Problem 2.13. Simplify as far as possible. (a) (1 – t)2 + (2 + 2t)2 (b)...
please simplify Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
Complete the solution to the following Arc Length problem. 2 = 2t, y= 2t, 0 <t <3 We have dy da dt 4t, 6+2 dt then L " V16° + 36*d! = 5" Vatº (4+ Bx)dt NOTE: Use the equation editor 3 to input your solution. You NEED to show th
need help with these questions as soon as possible PROBLEM 3: Simplify the following expressions (to review the properties of the unit impulse): a. f(t 5)6(t -5) etn dt PROBLEM 4: Mathematical Review Problem 1.54(a, b, d) PROBLEM 5: a) Consider the signal t) defined below 0, t<0 n(t) = t<2 t, 0, 1 t2 2 Write a single equation for xi(t) using the unit step function (i.e. do not use bracket notation). b) Sketch the signal z2(t) = u(t...
Problem List Next Problem Previous Problem (1 point) 2t4 2t+4 are both solutions to the system of differential equations: and 2 Suppose 1 (4t+4) 2t -30 (t) Aa (t) with a (3) 33 (t) where: Then (t) 2(t) 2(t) Note: You can earn partial credit on this problem. Problem List Next Problem Previous Problem (1 point) 2t4 2t+4 are both solutions to the system of differential equations: and 2 Suppose 1 (4t+4) 2t -30 (t) Aa (t) with a (3)...
all parts -2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
Problem 2.13 A wireless channel has impulse response given by h(t) 2t 0.1) +j8(t 0.64)-0.86(t-2.2), where the unit of time is in microseconds (a) What is the delay spread and coherence bandwidth? (b) Plot the magnitude and phase of the channel transfer function H(f) over the interval -2Be,2Be], where Be denotes the coherence bandwidth computed in (a). Comment on how the phase behaves when H(f) is small. (c) Express | H(f)l in dB, taking 0 dB as the gain of...
For the following equations : x= 2t^2 , y = 3t^2 , z= 4t^2 ; 1 <=t <=3 A) write the position vector and tangent vector for the curve with the parametric equations above B) Find the length function s (t) for the curve C) write the position vector as a function of s and verify by differentiation that this position vector in terms of s is a unit tangent to the curve.
1) Use Boolean algebra to simplify the expression below as far as possible. Create a truth table for the simplified expression as well as the original. (a XOR b)(a' XOR b) + c' *XOR = Exclusive or, ' = NOT* 2) Draw a circuit diagram for the original expression as well as the simplified expression, identifying the chips that you would use and the pins for each gate.
Consider the parametric curve given by x(t) = 16 sin3(t), y(t) = 13 cos(t) − 5 cos(2t) − 2 cos(3t) − cos(4t), where t denotes an angle between 0 and 2π. (a) Sketch a graph of this parametric curve. (b) Write an integral representing the arc length of this curve. (c) Using Riemann sums and n = 8, estimate the arc length of this curve. (d) Write an expression for the exact area of the region enclosed by this curve.
Solve the following using iteration method. Note: T(1) = 1. 2. recurrences GE) T(п) 2T 2.1 3 Т(п) 2T (п — 2) + 5 2.2 Solve the following using Master Theorem. 3. recurrenсes T(п) log n n 4T .3 3.1 n 5T 2 n2 log n T(п) 3.2 Solve the following using iteration method. Note: T(1) = 1. 2. recurrences GE) T(п) 2T 2.1 3 Т(п) 2T (п — 2) + 5 2.2 Solve the following using Master Theorem. 3....