The equation of motion of a body performing damped force vibration, Is given by t 5dx +6x = Cos t, sokre the equetion %3D given that x = 0.1 dx

Q: PART (A) Find dy/dx for the given function y = 2x + 4x*cos (4x) Good Luck

A:

Q: dy Find dx from the equation y = sin[cos xy].

A: Explanation of the answer is as follows

Q: COs x dy Find when y = dx csc(7x + 1)' dy dx

A: The given function is y=cosxcsc(7x+1)

Q: Solving for the dy/dx of the function below lea 5 y = 1- sin?

A:

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

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

Q: 2(y+1) dy t 2) 2(у + 1)4 dx x+1

A:

Q: 7 1. 2ydx+x²dy = - dx; y = - when x =1 In 2 2

A: Given:- 2y dx +x2 dy =-dx  To find:- Solution of Differential equation at y = 7/2 when x =1/ln(2)

Q: The equation of motion of a particle is given by s = 4 sin(Ct2 + πt), where C is a constant. Find…

A: To find the velocity of the given function.

Q: he variable y is defind implicitly by the equation x^3+9xy^2+3y=43 Use implicit differeentiation to…

A:

Q: A particle is moving in such a way that its velocity v is given by the equation v(t) = cost + sin t.…

A: Given : vt = cost + sint

Q: ind the slope of the line that is tangent the curve sin(2x)+sin y=e*y – 1 at (0,0). our answer…

A:

Q: y = tanh-(x) + sech-1 /1+ x²

A:

Q: (2 – 4t) sin() tan(2r) V17 – cos(2nt) Find the equation of the line tangent to the graph of f at r =…

A:

Q: dy at the given point. dx Calculate sin² (–5y) = x + y, - %3D 4

A: Given equation sin2(-5y)=x+y and point 2-π4,π4 The objective is to calculatedydx at the point.

Q: For the equation, find dy/dx evaluated at the given values. (3)^ √ x  +  (3)^ √ y  = 2

A: Consider the given equation 3x+3y=2 Differentiate the above equation with respect to x,…

Q: Find the equation for the curve f (x) at the point (x, y) meet the following conditions dy / dx = 4x…

A: A curve is a function with equation of the form y=f(x). A differential equation is an equation in…

Q: 1(siny) dx dy = %3D

A:

Q: In your department, you were required to investigate the relation between the displacement,…

A: both of the equation can be solved using the method of variable separable.

Q: dy b) Find If tan2²(2y) – S cost dt = 4 – x2 - dx

A: We find the dy/dx by Leibniz rule.

Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

Q: The velocity v and time t are related by the first order differentia pelow. Find the velocity att =…

A: Here we have,  dvdt-15vtant5=20 given v(0)=1. Where v= velocity,  t = time

Q: dy = ( x - 3y)dx

A:

Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

A:

Q: The equation of motion of a particle is given by s = 4 sin(Ct2 + πt), where C is a constant. Find…

A:

Q: (3sin y– 5x)dx+2x² cot ydy = 0 3.

A: Given: 3siny-5xdx+2x2cotydy=0

Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following…

Q: A particle travels along the x-axis such that its position is given by x(t) = tl.5 sin (t² – 3t).…

A:

Q: 5.) Find and d²y , and find the slope and concavity(if possible) at the given value of the dx2 dx…

A: Given Find out the derivative dy/dx using formula

Q: b) Find the point's acceleration at the specified time. s"(2) = ft/sec2 %3D

A: we have been given  s=3t-3t2   , t=2s'(t)=ddt3t-3t2s'(t)=-3t2+6t3now…

Q: Two particles start at the origin and move along the x-axis. For, 0 <t< 10 their respective position…

A: Given, x1=sint , x2=e-2t-1 ,0≤t≤10 To find the velocity, Differentiate with respect to t we get,…

Q: Find an equation of the tangent to the curve x=2sin 2t, y=2sint at the point corresponding to the…

A:

Q: for the equation dx ecosh-(x) = In(x) sinh-(y) Find %3D

A: Using differentiation of   product rule and implicit differentiation,

Q: dy cos-1x Find for y = dx /1-x2

A: Given :   To find dy/dx:

Q: Find dy/dx of y=1/ (tan-1 x)

A: The given function is: y=1tan-1x

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

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

Q: rycotx b) Find If cos (2y) – S cost dt = 4 – x? - dx

A:

Q: y=x√3-2x³

A:

Q: Find the function y = f(x) whose graph passes through the point (5π/12,3.5)if dy/dx =cos(2x−π/3).

A:

Q: FIND THE GIVEN DIFFERENTIA Non Exact Equation ( 2x* - y) dx + x dy =0

A:

Q: Find the solution of the this differantial equation. extan(y)dx + [(ex)/(x-1)]dy = 0

A: Hair we use the variable separable method to solve this equation.

Q: Solve using Bernoulli's Equation 1. x^2(dy/dx)+y^2=xy

A: We have to solve the given equation

Q: give the velocity y = ds/dt and initial position ofan object moving along a coordinate line. Find…

A: Given, Velocity,y=dsdt Also given, y=sinπt,s(0)=0

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A:

Q: e* sec (e* +1)dx tanle* +1

A: We need to evaluate ∫ex sec2(ex+1) dxtan(ex+1)                              (1) Let tan(ex+1) = t On…

Q: thể cur dy w that dx 2y - 2х Зу - 2х %3D d the slope of the line tangent to the curve at each point…

A:

Q: If Xy+yd, find the value of dy 5- dx 2 at the point Coy-1)

A: Given problem is :

Q: Find F dX, where x= 3 cost y= 1+3 sin 2r)

A: Given It has to find line integral of given parametrically curves Where

Q: sin t cos y = dy find dx Example 6. If x = cos 2t <. Vcos 2t

A:

Q: B The equation of a curve is y = cotx - 8 cos x, 0<x< π, find the coordinates of the points on the…

A: If the equation of the curve is given y=f(x)  Then we find dy/dx and then equating to 0 we get the…