1. Find cos(u – v) given the following information. 4 sin u = us 5' sin v =

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Q: A-Show that S 1, L{cos at} s2+a²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: -똥, V5 with s in quadrant Il and let sin(t) 4 8) Let cos(s) = -, with t in quadrant III. Determine…

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Q: Eliminate the parameter t in the following. x = cos 2t, y = sin t

A: Given that x = cos 2t; y = sin t To eliminate: the variable t Needed formulae: cos 2t = cos2t -…

Q: If z = +i then Im(coshz) A) –sin1sinh4 B) cos1cosh4 e* +e* C) cos1 2 D) sin1cosh4 E) sin1

A: Topic:- hyperbolic function and complex number

Q: 3. S cos ædæ from a = 0 to b = 5

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A: Please see the answer in step 2

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Q: (1.1) Calculate the following: (2² + y? – 3xy + sin(x²y+ y?)). -

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Q: Given that sĩn = %3D 2 |cos 플 호 and COS %3D sin = cos 4 = show without Ee using a calculator that…

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Q: 9. dt + 을 = COS t + Answer: s = sin t + 을..

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Q: 10. Compute the following: »TT/4 (a) COS dx 3 (b) dax

A: Part (a)-Given:

Q: Photo attached

A: Given:

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A: Answer and explanation is given below

Q: If x = sin2 (u) and y = cos² (u), then dy is : dx а. 1 b. cot(x) C. tan(x) d. 1-

A: Differenriate

Q: 0° S (c) Prove that: 2cos 20. cose 2 + 2 tan0. sin0 = %3D cos?e – sin? e cose o AEGW is drawn.

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Q: 4. Evaluate the following and give the exact value: - Tt/4 r2 cos 0 crsin 0 r2 cos 0 dz dr d0 0,

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Q: help!

A: Refer to the question, we need to sketch the provided function.

Q: Question 17 D The length of the curve y = sinI from I 0 to r 37/4is given by %3D 3x/4 sin rdr 3/4 B…

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Q: 1+e² sin z + z cos z

A: Introduction :

Q: 2. Find the antiderivative of COS -2 sin a Simplify dr

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Q: sheet 1 Salve the following -(0°+4)y=sin2x Ans. ypニーX cos.2X P=ーx2 %3D 5- (0-20-)y=ecost X2

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

Q: If f(1, y) = e“ sin 7y, then fay is given by: o - 28 et sin 7y O - 28 e“ cos 7y O 28 e" sin 7y O 28…

A: Given that: f(x,y)=e4x.sin7y

Q: 41 cos t dt = 1+ sin?t /2 If q sec e de, then a = b = and q =

A: Solve the integral in the following way:-

Q: Eliminate the parameter t from the following. x = 1 + 2 sin t, y = 4 + 2 cos t

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Q: 1/w cos Tº If h(w) = 10 -dz then h'(w) = (m),4

A: Given:-h(w)=∫101wcosx9x2dxTo find: h'(w)

Q: 1. If Z = sin r+ 2 I+1 6. - ", find dZ/dr.

A: differentiate with respect to x

Q: Q 5. (a). Simplify the following by using Demoiver's theorem. (1 – cos 0 + i sin 0)6

A: Given  the given expression is 1-cosθ+isinθ6. Apply Demoiver's theorem cosθ±isinθn=cosnθ±isinnθ

Q: Which of the following is equal to s v² cos (v³)dv ? A sin 1 8 jsin 1 O Option 1 Option 2 D. sin C.…

A: The solution is Option B 13sin(1)

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

A: We have to find

Q: 2 (cos Fe tisin) - fsih 똥) Q) put Vz (cos 3+P sin I) 6. in expoitial hor m

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Q: Determine the exact measure(s) of 0, where 0° < 0 < 360°. and Cos 0 = 1. %3D

A: To find:- Determine the exact measure(s) of where 0°≤  θ ≤ 360° Given equation cos θ = 1.

Q: 5. Find L {e" cos?t cos t

A: The Laplace transform of a function f(t) is given by the formula: The Laplace transform of the…

Q: -y'-Tany = x" (n # 0) 1 Cos?y

A: We change it into first order linear equation and then solve.

Q: 29 yn C ini n0 Ca 22. Evaluate cos-1(sin ). 16 h cowor

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Q: 2π π14 cosφ SSS p' sinødp døde 0 0 0

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Q: 7. Find the length of the curve: r = 1 + cos 0

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Q: 7. sin A = [ Select] %3D 8. cos A = [ Select ) 9. tan A = I Select)

A: Given,

Q: 2. %3D 8. Assume that cos(r) = 15 for r in quadrant IV. Find sin(2.r), cos(2r), and tan(2r).

A: Given - cos(x)=1517, x is in fourth quadrant.To find-sin(2x) , cos(2x) and tan (2x)Here we will use…

Q: Find the values of z satisfying cos Az = 0 2

A: Result : General Solution of  cosx=0 is x=(2n+1)π2

Q: 28. Inside the circle r = –2 cos 0 and outside the circle r = 1

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: 1 La So cos " dy dæ COS evaluate

A: We are given the Integral: ∫π2π∫0x21xcosyxdy dx=∫π2π1xsinyx×1x0x2 dx=∫π2π1x2sin xdx It cannot be…

Q: Compute the indicated quantity using the following data. 15 sin a = where <α<π. 2 3 cos B = - where…

A: We will proceed as follows...

Q: Find cos(u – v) given the following information. 4 sin u = 5' 3 2 1 sin v = 3' 2

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Photo attached

A: Given: