Find the value of zr» at the point (0, 3, 2) where a²y² + 2² – cos(ryz) = 10.

Q: siny dy 2. 3 |- cosy

A:

Q: Ssin" x 14 x cos' x dx Integrate:

A: Given,        ∫sin14xcos5xdx

Q: Inteprele . 2. Show yours work. S x Cos (4x) dx

A:

Q: Integrate sin 6y sec 3y dy from limit 0 to π

A:

Q: coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40 cm.

A:

Q: sen z + cos x dz | (tag z + 1) dx = In sec x+z + C 37. %3D cos 2

A: 37.   Given integral, ∫sen x+ cos xcos xdx

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

A:

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² x…

A:

Q: Suppose a particle has velocity given by v(t)=sin(t). What is the net displacement of the particle…

A:

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

A:

Q: Determine the second moment of X about origin

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

A:

Q: tany = C secx

A: The question clearly asks us to find the family of orthogonal trajectories of the given family.…

Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

Q: The roots of Characteristic equetion of a thrrd oreler, lineor homapeneous-equation with constaut…

A: Consider homogenous differential equation with constant coefficient:…

Q: Integral of sin^3 y cos^5 y dy

A:

Q: Jz{sinh³ 4z*)'^ ² - dz 1/4 cosh³ 4z'

A:

Q: Find the derivative y= 0 to x^4 integral of cos square root of t dt show all work

A:

Q: Change the hence order of integlation and evaluate Siny dydx

A:

Q: Find the intersection area between r = 3sine and T = 2 - sine curves.

A: given, r=3sinθ  and r=2-sinθ

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

A:

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: When a particle is located a distance of x metres from the origin, a force of cos(x) Newtons acts…

A: The given question can be solved as shown in step2.

Q: integral of sec^3 x

A:

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: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…

A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .

Q: (x' cos(x')dx = %3D

A:

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +…

A:

Q: he integra = 3/2 is dz Z-2

A:

Q: y'' + 3y' + 2y = sin ex

A:

Q: integral from -1 to 1 of arccos (y) dy

A:

Q: What is the amount of the rotating body formed by rotating the region bounded by the y = cos x…

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

Q: The integrating factor of Linear differential dy equations + y × 4 tan x = sec²x is dx . O tan 4x O…

A: To find the integrating factor for the below linear differential equation. dydx+y×4tanx=sec2x

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: 1 J sec- ztan - zdz

A: Solve the following

Q: The value that will satisfy potential function p is

A:

Q: %3D

A: We are given: u=ln 1-t21+t2⇒dudt=ddtln 1-t21+t2 The derivative can be found as follows:

Q: Find the integral of * dx J 2 sin x – cos x tan + 2 + V5 + C tan+ 2- V5 V5 |tan + 2-V5 V5 In tan+ 2+…

A: Option 2 will be correct choice.

Q: Find the limits of integration in cylindrical

A:

Q: Suppose a particle has velocity given by v(t) = sin(t). What is the net displacement of the particle…

A: GIVEN DATA : Velocity of  the particle v(t)=sin(t)        TO FIND : Displace of the particle on 0,…

Q: Evalute Sofy ex* dxdy by first reversing the order ex² 3y integration.

A:

Q: Find the solution. 7. (3siny – 5x)dx + 2x2cotydy = 0 hint: let z = siny

A:

Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…

Q: cosx dx sin²x-5sinx-6

A: Find your answer below

Q: The force on a particle is described by 6x + 1 at a point x along the x-axis. Find the work done in…

A:

Q: dy +Hanx Siny = I Cos y die

A:

Q: IT Evaluate the proper integration from 0 to 4 of arctan x. Leave your answer in terms of r.

A:

Q: Find the differential equation of the family of spheres of radius r with Centre on the xy-plane

A: General form of the equation of the sphere with radius r and center on the xy plane is given by…

Q: cos z dz ar gral f

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.