Part B. Find dy/dx in simplest form. Question 5 sec" x sec³x y= 7 5 Use the editor to format your answer Question 6 y = x2 cos x - 2x sin x – 2 cos x |

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

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Q: Question 3 What is the general solution of 6y(2y sec2r + tan2r)dx = cos2r(4y- 3sec2x 18y tan2x)dy ?…

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Q: S .2 4. sin x cosx dx

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Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

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Q: Question 38 dy Given that y = (1 + tan(2x))^, then dx 8(1 + tan(2x))³ sec² (2x) O4(1 + tan(2x))³…

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Q: 4. Se2x sin(3x) dx

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Q: sin() dp cos (4)

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Q: 1/12 cos 2x dx

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Q: Question 4 Find the solution of the D.E. below: x cos? ydx+ tan ydy = 0 A y2+ (tanx) 2=c B x2+…

A: We will use separation of variables technique to solve the problem.

Q: Question 9 The integral - dx (x²+4)² can be transformed to which of the following when trigonometric…

A: The given  integral can be transformed to which of the following when trigonometric substitution…

Q: 3. Given the equation y = In(cos(x)): What is dx/dy? secx -seox -tanx -cotx None of the choices.

A: I am attaching image so that you understand each and every step.

Q: 1. 2. (D² -3D+2)y=sine-*

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Q: Question # 1: (a) If = y+ 3 and y(0)=2, then find y(ln2) (b) Evaluate f 1 dx (sinx+cosx)2

A: Explanation of the solution is given below....

Q: Question 3 Use the trapezoidal rule with n = 5 to approximate %3D 2 cos(x) dx. Keep at least two…

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

A: Solve integral by substitution method:-

Q: i) Find sin 6x+ cos 4x dx. 3 ii) Evaluate || et -dx . Hence, solve 2e* dx . (* +2)" +2

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Q: Question 3 4. a) Integrate tan (0) sec (0)d0.

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Q: Question 15 Find /dx² at the given point without eliminating the parameter. =0+cos and Y=1+sine…

A: Given: x=θ+cosθ , y=1+sinθ To evaluate: d2ydx2  at θ=π6 We know that we can write dydx=dydθdxdθ

Q: If y=tan(arcsec/x), then dy/dx is none of the given choices sec²(arcsec/x) B -1 2(x-1)…

A: Derivative problem

Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A x-1 B 2(х- 1) x-1 2(x-1) sec-(arcsec/x) D 2x E…

A: Let's find.

Q: Question 6 |5x sinx dx = 5x cosr +5 sinx +c OA. 5x cosx -5 sinx +c В. OB. -5x cosx +5 sinx +c Oc.…

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Q: 3.x cos 5x dx 5. ( re'/2 dr

A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1…

Q: 3) Find the value of cos(6x) dx.

A: Recall: ∫cosax dx=sinaxa+C

Q: Question 2 Evaluate x cos(3x) dx. .2 x° CoS Question 3 Evaluate e" cos (2x) dx. Question 4 Evaluate…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Question 3. Find cos x da In x (sin æ) () dx. | (In æ)?

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Q: Question 003: Complete the following question involving Substitution Method. Given the integral S8…

A: Given : ∫8sin3x-7cos3x-75dx

Q: Question 6 The following DE sin(x) +y cos(x) =1 can be written as dx cosx) dy 1-y xp sin(x) None of…

A: topic - differential equations answer is none of these

Q: 2 + 3 sin 2x The value of 3x dx equals 1+ cos 2x

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Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

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Q: CoS X • dx Caleulate 4.3 sin x 2.

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Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: If y=tan(arcsec/x), then dy/dx is x- (A 2(x-1) X-1 B 2(х - 1) sec (arcsec/x) 2х sec2(arcsec/x) D E)…

A: Solution :

Q: f/² () sin cos (sin (²) dx (Consider initially the first 2 terms)

A: To evaluate: ∫0π2sinx3cos4x3sin2x3dx Let I = ∫0π2sinx3cos4x3sin2x3dx We know that  sinxcosy =…

Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

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Q: Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c)…

A: here problem of differentiation we use d(u*v)/dx rule d(u*v)/dx = u*dv/dx + v*du/dx so answer is…

Q: Solve the equation below. (cos x – 1)(2 sin x + 1) = 0 if 0 sx< 2n. %3D

A: Given: cosx-12sinx+1=0 Solve the expression for x. cosx-1=0cosx=1x=cos-11x=2nπ

Q: 3 1. cos x - 5 dx -3

A: The given integral is ∫-34 cosx-3x5dx. Evaluate as follows.

Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: 5. (1+ cos 3x ) dx

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Q: If y=tan(arcsec/x), then dy/dx is x- 1 A 2(x – 1) sec2(arcsec/x) В 2x sec2(arcsec/x) D none of the…

A: We have to solve the problem

Q: /2a cose 2 Se sin æd &d pdp 0 0 0

A: I=∫0π4∫02acosφ∫02πρ2sinφdθdρdφ

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

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Q: QUESTION 2 If y-sin-¹ z, show that d'y Hence, deduce that -(1)-(2) - <- 0. dz = M dz dz

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Q: 10. 4 COS dx 2

A: the given integral is: ∫cos4x2dx we have to evaluate the given integral.

Q: 24) y = Sin' 2x.Cos2x (ans

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Q: 5TT i sin' cos*dx 4x. 4x, 8. 5

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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