4. csc x dy= cot?y dx when X= T, y- %3D

Q: IX. Find y' if 1. (5 pts.) y = 2 In (cos (Tx)) 2. (6 pts.) y = csc² (Arcsec (Va) + e-)

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Q: dy 4. x sin y = cosy, (x cot y + 1) = -1 dx

A: Given. xsiny=cosy We have to derive the differential equation dydxxcoty+1=-1 from the given…

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Q: y = In (sin x) Find dy dx

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Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

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A: Let us consider the differential equation of the form Mdx+Ndy=0. then the equation is said to be…

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A: To find the integrate by parts (e3xcos(12x))dx

Q: Fiud ť amalytic Ť Ref = (t+y) · cos(2=y").

A: The objective here is to find f analytic. Ref=x+ycosx2−y2

Q: .3 coty (1+tan y) dx + dy = 0 Lsecx tan y] COSR18日N

A: Differential equations

Q: 4/ Solve The DE: [x+y Cot()ay-yx=si

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Q: dy/dx + y cot x = 5ex

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Q: SS cos(x)esin(x)-2y dxdy

A: To evaluate the double integral, first find the integral with respect to x by substitution method.…

Q: If csch?x dx = P x cothx +Q In|sinhx|+C Then P+Q=

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Q: 3) S Sinix dx Cost X

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Q: (x** ye) dx + zy dy

A: To Solve for the general solution of the following first order differential equations.

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Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

Q: h. y = arcsin sin (4x?) y = e? sin x + In x (arcsin z) with dz = 4 dx i. -

A: Given functions are  y=arc sin sin(4x2) y=ezsinx+|nxarcsinz With dzdx=4

Q: 5 dx, correct +2x²) Problem 19. Evaluate (3 to 4 decimal places

A: ∫0152x2+3dxSubstitute u=2x3→dudx=23→dx=32du=∫532(3u2+3)duSimplify:=523∫1u2+1duWe know that…

Q: (2) Separation of variable c. xcos?ydx + tanydy = 0

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Q: a. y = cot¯(Ve") tanh(e") -1

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

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Q: 2. (x- y cot ) dx + x cst / dy-0

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Q: 4 Find dy/dx for: y = sec?x- tan²x b- y = sec -x) C- y = sin(tan(3x))

A: It is asked to differentiate the following functions with respect to x: a) y=sec2x-tan2x b)…

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Q: This is a calc 3 question    change the order of integration to dx dy dz

A: The given region of integration is bounded by all three axis and the plane:  x + y + z = 4.

Q: QI/ Find dx 少 for Iny=ex).csch"()

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Q: 5. (1— ху)-?dx + [y? + x?(1 — ху)-?]dy %3D 0

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Q: QUESTION 1 Find ay/dx?- X = t + sint, y = t- cost

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Q: - Si * dx dy

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Q: Find dy/dx  if   x4= cot y

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Q: Find dy dx 1. 2 y = coth(esinx) tan-1(oooh x3)

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Q: . If y = Arctan sinh e then dy/dx is A. e sech e C. e sinh ex B. e* csch e D. e cosh e

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Q: y = tan(e*) + ey %3D

A: Given function is: y=tan ex+exy We have to find y'.

Q: xcos( x), sin(x) 8. dx = LHIN

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Q: ery dx dy. 0.

A: ∫01∫01exydxdy Take ∫01exydxSubstitute u=yx=∫0yeuyduTake the constant out:…

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Q: dy If xy? + sin y + arctan(x?) at (1,0)? dx then what is the value of a) – 1 b) 1 с) 0 d) 2 e) – 2

A: The given equation is  xy2+siny+arctan(x2)=π4

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Q: e dx + (e cot y + 2y csc y) dy = 0

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Q: dy In y ,if cot6x - 2x'y+ xe' = 20cos2y– dx Find

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Q: b) ſ cos (Inx)dx=?

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Q: Please answer completely. Step by step. Evaluate. S arccos x dx

A: I have stated the used formulas in the solution

Q: dy If y= tan (cot (In (x))) + sec(e*) then dx II

A: Given : y=tan (cot (In (x))) + sec ex   To find : dy/dx ?