find x? dx x² + 1 16x dx 8x? + 2 1. 2. dx cos² x tan x 3. (sec x – tan x)² dx 4. T7/4 dx dx 5. V1 – x² 6. Vx 2ln z dz 16z -cot z dz sin? z 7. 8. dz 8 dx 9. 10. e + e¯? x² 2x + 2 4x2 4 dx dx 2х + 3 11. 12. 1 + (2x + 1)² dt csc t sin 3t dt 13. 14. sec t 1 + sin 0 do d0 15. 16. cos? 0 V 20 – 0²

Q: Integration techniques: Use whatever method you like to solveeach of the given definite and…

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Q: Can you help me step by step?

A: Using the formula of derivative of quotient of two functions, that is, . And using , we have,

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin-1 5x)…

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Q: Q1: Find dy for the following a) y = tan-1(sinx) + In (sec2x) + 8tan5x + etn dx b) y = sec (x') +…

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Q: The appropriate change of variables for the dx is Vx²+2x+10 O x=10 sinØ O x+1=3 sinØ O x-1=2 tanØ O…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 5 dx Find dx, x> V25x? -9 5x In 25x2-9 + C 3. sin-13x+c 1+9x2 +3x|+c 1 V1+9x? + C 3x 3. + C V25x2 -9…

A: The solution is given below in the next step:

Q: auli dxp. 2 13+ cosx sinx 11. Find the integral arctan| cos x/ 13 +C 13 a. V13 cos x +C 13 b. 13…

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Q: Evaluate S{ [tan (x) – 1]² – sin ()} dx O a. tan (x) – 2 ln|seca|+a cos (플) +C O b. tan (x) + 2 ln…

A: Let I=∫[(tan x-1)2sin xπ]dx        =∫tan2x-2tan x+1-sinxπdx     =∫sec2x-1-2tan x+1-sinxπdx…

Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

Q: 5. y' = x' – 2xy; when x = 1; y = 2 =-1- 2r cose = cosx cos? t 8. y(x + 3y) dx + x² dy = 0 9. 3x 3…

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

Q: Find Domain and Range бяц tue Ⓒsin (x+3) +2y x²+2y 3x + y² 3) 3x + Sin (3x) +2y+Z² Ⓒ x+2y cos2x…

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Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Given: x = sin (3x + 4y) Find: dy/dx Ans: sec (3x + 4y) / 4 - 3/4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: RFind dy/dx in terms of x and y if cos²(8y) + sin²(8y) = y+4. |

A: Given query is to find the derivative of the given expression. Pp

Q: S sin 7x dx is equivalent to which expression? A S(1– cos²7x)(cos 7x) dx B. S(1 - cos'7x)(sin 7x) dx…

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

Q: 13. For J* sin x dx, what is u? sin x dx 2x dx -x cos x+ 2x sin x+2 cos x +C Oc. OD.

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Q: Find the solution. dy 2y - =x?y%sinx dx 1 A y = x2(sinx – c) y = x²(cosx+c) 1 y = x²(cosx+c) 1 y x (…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: dz 1) Find ifz = 3 cos x – sin(xy),x =y = 3t - dt

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…

Q: 1 dx x +c, find- dx exactly where c is a constant. 5. If 1+cos x = tan 2 X 3+3 cos 4 n dx tam S c /+…

A: It is given that

Q: Find dy/dx for the following : 9) y* = sin-1 x %3D 10) y = xtanx + sin-ly 11) (Vy)* = (In…

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Q: Bernoulli’s Equation xdy − ydx − xy^3dx − xy^3 ln xdx = 0

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Q: 3. Find dy for each of the following. dx (b) y = cos²(cot()) tan x (а) у %3D Vx4 + x2+3 (c) y = vx2…

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Q: (1) (sinz) + (cosr)* sin x COS x (2) tan x in terms of sin x, cos x %3D d. d. ( sin x COS X %3D dx…

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Q: For S* sin x dx, what is dv? sin x dx OA 2x dx - cos x+ 2x sin x+2 cosx+C O.

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Q: dy 2y 4. If tan(xy) +5= xy then show that dx?

A: tan(xy)+5 =xy Show that

Q: 1. S sin (2x) dx [sin(In x) + cos(In x)]² dr -dx 2. 4 3. S 3x/10 In(3x) – (1In(3x))? xp: 3(cos x)? +…

A: According to bartlybe guidelines I have right to solve only one question at a time..... Please put…

Q: 1 cos 3x dr b) VAr + 7 (In z)3 dr xe²? dx d) ſ e™ sin(e") dx e) f) sin x tan x dx (Hint: tan x = cos…

A:

Q: * (s in-(x))² dx = V1-x2 Select one: а. sin-(x) + C 1 - x? b. (sin-(x))³ + C 3 C. sin-V1 - x²) +C O…

A: With the help of substitution method, integration is solved.

Q: Find the solution. dy sin x x-+2y +2y = y (2) = 1 dx (A) y = (4 + sin 2 + cosx?) /x2 B в су %3D (3 —…

A: Given differential equation  xdydx+2y=sin xx,   y2=1 Linear differential equation with initial…

Q: dy Find as for y = x - x sinx O 1) - 1 - 3x² cosx - x³ dy sinx dy O 2) = 1 - 3x² sinx - x³ cosx °…

A: Differential

Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

A:

Q: x³ + y³ + 3 x² siny tan z = 5 az dz and əx Find ду

A: Given,          x3+y3+3x2sinytanz=5

Q: dy Find if y = ln x5 + e-cos 2x – In e?. dx dy 5 ,cos?x-sin2 x dy 5 4 sinx cos x = - dx e sin2x-cos2…

A:

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In ( 1 + (Inx)2 + (In vx) 3 3x 2) y = tan-1…

A: Use formula of derivative  to solve

Q: Find the solution. dy X-+ 2y = dx sin x y(2) = 1 A cy = (3 – cos 2x – tanx)/x? B x = (2 + cor2 –…

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Q: Find dy/dx for the following : 7) y = 3ln (sec2x) eln(cos-1x²) sin/x 8) y = csc Vx 9) y* = sin-1 x…

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Q: dy dx (1) In(x - y) = xy + y³; (4) y = x sinh 2x -cosh 2x Q5: Find for the following functions: (2)…

A: Note: As per guidelines of bartleby we can solve maximum 3 subparts of a problem. Please upload…

Q: Find dy and simplify whenever possible. dx secx+tan x 1. у %3 sec x-tan x - 2. y = e-* cos e¯* – sin…

A: 1. y=secx+tanxsecx-tanx2. y=e-x cose-x-sine-x3. y=arctanx-1+x2

Q: Use graphs to evaluate 2π S 2r S 0 sin x dx = cos x dx = 2t S 0 2π sin x dx and cos x dx. 0

A: We will find the required.

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = 9 sin t, y = 9 cos t, t…

A: x = 9 sin t    ,    y = 9 cos t   ,    t = 3π4 To Find  d2ydx2

Q: find / sin³ x cos³ x dx cos³ 2x sinº 2x dx 11. 12. cos² x dx sin? x dx 13. 14. 16. 7 sin y dy 7 cos'…

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Q: Q1) Show that: (a) (1+x)° =1+6x :(cosx) = dx = -sinx (e)읊 = E d ( V) = (d) V1+ tan x = 1+;x dx 2 vx

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find dy/dx for the following : 1) y = x + sin x² + stn-! 5x 2) y = 32x + In (stn x²) + In(sin-1 5x)…

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Q: cos2tdt 1. S(x" + x³)dx 6. J (1+sin2t)* 2. S(x* + 3Vx)dx 7. S tanß sec?Bdß 3. Sx(1- x?)dx 8. S(tane…

A:

Q: If y= cot"+ tan-1x?), then dy dx x2 Select one: 2х + 1+x*' 1-x4 2x O a. 2x O b. 1+x' 1+x? 2x Oc. 2x…

A: All given options are wrong. See the attachment

Q: Choose the correct answer: 1- fx ex* dx a)e*? + c b) 2ex +c + c 2- Sdx : а)x b)1 3- S V(x+ + x-3)2…

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

Q: fip Ify r' sin I, dx a)3x²+ cos x 3. O b) 3x sin x + x° cOS I O cos x 3x sin x + x³ COS 2 Od 13…

A:

Q: dw Find dx where w = cosz- cos 4x cos'4y + sin 4x sin 4y and z= 4x+ 4y. dw 口

A: lfirst put value of z and then expand cos term Now we get Zero whose derivative is zero

Q: Q.1\Find (1) I=S tan³(5x) sec²(5x) dx. (2) =S dx x3+2x3+1 Q.2\ Find if y = lIn sin (x) cos(x*).V1+x)…

A: As per our guidelines I am solving only first question please resubmit other questions.