Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

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Q: y(x) = tan{/3x² + In(5x*) - In(5x'

A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y? + z²; x = p sin $…

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Q: use implicit differentiation to find dy/dxin terms of x and y .

A: We have to find implicit derivative (dy/dx) of the curve .Information is given below:

Q: t2 sin wt

A: We have the formula  L{tnf(t)}=(-1)ndnFdsn(s), where F(s)= L{f(t)}

Q: If y = tan(4x + 1), determine using chain rule. dy dx

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Q: test for the exactness of the differentral dy + Cosx +Sinyfy -0 quation And hence find the Salution…

A: A differential equation contains independent variables, dependent variables, and the differential…

Q: Find the anti-derivatives, using ONLY basic rules + 3* ) dx

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: Find the general solution to the ODE using the method of Variation of Parameters: y" + y= cos² x

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Q: 5. In rectangular coordinates verify that V · V x A = 0 where A = xyz(ê+ ŷ + 2) by carrying out the…

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Q: If the acceleration of a particle is given by ä = sint i+ cost +e k, find the relity and position…

A: The acceleration of a particle is…

Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

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Q: use the chain rule to find: 28) dv 2- COSxy + y cos x

A: Solution:Given   z= cos xy+ y cos xx=u2+v and y=u-v2To find :dzdvFormula:ddx(cos x)=-sin…

Q: Compute dx using the -1 (a) Trapezoidal rule (b) Trapezoidal rule with end corrections using the…

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Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

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Q: Resolver por transformada de laplace  Y"+4y=cosx.  Y(0)=1  y'(0)=1

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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: find a linearization at a suitably chosen integernear a at which the given function and its…

A: fx=sin-1x,   a=π12 The value of the function and the value of the derivative can be easily…

Q: The equation of the upper semicircle centered at the origin with radius R in parametric form is…

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Q: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction of 4i -3j b)…

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Q: dw of w -+ dt X y H.W: Use the chain rule to find the derivative dw with x= cos 1, y = sin? t, z =-…

A: We differentiate the function with respect to t.

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: Use the appropriate form of the chain rule to find the derivatives. 12x2 + 12y2 + z²; x = p sin o…

A: Given:  w = 12x2+12y2+z2 x=ρ sinϕ cosθ, y=ρ sinϕ sin θ, z= ρ cosϕ  Find: ∂w∂ρ, ∂w∂ϕ and ∂w∂θ Chain…

Q: If Z = Jxy +y, x= cos 0 , y= sin 0 when 0 dz By using chain rule find de

A: Chain rule for one independent variable- Suppose that x = g(t) and y = h(t) are differentiable…

Q: Compute . dx using the (a) Trapezoidal rule (b) Trapezoidal rule with end corrections using the…

A: The given integral is

Q: Find the derivative dydx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

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Q: By using chain rule Find dy/dx iff- u=-1, x=-1

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Q: Find II. | arctan 4t dt

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Find the solutton of followins ordinery differential e quation. yl- 2y' +y

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Q: Find the partial derivative. z = sin (6

A: We have to find

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

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Q: (a) The centripetal acceleration of a particular wheel in a locomotive with respect to the angle…

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Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

Q: %3D

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

Q: use the chain rule to find dy/dx for the followingy=cos(sinx)

A: To find the derivative of the given function y = cos(sin(x)).

Q: dt What is the linearization of h(x)= 6+ at x=1? cos (1 -1)

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Q: calculate the required derivative using the chain rule. z.ton"() -1 - tan u =Y Cose » yarsin@ az -?…

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Q: * Find the intergration: dy

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

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Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: Use the Chain Rule to find the derivative of w = ryvith respect to t along the path a = cos ty = sin…

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Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation

Q: Find the derivative dy/dx of the Archimedean spiral.

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Q: eš(secy

A: To find derivative of eysec2y