10л. 5T +i sin 14 5T 10T +i sin 7 Let 1 = 41 cos and =, = 8 cos 14 Find the following. Write your answers in trigonometric form. Give exact values in your answers (not decimal approximations). JT (a) , = | (cos ( + i sin %3D -0 (cos O +i sin 0) (b) -

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A: The given position of moving particle is, x=4-0.1tsin0.8ty=4-0.1tcos0.8tz=0.4t32

Q: 3. Obtain in two ways the general solution of (r + sine - cose ) dr + r (sine + cose ) de = 0

A: Use substitution method

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A: We have to find solution of given integral.

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Now

Q: 1. Determine solutions to sin 2x = , x€ [0, 2x) 2x sin() 2x 0.73 %3D %3D accurate to 2 decimal…

A: Explained below

Q: 1. Determine solutions to sin 2x = , xE [0,2x] 2x sin () accurate to 2 decimal places. 2x 0.73 X0.36…

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Q: This gives us Ma - + [12 cos(금) + 12 co여(음)+ 12 cos() + 12 cos(용) 49 64 (rounded to six decimal…

A: 1/4(12*cos(1/64)+12*cos(9/64)+12*cos(25/64)+12*cos(49/64))…

Q: 06:- Find the result of the following. (Choose two only) 4 1- 2-Si(Vx+ dt OLLI x² 3- 7 sine do

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Q: The displacement x of a moving object at time t is given by the equation x= sin (2t)cos (2t) For…

A: Given integral is ∫sin42tcos32tdt

Q: If k0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to [−sin(kx) + sin³(kx)] + C the…

A: To evaluate the integral.

Q: 2. Given 0 <0 < 2n, what are the extraneous solutions for the equation cos 0 cot 0 = 3 – 3 sin 0?

A: Put value in function if LHS is not equal to RHS then extraneous solution

Q: 9. The position of a moving particle as a function of time is given by: x = (4 - 0.11) sin(0.81)…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: 3. Eliminate the Arbitrary Constants (C, and C2) in the equation. (25 pts) y = C,cos (At) – C2 sin…

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Q: 3- If a y + sin y + arctan a = sin 1 then what is the value of at (0,1)? dz -2 b)- 1+ cos 1 -1 1 a)…

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Q: Q1: Use the Improved Euler method to find y' = cos2x + sin3x ,0<x < 1,y(0) = 1, with h = 0.25. %3D…

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Q: Express the number 7/3 – 7i in the form R(cos(0) + i sin(0)) = Re", where R>0 and -n < 0 < T. NOTE:…

A: Given complex number is 73-7i Let 73-7i=Rcosθ+isinθ                       . . . (1) where R&gt;0 and…

Q: (1 + cos 7t) 2 sin 7t dt

A: Here we use u-subsitution to evaluate the integral. d(cosx)dx= -sinx

Q: 16. i) Find in radians, the general solution of the equation sint + sin30 = sin20. ii) Given that…

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Q: 1) z = 6| cos 3T +i sin 2 +i sin 6 W = 12] COS 6 Find 2.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: CoS X • dx Caleulate 4.3 sin x 2.

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Q: Express the number 2/3 – 8i in the form R(cos(0)+ i sin(0)) = Reo, where R> 0 and -T <0 <T. NOTE:…

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Q: Determine the exact values of each of the indicated trig functions for the problems elow 24 9. cos 0…

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Q: 8) Determine the smallest positive roet of the equation - 0.0i t sin (0.573t) -e

A: To determine the smallest root of the given of the function we will use Newton-Rapson method with…

Q: 1. Given 0 ≤ 0 < 2t, solve -2 sin2 0 + cos 0 0 1,ㅠ ㅇ 지 ㅇ 警, 풍 ㅇ 쯤,ㅠ, 품 -1.

A: Let's solve trigonometric function.

Q: Question 3 in picture

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Q: 1 Using the trigonometric substitution x = cos(0) I found that: 1 sin(0)cos(0) 10 1 -0 + C 10 Your…

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Q: Two masses hanging side by side from springs have positions s1 = 2 sin t and s2 = sin 2t,…

A: (a) Obtain the time in the interval at which the masses pass each other as follows.

Q: 4. Find the value of x. Round to the He 50 16 5. 5. Find the value of x. Round to the nearest…

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Q: e. Find sin (x – y) given that sin x = 8/17 with 0 < x < 90° and cos y = -24/25 with 180° < y< 270°.…

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Q: 3. Calculate L {e=# cos(2t – 7)} COS

A: Given function is as below :

Q: 19. z = sin (20), y = cos 0;

A: We have to find

Q: Determine solutions to sin 2x , xE [0, 2x] 2x sin() %3D accurate to 2 decimal places. 2x 0.73 X0.36…

A: 1. According to question,Given equation,sin 2x = 23,x∈0, 2π

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Q: Q1:- Solve the following DEs:- xy2-cos x sin x y' = У(1-x?)

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Q: 11. Test the equation for exactness and solve for the general solution. (sin 0 – 2r cos² 0) dr + r…

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Q: 1. Determine solutions to sin 2x , xE [0, 2x) 2x = sin () 2x 0.73 %3D accurate to 2 decimal places.…

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Q: 5. Given 0 < 0 < 27, solve cos² 0 = 1 – sin 0. ○0, 플,T O 0, 플, , 플

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Q: 1%1… l.令 > OX 101:00 i learn.ejust.org/current, :D tan-(x) dx = %3D V3 n - In (8) - In (2) V3 None…

A: Since you have asked multiple question, As per our guidelines, we will only solve first question.…

Q: 2. xy' - y = y' cos 3x

A: Given the differential equation

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The given indefinite integral ∫1+cos4t2dt can be evaluated as, ∫1+cos4t2dt=∫1+cos2tdt…

Q: The displacement x of a moving object at time t is given by the equation x= sin (2t)cos (2t) For…

A: Topic = Integration

Q: Express the number 8/3 – 6i in the form R(cos(0) + i sin(0)) = Re", where R 0 and -T <0 < T. NOTE:…

A: Please check step 2 for solution

Q: I. Determine the exact values of each of the indicated trig functions for the problems below 8. sin…

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Q: 19. Given 0 <8 < 27, solve tan 0 =-V3. %3D 5x

A: General Solution   tanθ=-3θ =2π3+nπ