Determine the so luti'on of the equertion: dy dx2y cot x= 1- 2xcot 2x- 2csc 2x

Q: find dy /dx for Hhe followin FanX +Sin y %3D

A:

Q: ye(2y*) dy

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

Q: find dy/dx in terms of x and y if arctane(x^3 y)=xy^3

A:

Q: Find dy Y= 5In CI+x") 4 dy'=?

A: The solution are next step..

Q: Find an arc length parametrization of the line y = 2x – 6 %3D |

A:

Q: Use Fubini's Theorem to evaluate .2 -dx dy. I + xy

A: Given :            ∫02∫01 x1+xy dxdy By Fubini's theorem, the above integral can be rewritten as ∫01…

Q: , X= sin ztS d= In Find dw 2- Cost

A:

Q: correct to three decimal places by Trapezoidal rule with 1 +x dx Evaluate I= h=0-5.

A:

Q: dy Find where y = sin²(V3x²). dx

A:

Q: Use implicit differentiation to find dy/dx. show all work cos xy+ x^7= y^7

A: The given function is: We will use implicit differentiation to find dy/dx.

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

A: See the details solution in below

Q: d²x 33. + w?x = F, sin wt, x(0) = 0, x'(0) = 0 dt 2

A:

Q: Let fex) = %3D a) Find Xo tangent lir (Xo , f(Xo) b) Find the in a).

A: f(x)=kx2+C Tangent lines to the graph at (x0,f(x0)) and (-x0,f(-x0)) we know that when the tangent…

Q: sin(xy) dy- y d dx x2

A:

Q: integral of sin^6 y cos^6 y dy

A:

Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 2 = 24 dy. %3D

A: ddx(tanx)=sex2xddx(sec x)=sec x .tan xddx(uv)=udvdx+vdudx

Q: Evaluate 112x C: arc on y = x5/2 from (0, 0) to (4, 32) (2x - y) dx + (x + 3y) dy.

A:

Q: Find fy ) for (x,y) Cos (x) sincy) exy

A: Given query is to find the partial derivative of the expression with respect to y.

Q: 3. Find the area under one arch of the curve y = sin(2r).

A:

Q: Integrate by parts: Je*sinx dx So

A: The the given integral is, ∫exsinxdx Assume I=∫exsinxdx.

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: Ex: Siny dydx

A:

Q: Find a curve through the origin in the xy- plane whose length is given by 1/2 L = [; (1+ *)"* dx 4

A: The arc length, L of a curve y=f(x) in the interval a,b is calculated using the formula below.…

Q: Which differentiation rule is used to show d/ dx sin y = cosy dy/dx ?

A: To Determine: Which differentiation rule is used to show d/ dx sin y = cosy dy/dx ? Given: we have…

Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: sech? dx 1- sech Vĩ tanh Vi dt Vi 2-

A:

Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

A:

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

A:

Q: dy Find by implicit differentiation. dz 3+ 5z = sin(ry) dy

A: We can find the answer using implicit differentiation as below.

Q: Use the trapezium rule to find [2" dx taking ordinates with interval 0.25, in three decimal places.

A:

Q: Find dy/dx in terms of x and y if arctan(x*y) = y“. dy dr

A:

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

A:

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

A:

Q: Find in terms of x and y if arctan(r + x²y) = ry

A: Given that         arctan(x+x2y) = xy We have to find dy/dx in terms of x and y.

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

A:

Q: .A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Using double derivative test to get max value of x

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (5t), 8 cos (5t)),…

A:

Q: ind dy/dx if y= xsquared-cotx-1divided by x squared show all work

A:

Q: Find the Sufface arca 0f the soid of revolution Obtained bu rotatig y=+2x With TtxE2 around メーaxis、…

A:

Q: vE zy sin{z° + y)dzdy Find

A:

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

A:

Q: dy Find by using Chain Rule for y = sin³4t dt

A: Here we do u and v subsitution to get the derivative of given function.

Q: dy Find by implicit differentiation da 3 + 4x sin(ry°) %3D dy %3D dr

A: Solution is given below:

Q: What is the integrating foc tor of the equation %3B

A: Topic:- differential equations

Q: Determine the speed (in meters per second) of a particle with a trajectory (2 sin (3t), 9 cos (3t)),…

A: Consider the given parametric equation of the trajectory of the particle, 2sin3t,9cos3t so we can…

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

A:

Q: dy +Hanx Siny = I Cos y die

A:

Q: TQand TR are secants from Point T to Cirlce A as shown below: s. If mQR = 70° and mSP 34°, what is…

A: Given: To explain the correct of the given statement as follows,