BERNOULL니 dx -X = x siny dy ANSWER; hus -) § losy + Ce) X= -

Q: s sec(cosx) dydx siny

A: Given : ∫01∫sin-1yπ2 sec2(cosx)dydx

Q: siny dy 2. 3 |- cosy

A:

Q: et tane)=1-Sino +Sine (Sece

A: We will prove that both sides are equal as following.

Q: tan zeecz coS z

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: Differentiate. cosx² + siny³ = 36 %3D

A:

Q: 18y sin3 9y2. 10) +3 cos V9y2 + 3 dy + 3 cos

A: See the attachment

Q: Section 3.4-The product rule and Quốtiént rule In(x) Differentiate: Y dy Preview %3D dx

A: Given: y=ln(x)x9

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

A:

Q: Which two of the hyperbolic integration formulas differ from their trigonometric counterparts by a…

A:

Q: satisfies thé équation:y + 13y - Show that y=e Sin 3x

A: Topic = Derivative

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: i sinycos ydy

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

Q: Find the area.   y = 3 cos(4x),    y = 3 − 3 cos(4x),    0 ≤ x ≤ π/4

A:

Q: et secydx + sinydy = 0

A:

Q: That question please

A:

Q: Find dy of Using first principles

A:

Q: (雲) 1 dy tion 1+ is = 3 dx wy da 3, 1 12, 1 1, 15 15, 1

A: We have to choose the correct answer

Q: A particle that is located x meters from the origin is subject to a force of 10 sin² () in Newtons.…

A:

Q: Find dy/dx, where xsiny +ysinx=1.

A: Given - xsiny+ysinx=1 To find dydx Here we will use the following formulas- ddx(uv)=udvdx+vdudx…

Q: Find dy ду é^sinx in sx

A:

Q: b) Find if Scosy Vt3 + 5 dt + tany = x -sinx b) Find if S* Vt2 + 5 dt + siny = x – x°cosy dx2

A: Solve by differentiation

Q: Ex: Siny dydx

A:

Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: 9– x² -dx

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

Q: -siny(x + siny)dx + 2x²cosydy = 0 %3D

A:

Q: arctan(*) 1+e2kx dx =? A) arctan(e*)In|cos(arctan(e*)| + S in |cos(arctan(e**)dz]+ c kekx 1+e2kx B)…

A: ∫arctan(ekx)1+e2kxdxFormula to be used :1.Intergration  by parts2.Substitution3.ddxarctan(ekx) =…

Q: sin(6y) sin(8y) dy.

A: Topic - integration

Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: Solve (1+siny)dylx=[(2ycosy-(secy+tany)]dy.

A: This question is taken from a differential equation in which we have to solve the equation and take…

Q: If y- sinhx then prove that dy dx

A:

Q: TRC Prove that CoshZ =Goshx Cosytrisinh X Siny

A: The given problem is to prove the following complex hyperbolic trigonometric identity.

Q: 2T sin (2) dydx 0,

A: To evaluate the double integral, ∫π2π∫0x3sinyxdydx.…

Q: What is the integrable form of sin-cos-sino de? 2 (A -2 | sinu du B / Ju?- 1 du 2 /1-u² du D cosu du

A: Given: ∫sin θ2 cos θ2sin θ dθ Find the integral form of the given function. By using trigonometric…

Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

Q: Su+1 dn th-2

A: I =   ∫135x + 1x2 + x - 2dx    = ∫135x + 1x2 + x - 2dxWriting5x + 1  = A (2x + 1) +BOn solving , A…

Q: sE de = 6 - +- + arctan( )) +c %3D 1+ Vx

A:

Q: if t(い) = ta Cosy V = X siny Determine JR ļ JR to つメ

A:

Q: What is the integrable form of sin-cos-sine de? 2 2 V1-u? du -2 sinu du u² – 1 du 2/ cosu du

A: We have given integral Let, I=∫sinθ2cosθ2sinθdθ As, sin2x=2sinxcosx sinx=2sinx2cosx2 So,…

Q: 12) / Зy sin(5y?) dy

A: Solution:

Q: Left in implicit form

A:

Q: Can you explain a definition of Thales' theory and give me some examples?

A: The Thales theorem states that :The diameter of a circle always subtends a right angle to any point…

Q: dy 1. sin 2ycos2y

A:

Q: Find generul solution ý +y tan (x) = see (X) - sec %3D

A:

Q: Exercises ESet 27 Implicit Diffexentia tion 2 1. Find dy if dX +Sinxy Find dy if 2x' 3y8 -2- dx2

A:

Q: (7 – siny)y' = 3x2 + 2x

A:

Q: find the area of the shaded 4) reglon y = 2 2- y = 2 sin(Tx) 3 х -1- -2+ -3+

A: From the given graph the shaded part is on the interval x=0.5 to 2.5.  So find the area between the…

Q: What is the antiderivative of sec2(5x)dx from pi/20 to -pi/20?

A:

Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form

Q: dy +Hanx Siny = I Cos y die

A: