Verify that the equation 2 – X² = sin x has two real roots, one near x = 1.5 and another near x = 1 using Newton's method. Determine the root near x=1 to 3 decimal places.

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Q: Verify that the equation 2 -x2 = sin x has two real roots, one near x = - 1.5 and another near x =…

A: Given: An equation 2-x2=sinx. To show: The given equation has roots near x=-1.5 and x=1. To find:…

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A: given x3=x+1taking square on both sidex6=x+1x6-x-1=0f(x)=x6-x-1put x=0 thenf(0)=06-0-1=-1put x=1…

Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

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Q: Determine the two roots of sin x + 3cosx - 2 = 0 that lie in the interval (-2, 2). Use the…

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Q: 8) Describe graphically, what Newton's Method is doing in order to estimate a root of a function,…

A: To Do: We have to describe graphically, what newton’s method is doing in order to estimate a root of…