Question Consider the signal x[n] =alpha nu[n] Sketch the signal g[n] = x[n] - alpha x[n - 1] Use the result of part (a)in conjunction with properties of convolution in order to determine a sequence h[n] such x[n] + h[n] =(1/2)n{u[n + 2] -u[n - 2]}.

3. Obtain cascade structure as a second-order transposed direct form II sections with real coefficients for the given system function: (1+(1 – 4)2-1)(1+(1 +į)z-1) H(2) = (1 +52-) (1 - 4x-)(1-32-1) (1 - 22-1)

16. A disk, a hoop and a solid sphere are released at the same time at the top of an inclined plane. They all roll without slipping. In what order do they reach the bottom? a. Disk, hoop, sphere b. Hoop, sphere, disk c. Sphere, disk, hoop d. Sphere, hoop, disk e. Hoop, disk, sphere 17. A wheel rotates through an angle of 360° as it slows down from 78 rpm to 16. A disk, a hoop and a solid sphere are released at the same time at the top of an inclined plane. They all roll without slipping. In what order do they reach the bottom? a. Disk, hoop, sphere b. Hoop, sphere, disk c. Sphere, disk, hoop d. Sphere, hoop, disk e. Hoop, disk, sphere 17. A wheel rotates through an angle of 360° as it slows down from 78 rpm to 2 What is the magnitude of the average angular acceleration of the wheel?! a 8.14 rad/s

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