ation 3D - 1.79 sin( (d - 78)) + 7.3 365 | re t is the time in hours after midnight and d is the number of the day in the year. he nearest minute, when did the sun rise on December 25th, the 359th day of the year? O 7:23 am O 8:58 am O 8:53 am O 9:05 am

Q: cos(a

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Q: The figure shows a pendulum with length L that makes a maximum angle 8o with the vertical. Using…

A: Formula: Simpson's 13rd rule ∫abf(x) dx≈∆x3f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... +…

Q: cosh(2.r) - 1 6. (a) Show that sinh (r) %3D 2

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: sin- dx 32 cos:주-Scos)+기+ c 35 32 + C COS 7 4 32 32 .coss(수)+C 32 cosS 4 35 Ssin +2 +c

A: The correct option is (3).

Q: cos ne sin no 4.0 |cosh t sinh t |- sin ne cos ne sinh t cosh t

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Q: sin 2t sin 5t 20 s4 + 58s² + 441 None of the choices Option 3 10 1 s4 – 58s² + 441 2 s2 + 32 s2 + 7?…

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Q: XIXIXI A particle moves along a straight line with an acceleration of a = 4 sin m/s². If the…

A: Topic:- application of integration

Q: |e2 sin²(e2«) cos(e24) dx. we let u =e2* To evaluate А) True B False

A: Given:       ∫e2xsin2(e2x)cos(e2x)dx      let u=e2x→du=2e2xdx           =∫sin2ucosu2du…

Q: sinycosy sinh²x+cos²y O the above sinxcosx sinh²x+cos²y the above:

A: Find Im(tanhz)

Q: cosh¯1(i) COS

A: Given,                    cosh-1(i)

Q: Sine:-4 nd lieg in te four4 twdr. otler Five Sin = 2.Gven t,t triSonamerric functian

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Q: cos bx – cos ax Evaluate -dx, a>b> 0. x2 ANS. л(а — b). |

A: Given integral ∫−∞∞cosbx−cosaxx2dx, where a>b>0 Let Ib=∫−∞∞cosbx−cosaxx2dx...…(1) Here,…

Q: e* -e* hD (Hint: E = e"D and Sinh x = 2 Q3: Prove that 8 = 2 Sinh 2.

A: Let's prove this formula.

Q: sin³ydy 1+cosy A 1+ cosy B 1- cosy c) siny D) sin³y E None

A: The objective is to evaluate the correct option.

Q: 2(s - 4) [s² +2s+10] What is L using Completing the Square? 2e cos 3t 4 -e sin3t 3 В. 2е сos3t C.…

A: To solve given inverse Laplace transform first we write it in the standard form and then use the…

Q: establish each identity.

A: sinα-cosβ2+cosβ + sinαcosβ-sinα

Q: GEOMETRY Unit 3 Test 2 2020-21 /6 of 10 In the figure shown, cos P= 0.60. What is the length of PN?…

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Q: Insec (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A…

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Q: time t= sec. 4 s=8-3 cos t The velocity of the body at t= sec is 4. m/ sec.

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Q: Find the solution(s) for theta. 8-V3 = 4+ sin 0 2. O No solution {240, 300} {210, 300, 330} {210,…

A: The detailed solution is given below Thank you The second option is true

Q: cos2t dt Evaluate the Integral (1+ sin2t) 4 A (1+ sin2t) 3+ C (1+sin2t) -3+ C 6. (1-sin2r) 3+ C 6. D…

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Q: Question" If F(s) then (s-3)+4 f() = e"(cos(3t) + sin(3t)) r1)=e"cos(21) - esin (2t) This option…

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Q: Shifting Trig Functions sin at = 0 2 Shifted Trig Functions 4.50 • sin(w) 4.00 sin(wt-) ot = 0 0.50…

A: To explain the shifting of the trigonometric equation.

Q: Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g),…

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Q: (sin 0-2rcos 0) dr + rcos0 (2rsind + 1) d0 = 0, when r = 1; 60=0 %3D

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Q: 2 (cos+ i sin; ) 22 = 3 (cos+ i sin ev The value of z1 = = 31 cOS evaluate: (a). Z1 • Z2 (b) 22

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Q: u= - e' sinhx satisfies one of the following u =u = - 1 o "x и XX Harmonic Not harmonic

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Q: cosh (T- i) = %3D e cosl - i e sin 1 + e-I cos 1 + i e- sin 1 e cosl - i e sin 1 + e-T cos 1 ie-I…

A: We can express sine and cosine in exponential form as following,  (i)  cosx =eix+e-ix2(ii)  sinx…

Q: Astroid: (0 s t s 2x) x = a cos3 t y = a sin3 t a ab 3 o 2ra2 O zab 2nab

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Q: Ans. (1 34. The cardioids r = a(1- sin 0). 35. The cissoids r = a sin 0 tan 0. (See Exercise 29.) II…

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Q: A 3. What is the exact value of sin(-)? |(0, 1) (停) 90° 135 150 30 0| (1,0) 0° (-1,0) T 180 330 315…

A: The solution is :

Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20.…

A: We have to evaluate the given Integral.

Q: angular velocity o (in radis) of a pendulum is -0.50 sin 2.01. Find the angular displacement 0 as a…

A:

Q: lim z?e² = ZI-3i Select one -9 cos 3 – 19 sin 3. .b 9 cos 3 + i9 sin 3. -9 cos 3 + 19 sin 3. .d 9…

A: Given function is: f(z)=limz→-3iz2ez Simplifying given equation is: z=x+iy f(x+iy)=(x+iy)2ex+iy…

Q: S+1 L-1 I. s2+4, 1 cos2t + sin2ta O - cos4t +sin4t b O 1 cos4t +-sin4tc o 2 .C cost+sint a o .d

A: Using the standard formula for inverse Laplace transforms we can easily find the inverse Laplace…

Q: sin x = 3/5, tan y = 2/5. Find sin (x + y). A. 0.485 B. 0.845 C. 0.548 D. 0.854 E. None of the above

A: Topic -  trigonometry  0.854   option d is the correct answer

Q: (7-cos"(x) cos(x) sin(x) e dx = A) 7 ese(x) +esla(x) +C B) 7 sin(x) -x+etincx) + C C) other

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Q: V. Inverse Trigonometric dt 1. S tvt²-a² (t²+1)dt 2. S (t²+4)

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Q: 1. Find (sin?) A 2 sin z cos a x* B 2 sin r" coS T* 1²-1 1. C 2 sin r? cos T² r² Inr D 2 sin r*…

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Q: sin 2t sin 5t s + 3 s+ 7 None of the choices Option 1 10 g4 – 58s² + 441 s2 + 32 - 72 Option 4…

A: Given: ft=sin2t·sin5t Calculation: Obtain the laplace transform of ft as follows. It is known that…

Q: Q No 3.Evaluate (a) S - (1-cosx}idx (cosz(1+cosx)(2+cosz)jå (b) S **(cos"i 3=)*dx Vi-92

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Q: sin³ydy |1+ cosy The is equal to 1 A.cosy +, cos²y+C 1 B. –cosy +, cos²y + C 1 C.-cosy -, cos²y + C…

A: Use the following: 1.sin2y=1-cos2y2.1-cos2y=(1+cosy)(1-cosy)3.∫xndx=xn+1n+1+c

Q: u = - e' sinhx satisfies one of the following Harmonic и 3и y u = - u Not harmonic

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Q: 2. An object moves along a coordinate line. Its position S in meters from the origin at any time t…

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Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate sin³ydy Ssin'ydy -…

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Q: cos (a + 8) y= dy Find da dy Immum dx Type sin(x) for sin(x), cos(x) for cos(r), and so on. Use x^2…

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Q: x = 3(2cost- cos 2t) y = 3(2 sint - sin2t) = 2(1+cose) 17. the cardiod -8 -6 -4 -2 18. -2 the…

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