Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

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Q: Find dy/dx in terms of z and y if cos² (3y) + sin² (3y) = y + 15. I

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Q: b. Stos-¹0 ¹(y) sinx √1+ sin2x dx dy

A: The given integral is, ∫01∫0cos-1ysinx1+sin2xdx dy. To find : Evaluate the integral. To evaluate the…

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

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Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: cos2x – sin2x cos2x For +C: What is F(x)? dx= 3 cosx - sinx

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Q: 23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27.…

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Q: 5.) Scesin 2 sinl 3x) - 5 cos ( 2x))·dx

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Q: Find f. f "(t) = 8e + 8 sin t, f(0) = 0, f(n) = 0 8e' + 8 sin (t) + 8 – 5e" -t - 8 f(t) = | Need…

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Q: d (x2+2x)(sin(x)+5) 7. Find: dx Зx+2

A: To find:

Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

A:

Q: For which R is (cos(V), sin(v)) = {(x, y) : x² + y² = 1}. Briefly justify your answer.

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Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

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Q: (x) = x) = 2sinx coSx %3D d f(x) = (2sinx)( – sinx)+ (cosx)(2cosx) dx

A: Given that fx=2sinxcosxTo find ddxfx

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Q: 4 fcos 3x sin³ 3x dx

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Q: For sin(u/2), cos(u/2), and tan(u/2) given cos(u)=-sqrt2/3 and sin(u)>0 I got…

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Q: If f(x) = sin?x, then f"(x) = %3D A 2cos2x B cos2x -sin2x D -4sin2x

A: Given, f(x) = sin2x For the given function , applying chain rule ,  First differentiate it as { xn ,…

Q: Evaluate sin (ax) (ax) V3 (2ах) da Cos

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Q: f(x) = cos3(4x-1) Differentiate the equation

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Q: / (cos(x) + Ex dx 4 +

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Q: sinx(tan(x/2))-sinx=0

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Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

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Q: I am not fully grasping the transformation from sinx to tanx and from cosx to tanx in step 2 of the…

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Q: Find f' (x) : f(x) = /16 sin² x + 9 cos?

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Q: Choose the correct answer If f(x)=ln⁡(cos⁡(3x)) , then f"(x) =…  -9 sec2 (3x)  9 cos2 (3x)  9 tan2…

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Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: Find f' (x) : f(x) = V16 sin? x + 9 cos? x

A: