1. Solve the approximate root of f(x) = x^5 - 3 using at least 5 iterations on Bisection Method with range from a = 0 and b = 10.

Q: Solve y′  of (t^5+t)(t^3−4t+1)

A: ddtt5+tt3-4t+1Apply the Product Rule:  f·g'=f '·g+f·g'f=t5+t,…

Q: A team of medical researchers determined that t days after the epidemic started N(?) = 10t^3 + 5t…

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Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: How many solutions does x^2+bx=c have if c< -(b/2)^2?

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Q: Identify the iteration formula using Newton’s Method of f(x) = x^3 - 5.00x^2+1.01x+1.88

A: Given:f(x)=x3-5x2+1.01x+1.88

Q: Obtain the real root of the equation x^3-3x=0, Using newton Raphson method, after third iteration.

A: The given equation is x3-3x=0Orfx=x3-3x The method is given by xn+1=xn-fxnf'xn Let x0=0 be the…

Q: The next iterative value of the root of (x^2)-4 using the Newton-Raphson method, if the initial…

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Q: f"(x) = 2x + 5 and f'(-2) = 4 and f(-2) = -4. Find f'(x) = x^2+5x+10 and find f(2) = 76/3

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Q: Find the solution of the equation z=1/2(p^2+q^2)+(p-x)(q-y) which passes through the x axis

A: Given: The given equation is z=12p2+q2+p-xq-y To find: The solution of the given equation when it…

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

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Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: Find a root of an equation f(x) = x^4-2 using Halley's method.

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Q: If F(x) = √x + 1, find F (t^2 − 1)

A: We have given  Fx=x+1 We have to find Ft2-1 Then, Ft2-1=t2-1+1