3.Using simple fixed-point iteration, determine the root of the equation f(x)= sin (Vx)–. X, = 0.5 with the guess initial number and iterate over

Q: 324y/" – 180y' + 25y = 0, %3D y(0) = 8, y'(0) = 5. y =

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Q: Find the given value. f(x) = 1 – x2, f"(-vV 10) f" 10

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: Verify the exactness of the given function (1+ex/y)dx+ex/y(1-x/y)dy=0 and then write the complete…

A: Solution: The objective is to find the general solution of the given differential equation

Q: Find the equation for the line tangent to g(x) rcos(x) at x = 0

A: Given:The function g(x) = (x cos(x))/(x+2).Obtain the tangent line for the above function at x = 0.

Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: The position of an object at time t is given by f(t) =. If the object flies off on a tangent at time…

A: Given , the position of an object at time t is -f(t)→ = 3cos(t) , 3sin(t) , tthe object flies off on…

Q: Find the derivative of f(x) = (v5x – 2)°. Final answer must have no parentheses.

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Q: Find the second derivative of the function F(t) Answer = 4tsin (14). F"(t) =

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Q: Determine y′(7) to the nearest tenth when y(x)=50x4 / 2x (Do not include "y′(7)=" in your answer.)

A: We have to find derivative of y at x=7.y is given below:

Q: x2 + a Consider the function Find the value of the constant a so that y' (1) = 0.64

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Q: 50 Find the derivative of ƒ (t) = (3t³ – 6t2 + 11 )".

A: Explanation: Given that: ft=3t3-6t2+1150 Concept used: dxndx=nxn-1

Q: S (a) Find the derivative of the function using FTC1: g(x) = J dt t2-1

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Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…