Q: Evaluate : fe 1- cos 2ax dx. 1+ sin 2 ax 2ax

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Q: S./2(sec²x – cos²?x – tan²x)sin5xcosxdx -

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Q: 4T then 3 If 0 = sin(0) = %3D Give exact value.

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Q: 2 y" + 4y = cos? x.

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Q: secx 3 Cos%dyd%

A: The given integral is: I=∫-π3π3∫0sec x 3 cos x dy dx

Q: Practice by Evaluating 1 VI-x² cos(a² + y³)dydx 0.

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Q: Find a particular solution to y" + 36y = 24 sin(6t). %3D

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Q: Evaluate ſe* 2x cos 2x dx cos 2x a) 2esin 2x + C b) -+c 2 c) ecos2x +c sin 2x e d) – +c

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Q: 2z2 cos 5z dz EVALUATE.

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Q: 3. Find . a. y ( +2r + 10) cos(r)

A: Find the derivatives of the given functions. Use the derivative formulas:…

Q: 1- cos4x sin?xcos?x %3D 8

A: some formulas: 2sinxcosx=sin2x1-2sin2x=cos2x2cos2x-1=cos2x Given expression is: sin2xcos2x Multiply…

Q: only 8 please

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Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

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Q: 8x O B. [5 sin 5x + 8 cos 5x] + C 89

A: The given integral is, '

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Q: for 0, where 0<0< 2n sin 0 = cos0 %3D

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Q: The f sec$30 sin 30 d0 is {A} sec*30 + C 12 {C}-cos*30 + C {D}cos 30 + C 12 {B} sec 30 + C 18 18

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Q: 9- for y = cosx is dx a)sinx b)sin2x c)-sinx

A: As per the bartleby guideline for the multiple question it is allowed to solve first question of…

Q: and y = 3 cos 2x for 0s

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Q: sketch r=2 Sim (Q-Ę) Cos co-E)

A: First simplify the function v=2sinθ-π4cosθ-π4 . Use the formula :2sinθcosθ=sin2θ to simplify .…

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Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: The period of y = 3 cos 5x is 2 TI 2 T1/5 2 π/3

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Q: 7/2 sin 7x cos 5.x dx JO

A: Recall: 2 sin(A)cos(B)= sin(A+B)+sin(A-B) ∫sinax dx=-cos(ax)a+C

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

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Q: sin 4x Cos 2x d x 9- 4x?

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Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

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Q: The question is to, find a general solution and to show the steps of derivation.

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Q: xp sin 5x cos 3xt cos 5xsin 3x xp x²+ 2x + 5 EX Find:

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Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

Q: If fx= cos³4x Sin 4x,then F(x) + C is ?

A: Consider the given function. fx=cos34xsin4x Now, find the integration of the function.…

Q: +C 498 (9y) - sin° (9y) dy : COS

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Q: 1 -sin(16x) = x cos(16x) -2 %3D D +256 16

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Q: Q2) a) Find an® sec²y dy b) Is cos4xv2-stn4x dx = (2- sin4x) +Ctrue or false? show me

A: Use fundamental theorem of calculus for part (a)  For part (b) use substitution method

Q: Hf sin x = A + B cos 2x +C cos 4x, then A = %3D C =

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Q: Determine whether the following statement is true or false. If y = sin¹ (4x4), then = 16x³sin³ (4x4)…

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Q: Tt/2 2 sin(2x) dx 4– cos(2x)

A: The solution is:

Q: V125 cos j sin 11 11 1. Simplify Expr cos 11 + jsin

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Q: sketch r=2 Sin cQ-E) Cos co-Ę)

A: v=2 sinθ-π4 cosθ-π4

Q: The reverse order of ² sinx cos² dxdy is ² ² ½ sinx cos² dydx y x False O True O

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Q: Evaluate 2T 3 ["* cos³² (w) sin³ (w) du dw. π

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Q: Differentiate: y = 2 cos² (x² + 2) %3D

A: Given that, y=2cos2(x2+2)

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Q: Differentiate (sin(ax+b)/cos(cx+d))

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Q: What is the period of y = cos(nx). А. 2 В. 1 С.п D. 2л

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Q: Using the Method of Undetermined Coefficients, give an appropriate guess for yp. y(4) + 9y" =…

A: Given the DE is y4+9y''=cos3x+4x2. Guess the particular solution of the DE.

Q: (2D – 5)y = sin 2x – 7 cos 2x -

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