Question Hello, please make sure you understand this topic. make sure answers and formulas applied are correct. show the steps and answers. if answers are correct i will give thumbs up. Thank You! Referring to the circuit in the figure (R1=100 KS2, R2=1 K2 and C-200 mF), find the followings: A- Find the gain and the break frequency Fs of the circuit. B- Find the output voltage at f=10 Hz if Vin= 30 sin (50t) using two different approaches (the frequency domain equation and the integral equation). C- Find the output voltage at f=Fg/10 Hz if Vin= 30 sin (50t) using two different approaches (the frequency domain equation and the integral equation). oc HE RE w R w 5 Vonat

31. For the circuit of Fig. 11.39, compute the average power delivered to each load, the apparent power supplied by the source, and the power factor of the combined loads if (a)Z = 14/32° 12 and Z2 = 22 82; (b) Z1 = 2/0° 2 and Z2 = 6-; 32; (c) Z1 = 100/70° S2 and Z2 = 75/90° 12. Z 119/3° V rms 12 + Z FIGURE 11.39

Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. The set of al 4 x 4 matrices of the form O b a a o b c са о babi with the standard operations O The set is a vector space. O The set is not a vector space because it is not closed under addition. O The set is not a vector space because it does not satisfy the associative property of addition. O The set is not a vector space because a scalar identity does not exist. O The set is not a vector space because it does not satisfy the distributive property.

2. B) A 600-kg car traveling at 24.5 m/s is going around a curve having a radius of 120 m that is banked at an angle of 20.0 degrees. Is the curve properly banked for the car's speed? Explain. A yes or no answer is not enough. Show your work to support your answer. 2.88 M - Goo МА .600 x 987 MS = 600 X 24,5 2. B) A 600-kg car traveling at 24.5 m/s is going around a curve having a radius of 120 m that is banked at an angle of 20.0 degrees. Is the curve properly banked for the car's speed? Explain. A yes or no answer is not enough. Show your work to support your answer. 2.88 M - Goo МА .600 x 987 MS = 600 X 24,5

#o: A 600-kg car traveling at 24.5 m/s is going around a curve having a radius of 120 m that is banked at an angle of 20°. (a) Draw a free body diagram (b) What is the reaction of the road on the car? (c) Is the curve properly banked for the car's speed? (d) What is the minimum coefficient of static friction required between the road and the car's tires so #o: A 600-kg car traveling at 24.5 m/s is going around a curve having a radius of 120 m that is banked at an angle of 20°. (a) Draw a free body diagram (b) What is the reaction of the road on the car? (c) Is the curve properly banked for the car's speed? (d) What is the minimum coefficient of static friction required between the road and the car's tires so the car does not skid?

(2 points) Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) ax) - (In 2) 8 dr = In(24) dc b) 2 oſ 1 InCr") dc

A simple 1-DOF mechanical system has the following transfer function: \[ G(s)=\frac{Y(s)}{U(s)}=\frac{0.25}{s^{2}+2 s+10} \] where position \( y(t) \) is in \( \mathrm{m} \). The system is initially at rest, \( y(0)=y(0)=0 \), and the applied force is a step function \( u(t)=4 U(t) \mathrm{N} \). Determine the system response using Laplace methods. Here, \( U(t) \) represents the unit step function.