Cos ly -A) %3D show that 2 ニ0 2 8x Sx8y

Q: ye(2y*) dy

A: Given the integral I=∫ye2y2dy     ....(1)

Q: Find the value df (a) that Make ECX) is Contincity at X- Ž

A: Given that :f(x)=cosx2x-π      ,             x≠012a2-3a+4      ,   x=0

Q: Midterm Question 7 of 20 dx = 3y? dy %3D Select me coTrect response x+y3-C NONE

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Q: y'sin = y cos a is solvable by?

A: given equation y' sinπx = y cosπx is solvable by separation of variables

Q: 2-) Calcu late +he folloming integ rols by using the integration met hods a)| (hx" +8x²+ 15x) dx dx…

A: We are allow to solve one que at a time

Q: Integrate by parts: e* cos (12x) dx

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

Q: dy/dx= tan^2 (x) / sec^2 (y), y=pie/4 when x=0

A: given,                 dydx=tan2xsec2y and           y   = π4 when x =0

Q: Find dy/dz in terms of e and y if arctan(x®y) = ry°. ||

A: See the details solution in below

Q: 2. dx Ix Also, Prove that 22 %3D dxdj = dy dX

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Q: sec 2x da 4. I+3 tanzx

A: Integration methods help to find the answer to the problem. Substitution of the function helps to…

Q: (b) y = e=* + + In(3z + 1) (c) y = (cos z)° + sin(2*) (d) y = #° arcsin(2*)

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Q: it Z = exY , where : x= Incutv) and y = tan () %3D find a) du శ్రీశర శశ్ర

A: Given,  z=exy ; where x=lnu+v and y=tanuv To find: partial derivatives

Q: et secydx + sinydy = 0

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Q: af Find of f (x, y) = sin %3D dx 1+ Y COS 1+y () Option 1 sin 1+ y 1+ y Ontion 4

A: Partial derivative of a function in several variables with respect to one variable is calculated by…

Q: 3. Linear DE of Order one 2y(у? — х)dy %3D dx

A: Linear equation of dx/dy form is made

Q: tan y dy + In (secy) In (6)sec® de

A: Given data:     The given integral is: . The given integral can be written as, Assume Let…

Q: Reverse order, then integrate SaE ) dydx. Vx \1+

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Q: d tanx = sec?x. dx Prove that sec² %3D

A: To prove the equation, we need to simplify the left hand side of the equation. According to the…

Q: dy Exercise: find O If y= Vu ua Sinx y= -Secu %3D

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Q: az for a – yz+ sin(cyz) = 5. dx 9. Find %3D

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Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: Find dy/dx in terms of x and y if arcsin(x'y) = xy". dy dx Submit

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Q: (cos y- zsee'y) de – sin y dy = 0

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Q: In? (In(ax)) dx,a >0 -dr, a a. 2x In(ax)

A: You can solve this problem using the substitution method

Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

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Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

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Q: 2f sen jz įdz -2 cos z + C 28. sen Jz dz = %3D

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Q: Find the area between the two curves.

A: The area between the curves y=sec2x and y=sin2x on interval 0, π4:The area between curves is the…

Q: I = f, (sinhz + 1)dz. %3D

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Q: dy 2. V16 + y²

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Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

Q: cos(2y - x) = 3ysin x

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Q: dy In(5a + 2) Find for y = %3D dx

A: Giveny=ln(5x+2)7e5xdifferentiate…

Q: 3. у?dx— x(2х + Зу)dy %3D -

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Q: Jrin m In(cos m) dm

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Q: If y = (sin-' x)², show that (1 – 2*) dy dr? dy 2. dx

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Q: JS xy dA R: rectangle with vertices (0, 0), (0, 3), (5, 3), (5,0) 166xx 16 xy dx dy = xy dy dx =

A: The solution is given as

Q: (у3 — у?sinx — х)dx + (3хy2 + 2усosx)dy %3D 0

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Q: Integrate both sides dy = -dx

A: the given integral equation is                             ∫1y2dy=∫1xdx

Q: dy at x=0. dx If y = (3x² + 4x + 5)(e* – cos 2x), then find %3D -

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Q: dy 40. dx = VT/2 2ху 3D 1, у(0) 3D

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Q: Find dy if sin x + 1 = cos y dx²

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Q: tan y dy 1-tan2,

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Q: 5. e tan y dx + (1-e) sec? y dy = 0. %3D

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Q: Find dy/dx in terms of x and y if cos² (4y) + sin“(4y) = y + 8. %3D

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Q: ds Find where Vt +s = 2s . %3D dt

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Q: Find y' and y". y = Vx In y' y" %3D II

A: we have ,  y=xlnx y'=?y''=?

Q: sin(20nnt) ass A: AS(t)ln:0dd En=1 %3D %3D1

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Q: 9. 2y(у? — х)dy — dx, when x %3D2,у %3D 2

A: Given that: 9.     2y(y2-x)dy=dx,    when x=2, y=2     NOTE: As per our answering guidelines, we can…