Test ODE for exactness (sin y cos y + x cos² y)dx + x dy = 0

Q: 1. cosh z= cosh x cos y + i sinh sin y sinh z = sinh x cos y + i cosh x sin y.

A: According to our guidelines we are supposed to answer only one question, since you have asked more…

Q: Given: xy =tan(x - y). Find dx/dy. tan² (z-y) soc²(z-v) +tan² (z y) sec (x−y) -sec² (2-y)-z 當…

A: find derivative dxdy from equation xy=tanx-y

Q: VARIATION OF PARAMETERS 1. (D^2+1)y= sec tanx

A: We have to solve by variation of parameters.

Q: 1. y = sin(x) tan(x) 2. y = cos (x) 3. y = cos(tan(x)) 4. y = tan(x) A. y' = -3 cos (x) tan(x) В. у…

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Q: 1. tan(x + T) = tan x %3D sin(x+y) 2. cos x cos y = tan x + tan y %3D

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Q: sin x+cosX Differentiate y = %3D sin x-cos x 2 А. 1-sin 2x -2 В. 1+sin 2x -2 С. 1-sin 2x 2 D. 1+sin…

A: Given,  y=(sinx+cosx)/(sinx-cosx)

Q: sin (x + y) %3D coS Xcos y 7. tan x + tany

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Q: sin 0 lim 0lr tan 0 O a. 0.5 O b.0 O c. 1 O d. 1

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Q: x + y x - y cosh Show that sinh x + sinh y = 2 sinh

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Q: 1.) Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of x 2.) Given…

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Q: y" + y = 2 cos x – 2 sin x; y=x sin x + x cos x y" +y = sec x; y = x sin x + (cos x)In(cos .x)

A: We have two methods two check whether given function is solution of differential equation or not  i)…

Q: 1 – sin(x) Evaluate: dx I+ sin(x) 1- sin(x) A cos(x) - 2x +C 2[sin (x) – 1] cos(x) -x+C 4cos(x) +C…

A: We have to solve the integration

Q: cosh (T– i) = eT cosl - i eT sin 1 + e-" cos 1 + ie- sin 1 - IT 2 e cosl - i eT sin 1 + e" cos 1 +…

A: First option is correct answer. Thankyou!

Q: 2 sin -(x/6) dx Evaluate the integral 2. 36-x 2. r(sin sin (x/6) dx 2. V36-x?

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Q: |sin x cos x dx. X COS X d.x.

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Q: sin(x + y) - sin(x- y) 2 cos x sin y

A: Solve the following

Q: H.W LEC 8 H W dx 1+x-(Tan (x) )2 H-W It g* H.W (3) x In X Tnx)21 tan de HW H.W Smh Ode

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Q: Using Integration By Parts,x: x dx = u v– Jv du X sec Svou -tanx - Jsec Find Ex tan 5 2 1. X sec x…

A: The given Integral is: ∫x sec 12x tan 12xdx

Q: OSycosy y dy Sin COS (y 3(-cos(y)+ 3, ANSWER: 3 y sin (y) 3. хе dx ANSWER.: - c *…

A: Please see the answer below

Q: V sec3(In x) + sec2(In x) tan(In x) dx Given: 2x Find: du O tan(in x) dx X O tan(In x) dx 2x sec (In…

A: Given:     To determine: expression for du

Q: •sin Find the derivative of n x² dx. '2² dæ) = (sin z)° esin 0 '2² dx) = (sin 0)² - cos 0 d_ rsin 0…

A: We have to find

Q: sin x cos x – tan x cos² x dx cos x cos? x sin x dx cos3 x 16. = sec x dx + cos x Let u = cos x ; du…

A: It is given that    ∫cosx-tanxcos2x dx We have to evaluate it.

