Find the roots of y = r²- r using (a) Bisection method (stop when interval size < 10-6).

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Find the smallest positive root by using the bisection method ( f(x)=-x^4-5x+7 \) with absolute…

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Q: find a nice rational approximation for3√25 by using the tangent line to y = ^3√x (cubed root of x)…

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Q: By transforming to principal axes, reduce the quadratic form x' Ax for 2 2 1 A = 25 2 1 2 2 to a sum…

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Q: What is the intergral of 1/sqrt((1+t2)) dt

A: we have to find the integral :-I = ∫11+t2 dtnow for solving integral , put t = tanu⇒dt = sec2u du…

Q: Find the roots of an equation f(x)= x^3-x-1 using four iterations of bisection method. Compute also…

A: Sol:-  f(x)=x3-x-1Here x 0 1 2 f(x) -1 -1 5 1st iteration :f(1)=-1&lt;0 &amp; f(2)=5&gt;0∴…

Q: Suppose a Curve passes through the faints (0,-4), (0.6,-3.64) and (1,-3). Find the polynomial which…

A: To find the best fit to the given point and find the value of function at x=-3.5

Q: over the triangular region Cut from the * quadrant by the line x+y =1.

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Q: e-3logx=D0 X-

A: Consider the given function as, e-x-3logx=0 Let  fx=e-x-3logx

Q: Determine all the points, nearest to the point (0.0.2) on the following graph: 3x^2 + 2y^2 -z = 0

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Q: find the roots using secant method. Stop until at 15th iteration or when approximate percent…

A: The secant method is xn=xn-1-fxn-1xn-1-xn-2fxn-1-fxn-2. The function is fx=2x4+13x3+29x2+27x+9 Set…

Q: Find two positive numbers whose product is a such that their sum is minimum.

A: Let the two numbers are x and y So, xy=a y=a/x   Their sum= S= x+y We have to minimize S

Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

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Q: .2 y = x", y = 2x, about the line x = 0 using the method of disks or washers. 4 Volume…

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Q: Use linear approximation to estimate √(4.01) + (4.01)2 correct to four decimal places.

A: Linear approximation of fx about x=a is given by L(x)=f(a)+(x-a)f'(a).

Q: Find real root of the equation x^3-3x-5=0 by the bisection method

A: According to the given information, it is required to find the real root of the given equation using…

Q: Find the maxima and minima of f)x) = -5-3x + x^3 on the horizontal span of 0 to 4. Sketch a graph…

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Q: Use bisection method to find the root of x^3 –x^2 – 3x – 3 with two initial points xl=3 and xr=2 and…

A: The given equation is x3-x2-3x-3=0. To find: the root between 2 and 3 .

Q: Using the discriminant, ALGEBRAICALLY determine the nature of the roots for y=4x^+4x-3. 2. A

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Q: f(x)=x^3-3x-1

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