

-3 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 78 Re A sinusoid has an associated phasor shown in the graph above. Find the sinusoid's formula, in the form z t = Aco (2x100e十0) Enter the formula below. Give the phase value in radians between r(t) π and π cos(2100t+
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2<t<π/2. r(t) = (4 + t)i-(8+In(sect))j-9k, Find the tangential and normal components of the acceleration for the curve r(t)-(t2-5)i + (21-3)j +3k.
a. Find the curvature of the curve r(t)- (9+3cos 4t)i-(6+sin 4t)j+10k. o. Find the unit tangent vector T and the principal normal vector N to the curve -π/2
223 21 What is the current i(t) in this circuit? A) i(t) = 5 cos(20t + 86.80) A B) i(t) = 9 cos(20t + 86.80) A C) i(t) = 5 cos(20t - 86.8°) A D) i(t) = 7 cos(20t – 63.3°) A E) i(t) = 12 cos(20t + 87.49) A 5 cos (20+) V ( ) 0.1 F 0.2 H ооо
QUESTION 4 Suppose a fourth field and path: F= <cos(z), sin(z), xy > and r= <sin(t), cos(t), t-> when Osts 21 What does this field look like? What does the path look like? Find ff. dr (use a calculator), what does it represent? Explain.
Supposez1 =4 cos 3 +isin 3 andz2 =2 cos 6 +isin 6 .
Computez1z2.
(a) 8(cos?π?+isin?π?) 22
(b) 4(cos?4π?+isin?4π?) 66
(c) 2(cos?π?+isin?π?) 66
(d) cos(π)+isin(π)
(e) 8(cos?π?+isin?π?)
66
17. Suppose z1 = 4 (cos (1) + i sin (5)) and z2 = 2 (cos () + i sin (7)). Compute z122. (a) 8(cos (7) + i sin (7)) (b) 4(cos (4) + i sin (*)) (c) 2(cos (7) + i sin ()) (d) cos(T) + i sin(TT) (e) 8(cos (7)...
5. Evaluate the value of arcsin (-2) 6. Evaluate the expression sin (arcsin (-3)). 7. Evaluate the expression arctan(cos(it)). 8. Evaluate the expression tan (arcsin (-2)
Problem 5: Let f(z) = zi = eiLog?, [2] > 0, -T < Arg z <a denote the principal branch of the function z', and let C be any contour from –2 to 1 that, except for its endpoints, lies above the real axis. (a) Find an antiderivative of the function f(z); (b) Compute the integralf(z)dz; SOLUTION:
Number 6 and 7
피 - [ n ] -2uIn 3 ] uln 5 ] in of δ1n . Problem 5. Express the signal nu-+ -terms Problem 6. Express the signal y[n] = 이n + ll-δ[n] + δ[n-1] + 히n-2] in terms of uln) Problem 7. A signal x(t) is given as follows: r(t) = 2 cos(2mt) + V2 cos(2nt + π/4) + V2 cos(2mt + 3r/4) + 4 cos(2nt + 3r/2), (4) Page 1 of 2 (a) Simplify z(t)...
(B)(C)(D)(E)(G)(I)(J)
39 Write the Taylor expansion of function f order n at to given below. 1 (a) (g)2+v1+ I, n 2,ro - 0 n = 7, xo = 0 1 -2-3 (b) sin z cos(2x), (c) z In(2+3z), VI+I n= 3, To = 0 1 +e-1/ (h) 2+x n =5,xo= +o0 n= 3, ro = 1 T (i) cos (2r), n 4, xo= 6 (d) n = 7,xo = 0 COSI i) V+-VI3-, n 4, 1o =+00 (e) In(1+ arcsin(2r)),...
(1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=|
(1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=|