What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (,0*? Y = 0 A B ... y = x 2 .. y = = + D 2 ..

Q: Find dy/dx by implicit differentiation. (cos TX + sin Ty) = 18

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Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: The solution of following Differential Equation dy sec²y+x tan y = x³ , is %3D dx

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Q: 1- Find the equation of the tangent to the curve y = 2 sin x+ cos2x at the point x = n. 2- Find the…

A: Solution:

Q: Let z= sin (y2 – 4x), Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: Find the differential d5y of the function y=sin2x.

A: To Determine: Find the 5th differential of the given function y = sin(2x)

Q: What is the differential equation obtained by eliminating the parameter A from the relation…

A: The explanation of answer as follows

Q: find the differential equation of the family of curves: strophoids r= a(sec + tan theta) in…

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Q: 04- Determine the general solution of the following differential equat dy tan x. +у %3D sec х dx

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Q: cos 2x dx (b) 4 cos t dt 0 2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: This differential equation is linear. What is the Q(x)? * Cosx dy t (y- cosx )dn = 0

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Q: Find the 4th order differential of the function y=√2x+1.

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Q: Find the local linear approximation of cos x at xo = cos 61°. T/3 and use it to approximate

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Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: What differential equation corresponds to an RC circuit with a resistor of R = 100 and a capacitor…

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Q: 5.32. z = sin(x² + y?)

A: To find the differentials of third order.

Q: dy tan tan x = 0 dx coscos x +

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Q: A particle moves along the x-axis with velocity given by v(t) = 67 sin (at) for time t> 0. If the…

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Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given a(t)=cos t Integrating with respect to t to get velocity function, vt=∫atdtvt=∫cos t…

Q: Find the differential dy of the given function. y = 3x − sin2x

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Q: solve the IVP x(1-siny)dy=(cosx-cosy-y)dx y(π/2) =0

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Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: Find the differential equation of the family of circles with fixed radius, r=a+b,and tangent to the…

A: I am attaching image so that you understand each and every step.

Q: . Suppose y is a function of x defined implicitly by sin y + y = x²y² + In(x) – 1 Find dy/dx and…

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Q: 5. As a particle moves through the first quadrant, its a and y coordinates are functions of time t,…

A: Given tan(theta)=y/x

Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

Q: Let z=sin (y 2- 4x). Find the rate of change of z with respect to y at the point (2, 1) with x held…

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Q: Let y tan(5 7) Find the differential dy when x = 3 and da 0.4 Preview 3 and da 0.8 Find the…

A: Given function:

Q: Differentiate. y = e cos x + Cos( ex)

A: Given- y=ecosx+cosex To find- The value of the derivative of the above function. Formula used-…

Q: Let z= sin (y²– 4x). Find the rate of change of z with respect to x at the point (2, 1) with y held…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6T sin (2nt) for time t > 0. If the…

A: Given: vt=6πsin2πt at t = 1, x = -4

Q: A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is…

A: Given acceleration, a(t)=cost,       t>0 And v(0)=0, x(0)=3

Q: 2. Find the length of the curve: y = 2 In (sin (÷x)); -< x

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Q: Explain why the initial Value problem dy/dx=x-cos(y); y(1)=pi has a unique solution. For that…

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Q: Find the equivalent differential equation for all tangent lines of the parabola y = x^2

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Q: S" cos de 4. 2 dx .2 -1 1+x² 5.

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Q: 1. Determine the equation of the tangent line to the graph of f(a) = [² pr+sin r = x = 0. cos (t² +…

A: Above equation of tangent is given.

Q: ) Given the function f(x) derivative f"(1) with h, h/2 and h/4. 5. e Vx cos (Tx), approximate the…

A: Given function is  For this answer, we choose  We have  (up to 4 decimal place accuracy) We also…

Q: Let y = tan(5x + 5). Find the differential dy when a = 2 and dx 0.3 Find the differential dy when x…

A: Given, y= tan(5x+5) Therefore, dy/dx = sec²(5x+5) .d(5x+5)/dx dy/dx = sec²(5x+5)*5 dy= 5sec²(5x+5)dx

Q: A particles velocity is 7 cos(2t) meters per second. at time t=0 its gone  2meters, where is it  at…

A: The velocity of the function is given as:

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: 5. Find dt ,y = cos(sin(t – 4))

A: Given function is: y=cossint-4 Derivation of the above function with respect to t. dydt=ddtcossint-4

Q: (a) f* (1 – cos 3t) sin 3t dt,

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the differential of the function   y = θ3 sin(6θ)

A: Solution :-