Use the Newton-Raphson method to find an approximate value of the extremum of the function f(x,y)=(x² +y² -1) –x²y' starting from the initial point (x,,Vo)=(1,1) and limiting to a single teration. One can use the remarkable identity of degree 3: (a+b+c)° = a° +b³ +c° +3(a*b+a°c+b°c+ab² + ac² + bc² ) + 6abc %3D

Q: Use the intermediate Value Theorem to show that between x = 0 and x = 1, the function f(x) = 3 sinh…

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Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

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A: Given function is  f(w)=sin(4w2)+cos(4w2)Derivative of f with respect to w:f'(w)=…

Q: 5) Determine the slope of the tangent line to the function with the given information: a. f(x, y) =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: Q1) Use implicit differentiation to find dy/dx if a) (3xy + 6)2 = 7y b) x cos(3x + 2y) = y sin x %3D

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Q: Show that th equation of the tangent to the curve X 1승 +1-2(a 0,b + 0) at the point (a,.b) is 즈+-2 X…

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Q: 1)™ Determine a formula for the derivative of (x° + that works for any integer m. m y'

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Q: 4 Let f(x) = 6x°va + || f'(x) =

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Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…

Q: Find the equation to the tangent line y=8 sin x at point (π/6, 4) using form mx+b m= b= Both of them…

A: Topic =Derivative

Q: 5.) Find by implicit differentiation. dy dx 1.² a.) = y² + 2 x+y b.) 4xe" +ye = 7 c.) ycos(x) = x² +…

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Q: c) Let y be a function of x such that (y+1)° = 3sec²(2x)-e". dy Find by using implicit…

A: The given function is y+12=3sec22x-exy.

Q: Find the values of h, k, and a that make the circle (x - h)2 + (y - k)2 = a2 tangent to the parabola…

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