( S L-1 e2s ( (s-6)²+25) u (t – 2) e6 (cos 5t + - sin 5t) O eor (cos 5t – sin 5t) и (1 — 2) е-6г (соs 51 sin 5t) u (t – 2) (cos 5t + COS - sin 5t) и (t — 2) ебі-12 (cos (5t – 10) + sin(5t – 10)) 10) ||

Q: he signal is to be sampled, what is the minimum sampling frequency w, to intain the signal without…

A: Given: x(t) = (1 + cos(5t)) sin(15t)

Q: (글콜) (콜을) (0,1) (플플) (물) 120 3 60 135" 4. 45 5m 150 6 30'금 (-1,0) (1,0) OF0 180, 210 11a 330. 6 7m…

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Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

A:

Q: Question 6 Find the solution. (4D3+12D2+13D+10)y = 0. /½(c,cosx+c_sinx) + cge -2x y = c ,xe-2* + e A…

A: given differential equation is  9D3+12D2+13D+10y=0            (i) Solution of the Homogeneous…

Q: 2) / x² - y²) dx + (x² - ²xy) dy = 0 6 ,2 1 21 COCX

A:

Q: cos(0 + B) = cos 0.cosB- sin 0. sinB . cos(0 + 0) - cos 20 - cos2e-sin2e 1- cos 20 1-cos2e+ sin 20…

A: We have to prove the trigonometric result.

Q: According to the second translation theorem, how do we fınd the indicated missing factor? -25 d{sin…

A:

Q: If Z-1/v2+i/v2 then the value of conjugate of Z^5=?* O cos(3n/4) O 2sin(5n/4) O 2cos(5n/4) cos(5n/4)

A:

Q: Find 4x° cos(2r) dr. 1 (- sin(32) + sin(2)) 0. (sin(2)- sin(1)) 1 6(-sin(2) + sin(1)) None of the…

A:

Q: If sin(x+y) - - sinx + 뜰 conx, what is the value of y? O 0 이용 6

A: Topic = Trigonometry

Q: Newton - RaphsonMethed Lnlx-1)+ cos(メ-L)=o P(xn)laーメn

A: The formula to find the next iteration according to Newton's method is:

Q: sin2xdx 1) S7 o sin+x+cos4x

A:

Q: (b) Show that: cos(x cos 0) = Jo - 2J₂ cos 20 +2J4 cos 40 +

A: Solution (b):

Q: Q.3) 3+4x+20 dx = a) Q.4) f sin5x sin4x dx = tan-(+) 4 a) = (cosx - cos9x 9 cos9x c) (cosx +°%$*) +…

A: ∫1x2+4x+20dx∫sin5xsin4xdx

Q: -(sin³(x) + sin (x³) ) dx A 3sin'x + cos (x³) B 3sin?rcos(x³) + 3xr?cos(x³) © 3sin?x + cos (3x²) D…

A:

Q: sin- a. b. undefined cos(-210) C. Cus270 tan450 d.

A: sin17π6=cosπ2-17π6=cos-7π3=cos7π3=cosπ3=12        cos-210∘ =cos210∘ =-32

Q: 1 =dx = V81-(3x+5)? 2 3x+5 -tan- (***) + c 9 o 음sin-1 (3g5) +c 9 o tan-! (**5) +c o sin-l (초5) +c…

A:

Q: S cos(3r)(sin(3x) +5)10 dz Select one: (sin(3z)+5)" 11 +C O (sin(3r) + 5)"+C (sin(37)+5)" 33 +C…

A: Consider the integral: I=∫cos3xsin3x+510dx……1

Q: (cos(20))(sin(0) + cos(8))ª de

A:

Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: 2Tn Which signal is the same as In = 2 cos 10 1 i2nn/10 2 1 1 1 (a) pi2n/10 -12 πn/10 (b) 12πn/10 e…

A:

Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

A:

Q: 3 / (2³ + 3² + sinz + soc³² 2 + √₁ ²32 + √2) +sinx+secx+ dx √1-x²

A:

Q: 0 a "/2 ((+ cos@)-1)sin@d0 + a |((1+ cose) - 1)sinede 3 3 a ("/2 (1+3cos@+3cos 0+ cos 0-1)sin@de a3…

A:

Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: 2. (a) Show that V3 cos x-sin x COS where 0<x<2r . 2 (b) Using the result in (a), solve the equation…

A:

Q: Sz sin2m-10 cos2n-10 —— В (т, п) 2

A: It is known that, βm,n=∫01xm-11-xn-1dx

Q: L e14u cos(16u)du

A:

Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e3x/2 - 4x sin…

A:

Q: 1. The water temperature in degrees Fahrenheit at St. Petersburg, FL can be modeled by f (x) = 12.4…

A: topic - trigonometric functions

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.