations Homework 1 1. (15 pts) A system consists of two cantilever beams (with an equivalent spring constant k1 and k2, respectively) and k1 two springs (k3 and k4) combined in the configuration shown. For k1-k2-k3 k4-100 N/m, calculate the equivalent spring constant of the system with respect to the xcoordinate. k3 k2 Ka 2. (15 pts) In the figure, for a Vibrations Homework 1 1. (15 pts) A system consists of two cantilever beams (with an equivalent spring constant k1 and k2, respectively) and k1 two springs (k3 and k4) combined in the configuration shown. For k1-k2-k3 k4-100 N/m, calculate the equivalent spring constant of the system with respect to the xcoordinate. k3 k2 Ka 2. (15 pts) In the figure, for a 10 cm, b 20 cm, m1- m2 10 Kg, and Jo 10 Kg-m2, calculate the equivalent mass with respect to the x coordinate.

please help! The energy of a photon is related to its frequency through the following equation \[ E=h v \] where \( E \) is the energy, \( h \) is Planck's constant, and \( v \) is the frequency. Rearrange the equation to solve for \( v \). A photon has an energy of \( 4.10 \times 10^{-19} \mathrm{~J} \). What is the frequency of the photon?

An object with total mass mtotal = 17.3 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.9 kg moves up and to the left at an angle of θ1 = 20° above the –x axis with a speed of v1 = 25.5 m/s. A second piece with mass m2 = 5.1 kg moves down and to the right an angle of θ2 = 25° to the right of the -y axis at a speed of v2 = 21 m/s. What is the x-component of the velocity of the third piece? What is the y-component of the velocity of the third piece? What is the magnitude of the velocity of the center of mass of the pieces after the collision? Calculate the increase in kinetic energy of the pieces during the explosion.