d. t sin 2 dt COS dx 3

Q: c) dx E (sin cos) dt

A: We find ddx ∫xπ/2   sint2   cost3 dt

Q: Solve the DE: dy sin ) + dx II

A:

Q: dy Find dx from the equation y = sin[cos xy].

A: Explanation of the answer is as follows

Q: (3t+t²)sin (2t)dt

A: We have to integrate the function        (3t + t2)sin(2t)

Q: d²y Find 2 dx? y = sin 2x+cos² x

A: Using derivatives.

Q: re SE cos (x- In(x))dxdy

A: Since,  the  given  ∫y=1e∫x=1e1y  cos x-ln x  dx dywe  have  to  find  the  value  of the given

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

A: We have to solve the problem

Q: j) S (2 cos a – e) dx

A:

Q: (a) J x cos x dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (d^2 y)/〖dt〗^2 +16y=cos ⁡t

A: The given equation is; (d2 y)/(dt2) +16y=cos ⁡t

Q: Given that y = sin (t) and x cos²(4t*), hence find dx dy

A:

Q: 2 sin(t) s(t) = et

A: Part (a) The displacement of the object is, s(t)=2sintet Integrate the expression with respect to t…

Q: t sin(2t)dt.

A: Given : ∫tsin2tdt

Q: ∫(3t+t²)sin⁡(2t)dt

A: Given that, the integral is ∫3t+t2sit2tdt.…

Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

A:

Q: d ( cos(Vr ? +1)dt Find dx -2

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Q: •T/2 cos“ x dx. OS

A:

Q: d 27. dx ], cos t dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: T/2 S cos (x) sin°(x) dx = %3D

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

Q: ? cos i dt

A: You must have idea about integration by parts.

Q: Find dx/dt: x = 2[cos (t/2)]^2

A: x=2cost22

Q: dw "(1),y = sin (1),-: 2) w=+ x= cos at =3 Ans. -1 dt

A:

Q: derive 8t sin t (d) s %3D cos t t5

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Q: dy Find dx 1. (a) y= cos (sinx)

A: topic - derivative of a function

Q: dy Find dx 1/4 | sin (?) dt y =

A:

Q: Find dy : (a) y = cos(1 Ix + 5x) dx

A: Topic:- calculus

Q: find dx/dt x=(cos2(t/2))

A:

Q: 3x d. Evaluate dx COS cos (3t – 1) dt

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Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

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Q: T/2 sin d. t COS - dt dx

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Q: Find dx/dt Xt2 = x – cos1 (t)?

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Q: d 2x Le arctan t dt dx

A:

Q: d (cos – sin) dx 4

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Q: dy = sin (t) and x= cos (5t-2), hence find dx Given that y 3=

A:

Q: b) ſ cos (Inx)dx=?

A:

Q: d 6. dx sin(t) dt

A:

Q: xta 4. ) dx メ+b sin t cas

A:

Q: Find dy dx the function y=2 sin 3X cos 2X

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Q: d (e*co cos x) dx

A: We have to find  d/dx(ex cosx)  We know that  d/dx(pq) = p'q + pq'  Here ,  p = ex , q = cosx  Then…

Q: dy Find dt y = tan ( sin (4t - 3))

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Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

A:

Q: 1.) dx = t (1 + t2) sec?x dt ans: 2x + sin2x = (1+ t?)² + c

A: Since you have posted multiple questions in this question i can do first question as per our company…

Q: d Cvaluate dx cos (r² + 1) dt

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Q: S 6 ttan t dt = %3D dx Jx

A:

Q: dy 1 cos t + 1 dt 2 || ||

A:

Q: find ds/dt. s = sin t/1 - cos t

A: Given    S=sin t1-cos twe have to find dsdt

Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,

Q: d. a) dt [8 sin 1 2t] = d. b) |7 cos s 1 5 dx d. 3u] = -1 c) 10 sec du

A:

Q: D. ( [ 3° cos"(5t) dt sin(z)

A: