3x3 Systems ((100/11 tanas - Radical rationalize den 2 cos(x) - V3 = 0 off on...
B 357 m To find the distance AB across a river, a surveyor laid off a distance BC = 357 m on one side of the river. It is found that B = 114°30' and C = 14°20'. Find AB. 14°20 114°30 m The distance AB across the river is (Simplify your answer. Do not round until the final answer. Then round to the nearest whole number as needed.)
(Complex analysis) Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where z = x + iy: a)y=0 b) x = 0 c) 2 y1 d) x2 + y2 + 2y 1 Answer b) v3u c) (11 + 1)2 + (v-V3)2 = 4 d) 11 2 + U2-8 Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where...
11) find the value of X write your answer in the simplest radical form Question 11 Find the value of x. Write your answer in the simplest radical form. 50 12 x a) O 24 b) O 12,2 c) O 6/2 d) 06/3
For the following linear system: 2x--3x +5x2-7x4-0 X-2x+3x-2xs-0 3x3-3 x-x-3x: 0 X:+8 x 9 x3+11 xs-0 (1) Represent this linear system in the form Ax = b. (ii) Explain what the null space of the coefficient matrix A is in terms of the linear system (ii) Find a basis for the null space of A. (iv) Find the rank and nullity of matrix A.
A) 2 For cos 23 -sino cos For sino any matrix A = any € [0, 21] let [a b] simplify simplify Ax. B) If A = B) and c Coff 8 , find 2 A- [12], B =[2] A (x +B) =(. such that
2. The defl ection a uniform beam with flexual rigidity EI and applied. be load f (x) = cos (x) satisfies the equation 2 y(0) =v'(0) = 0 11' (2)イ(2) =0 Ely(4) (x) = f (x) (a) Evaluate the deflection y (). '/ sin (a 2) dx =--cos (az)+C Hint:"/ cos (ax) dx=-sin (ax) + C, 2. The defl ection a uniform beam with flexual rigidity EI and applied. be load f (x) = cos (x) satisfies the equation 2...
1 Consider the chopper-sampled waveform in Eq. (3) with T/2, f 100 Hz, and x()- 2 2 cos 21T30t + cos 27T80t. Draw and label the one-sided line spectrum of x,(t) for 0 s f s 300 Hz. Then find the output waveform when x,(t) is applied to an ideal LPF with В 75 Hz. 1 Consider the chopper-sampled waveform in Eq. (3) with T/2, f 100 Hz, and x()- 2 2 cos 21T30t + cos 27T80t. Draw and label...
11. Find the values of x and y. Express your answers in simplest radical form. 3 34 F 00 b. x = 12,3 - 12/3 c. x-12, 7 - 12/2 *-12-/ 3-12 d. x - 12 √2 y = 12 12. MNOP is a parallelogram. Find MP. M 5x a. b. MP = 25 MP = 30 c. d. MP-20 MP=6 13. TRSU is a rhombus. Find SU 2x+ 5 S 5x2 T U SU = 7 SU - 1...
Let A, B,C be matrices with the singular value decompositions 1. A-(4/5-3/5) ( 0 0 1 0 2 0 0 0 100 1叭-1/2 V3/2 2. B=11 00110 2 113 0 01 0 TO V3 V3 V3 a. Find the characteristic polynomials and eigenvalues of AA" and ATA, BBT and BTB, CCTand CTC. b. Find the largest possible value of IlAvILBvICvll, for the corresponding unit vectors v. c. Sketch the image, under A, B, C, of the unit sphere in the...
Write the expression as an algebraic (nontrigonometric) expression in u, u> 0. cos (arctanu) cos (arctan u) = 0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators.) The following function approximates the average monthly temperature y (in °F) in a city. Here x represents the month, where x= 1 corresponds to January, x=2 corresponds to February, and so on. Complete parts (a) (b). flx) = 11 sin [«- 49]+50...