EVaLuateAt W= X X=cos't Y=cost sin

Q: 4. Find using derivative rules. dx sinx x8+x x2 tanx (a) y = (b) y= (c) y = cos³(3x² + 9) cos(5 x*)…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: 4) Estimate tan (0.5) using the tangent line to y = tan(x) %3D 6

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Q: siny dy 2. 3 |- cosy

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Q: PLY Trapezoidal rule to find RMS value

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Q: 8. Find directional derivative of function z = xey at point P(1,0) in the direction from pointP(1,0)…

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Q: S(cost x- sin x)dx

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Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: sech Vt tanh V dt Vi

A: Given : Intergral sech √t tanh √t dt / √t

Q: ind y' by implicit differentiation: xy3 - sqrt (x2 +1)=2y

A: Definition used -    Implicit differentiation-  If equations do not define explicitly y as a…

Q: If the derivative of y = sint- cost is 3sintcost (w+cost), determine v O sintcost O - sint sint O -…

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Q: Find i) Partial derivative. tii) of the function i Z= 200+xy Level Sur face エエ

A: Given z=200+x2y2 i) Partial derivative zx=0+2xy2=2xy2zy=0+2x2y=2x2y ii) Level surface of the…

Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

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

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Q: Compute the derivative of (arctan(x))^e^x

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Q: roblem 1: Compute the derivative of each function a. f(x) = [ e' sin(3t) dt b. g(x) = | e' sin(3t)…

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Q: Find an equation of the tangent line to y sin 2x = x cos 2y at the point π/2 , π/4 . Do not…

A: First we will find Differentiation of given equation to get slope of the tangent line. Now equation…

Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain

A: Solution is given below:

Q: Find total differential of function u = x.

A: 6. The given function is u=xyz. We know that the total differential of a function u=fx,y,z is given…

Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

Q: Continuity equation is derived using the conservation

A: Equation of Continuity: The continuity equation states that in the case of steady…

Q: Find the derivative of y with respect to the appropriate variable 65. y = sV1 – s² + cos¯s 66. y =…

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Q: Ex: Siny dydx

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Q: Find of xy = cot(xy) dx

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Q: Find the derivative. y = sinh 1(tan x) O y = |cos x| O y = 1 /1+tan x O y = 1 Vtan? x-1 O y = |sec…

A: In this we have to find integration and derivative.

Q: Determine the least radius of curvature of the exponential function y=ex.

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Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid…

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Q: 115th derivative of f(w) = cosh w %3D 2

A: Finding the nth derivative.

Q: Shows the derivative function of: TC = Q³ + 2Q²  + FC(Q), where TC = Total Cost and FC = Fixed…

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Q: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

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

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

Q: ди ди x====u+Yay ?х

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Q: psen(x) tan(t) dt lim ctan(x) Vsen(t) dt x→0

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Q: (b) Use the First Derivative Test to identify all local extrema. Local minimum at x = Local maxiтит…

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Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1…

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: What is the second derivative of ecON (), , Cosh (A sinh?(x)e cosh (x) + cosh2(x)ecosh («) B sinh…

A: Let the given function is y=ecosh(x).

Q: find derivative 1. y = 1/( ln 3x)      2. y = ln (t3/2) + sqrt(t)    3. y = ln (sin x)      4. y =…

A: Hi! Your question contains many sub-parts. As per norms we will be solving only 3 sub-parts. Since…

Q: Sinhx cosy dx = coshx siny dy

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Q: The average rate of change of the function y = sinx over the interval [0, ]is 4

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Q: Draw 1st & 2nd derivative charts. Identify extrema & inflectionn points. y = x2 + 2/x

A: Consider the function,

Q: A beam of length L is embedded at its left end and simply supported at its right end. Find the…

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Q: find the equation of tangent line of function f(x)=csc(x)-cos(x)1/2 at the point ((2*3.14)/3,…

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Q: ary differentia att=0 the ing

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Q: calculate derivative of respect to x こ %3D dx

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Q: Find the derivative of y with respect to > (x + 6) y = In V (x + 9)60 dy dx (Type an expression.)

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Q: Find dy/dx by implicit differentiation. бх3 + x2у - хуз %3D9 y' = %3D

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Q: Jax dix x²

A: To evaluate the given integral.∫ln xx2 dx

Q: cos z dz ar gral f

A: