dy If x=5+ cos20 and y=3- sin20 , what is -? dx (A) cot20 (B - csc320 © none of the given choices D csc 20 (E - cot20

Q: 3. S sin®2y · /cos2y d|

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Q: dy If x=5+cos20 and y=3- sin20 , what is ? dx

A: The solution for the above question is as shown below.

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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Q: Solve the fllowing D.E +4y= cos x - sinx 2. CoS X %3D

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Q: Recall that cos- arccos x. Find r1/2 e sin(cosx) dx. 0.

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Q: dy If x=5+ cos20 and y=3- sin20 , what is dx

A: We have to solve the problem

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Q: The position at time t ≥ 0 of a particlemoving along a coordinate line iss = 10 cos(t + π/4). What…

A: The position at time t ≥ 0 of a particle moving along a coordinate line is s = 10 cos(t + π/4) We…

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Q: S 5 sin(3x)e2cos(3r)dx

A: Solve integral by substitution method:-

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A: Use substitution to solve

Q: a) (sinx + cos 2x)dx (+1) do b) S dx c) S (x+2)(x2-6x+5) 8 cot(In 8)

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Q: Pre cal How do I evaluate?

A: Given expression

Q: 7. d. cos 0 cos 20 + sin 0 sin 20 = V3 over 0, 2t)

A: We know the sum identities: sin(a+b) = sina.cosb + cosa.sinb sin(a-b) = sina.cosb – cosa.sinb…

Q: 26) y = tan((T/6)x) Period: TT. -217 -ㅠ TT 21T -2 -1 -1 -2 -ㅠ MCL @01 %24 ElN-

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Q: dx = 1– cos(bx) Select one: a. br – In sec(bx) + tan(bx)| + C b. – csc(bæ) – cot(bæ) + C - - In |1 –…

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Q: cos(3t) sin(8t) dt

A: we use  2 cos A sin B = Sin(A+B)-sin(A-B) sin(-x)= sinx

Q: cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

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Q: du = 3 and dx dy = cos u, find the du dy Given y = sin(3x – 2). If dx 3 cos(2x) 3 cos(3x) 3 cos(3x –…

A: Topic:- derivatives

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A: Some of the properties of the inverse Laplace transform L-1aF(s)+bG(s)=aL-1F(s)+bL-1G(s)…

Q: ∫cos(3t)sin(8t)dt

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Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: sin-(ry) = cos-(r – y)

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Q: 144 142 cos (4x*) dx dy 0 „1/2

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Q: 1(y) = In(sin(cos(y²))) %3D

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Q: I= ( cos(In(x)) dx 13- I =

A: GIven that: I=∫cos(ln(x))xdx

Q: Evaluate the integrals

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

Q: The integral So (cos(3x))² sin(3x)dx under the change of variable u = cos3x becomes - ov 29 9/29 u?…

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Q: Q57.a) Find if y=sin(tant) and t=cos(x) dx

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Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: cos-(siny) dx dy = -29

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Q: d 1. sinx dx = - cos x + C because (- cos x+C) = _ dx

A: The first question is ∫sin(x)dx=-cos(x)+C

Q: Q5. If x= a.sin 0 and y = b.Cos 0. Eliminate 0.

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Q: cos³ 4y /sin 4y dy

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Q: 6. S sin*(e³*) cos(e³*) e³× dx

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Q: у" + 4y' + Зу %3D sin (e*)

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Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: 211 2E1 sin nx dx = cos nx dx 0, where n integer.

A: To show that ∫02πsin nx dx= ∫02πcos nx dx=0 Where n is integer.

Q: S 4 cos (x) sin (x) dx = %3D

A:

Q: S cos(e) In (sin(0))d0

A: We take the help of integration by parts in solving this problem

Q: Integrate x cos(2x^2+7) dx. Select the correct response: O sin (2x^2+ 7) + C

A: Integrate using substitution method.

Q: t/2 SL cosx/1+ cos²xdxdy is equal to 0, siny

A: Consider the iterated integral, ∫ab∫f1xf2xfx,ydydx In this iterated integral, the integration is…

Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: dy 1- Sinx+ Cos2y3D0 dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: e* cos (7e*) cos (4e*) dx Evaluate: --cos (3e*) -cos (11e*) + C (A 22 B 6 (3e*) +cos (11e") +c cos…

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Q: 211 211 ( cos nx dx= | [cos nx cos nx dx 0.

A: given that                               ∫02πcos2nxdx=∫02πcosnx cosnx dx=0 now,…

Q: : s ech[In cosx]tanx dx Evaluate: A None - 2 tan-1(cosx) + C 2 tan -1(e cosx) + C CoSx (D - 2 tan…

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Q: d) cos (5æ) cos(7r)dx e) S tan e sec“ rdr

A: we have to find the following integral