Q: x sin x cos x Evaluate : dx. sin x + cos'x

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Q: Implicit Differentiation 1.x'y? – 2y = 2x 2. tan(2x) + y sin(x) = y 3. xy = x*y + 1 4.2 x + 3 y =…

A: we have to find implicit derivative

Q: cosh (T- i) = %3D e cosl i e sin 1 + e- cos 1 + i e- sin 1 e cosl i e sin 1 + e-TI cos 1 ie- sin 1 2…

A: We know formula of coshx in term of exponential form

Q: 19 The range of y = sin x is _______. y ≤ 0 -1 < x < 1 y ≥ 0 -1 ≤ y ≤ 1

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Q: cos x- cos y X, =0, y,=0; sin |x|-sin | y | x, 0, yo=0; B) f (x, y)= %3D %3D r) f (x, y) = %3D %3D…

A: As per bartleby guidelines, for more than one question asked, only one is to be answered. Kindly…

Q: SOLVE THE EQUATIONS

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Q: Differentiate while showing the necessary steps. y=f(x)=x^2(cos⁡(x))

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Q: solving (2 x sinxy+x^2 ycos xy ) dx + X^3 cos x y dy = 0

A: given the expression is ; [xsin(xy)+x2ycos(xy) ] dx + x3cos(xy) dy =0

Q: sin z =sin x cosh y +i cosh x sin y صواب

A: Sinz=sin(x+iy)

Q: Find the relative extrema of the function f(x, y) = x2 + 1 − 2x cos y, where −π < y < π.

A: Given  fx,y=x2+1-2x cos y,   where -π&lt;y&lt;π Partial derivatives with respect to x and y of the…

Q: S(sec z tan z – 7x®)dx =. O tanz + x7 +c sec a – x² +c – sec z – x² + c z - sec z + x² + c O sec a…

A: Topic = Integration

Q: (sin '(x/5)°dx V25 - x2 2 Evaluate the integral 2 (sin (x/5)d / 25 -x? II

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Q: cos(x)y' + sin(x)y = 2cos (x) sin(x) – 1 G) = 3/2, 0 <x < 2 %3D 2)

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Q: lim 0 2 + sin(okr }) k=1 6 O A. J(x + sin(2xx)) dx 6 O B. J(2x + sin(2xx)) dx 3 O C. J(x +…

A: Definite integration limit as sum

Q: 5 cos? x-3 tan x 20. S 5 COS X

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Q: sin 3x .cot 5x lim x→0 X cot 4x 2 t+ sin t lim t + co s t

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Q: lim cos (x) - Cos (y) 3. cos cy} Sin (e) - sinly'. பி Sin(x)

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Q: dy sin x Find in y = dx 1+ cos x 2 2 2 cosʻ x+ sin´ x+cos x cosʻ x+ sin´x а. b. (1+ cos x) (1+ cos…

A: Topic :- derivatives

Q: 1 Using Integration By Parts, x sec x tan 2 x x -u v- v du Svau. Find uv- 1 1 x tan х dx - 2 O 2x…

A: Evaluation of integral by Integral by parts

Q: cos(x) f(x) = 1- cos(x) In solving the antiderivative of by miscellaneous substitution, the…

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Q: sin x(sin x + sin x cos x – y)dx = (1+ cos x)dy

A: Here is the solution of the given problem.

Q: / [cos(x) – sin(x) ]dx Evaluate: A -cos(x) + sin(x)+C B ® cos(x) – sin(x) +C © - cos(x) – sin(x)+C D…

A: We know that integration of sinx is -cosx  And integration of cosx is sinx. Here i attached solution…

Q: Find y' of sin(x+y)=x+y

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Q: S(sec z tanr- 7x*)dr =. O tan z + x+c sec z +x7 +c sec a- ' + c O- sec a -x' +c sec z + x'+ c

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Q: Using integration by parts, if f cos(lnx)dx A. cos(ln x) = uv + ƒ sin(ln x)dx, what is uv? c.cos(In…

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Q: sin x In y = x cos x – sin x+c

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