Find all zeros of the function. (1-cosz)( z^2+1)(z^2+1) Give the order of each zero.

Q: Find the root/s using the regula-falsi method. PLEASE COMPLETE SOLUTION until f(root) must be equal…

A: To approximate roof of the f(x) by using regula-falsi method.

Q: Apply derivative to determine the vertex of the parabola y = x² + 2x + 2.

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Q: Please show step-by-step solution!

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Q: Use Secant Method to find the root of x³ + 3x² – 1= 0 between [-3, -2] accurate to five decimal…

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Q: Use De Moivre's theorem to solve:

A: Given,  x4-1+i=0

Q: Form the polynomial equation with integral coefficients whose only roots are given. 2,-1,1

A: Given roots are 2,-1,1 Now we have to find the equation of polynomial with

Q: Find an estimate of the root of the equation: xX - 6x = 0 located in the interval (2,3) using…

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Q: Find the slope and y-intercept of the line through the point (9,5) that cuts off the least area from…

A: Equation of line : Y - y = m(X-x) If this passes through point(9,5) Y-5 = m(X-9) Y = m(X-9)+5 X…

Q: Discuss the method of False position to find an approximate root of an equation f(x) = 0. %3D

A: We have to describe the method of false position.

Q: Locate the discontinuities of the function andillustrate by graphing.        y = 1/1 + sinx

A: given: y=1/1+sinx

Q: Find the root of the equation + sinx = 0 using bisection 2 method in the interval [1, 2.5] correct…

A: Given equation-x2+sinx=0 . We have to find the root of the equation -x2+sinx=0 using the bisection…

Q: Aregular octagon

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Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b)  Where, slope = m and point = (a,b)

Q: Use a linear approximation to estimate the value of the 5th root of 30

A: To find: The fifth root of 30 by using linear approximation: Concept used: Linear approximation of…

Q: Usin IVT how do you show this equation has a root. On the interval (0,2)

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Q: Determine the root of the equation x³ + x² = 1 in the interval [0, 1] by using bisection method.

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Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: Find the slope and y-intercept of the line through the point (4,10) that cuts off the least area…

A: We have to Find the slope and y-intercept.

Q: If tanx   =12/13 , find the values of the other hyperbolic functionsat  x.

A: tanhx=1213 By using the identity sech2x+tanh2x=1, we get…

Q: Use Secant Method to find the root of x³ + 3x² – 1= 0 between [-3, -2] accurate to five decimal…

A: We have f(x) = x3+3x2-1 f(-2) = -23+3-22-1 = 3 x1 = -2 f-3 = -33+3-32-1 = -1 x0 = -3

Q: FIND THE REAL ROOT OF X.EXP(X) = COSX BY SECANT ITERATIVE METHOD CORRECT UPTO 4 DECIMAL PLACES.

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Q: 3) Use the Intermediate Value Theorur to show that there ís a root of the equation Make sure you…

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Q: Assume that f is a polynomial and x = 10 is a critical number for f If f''(10) = -sqrt2 what do we…

A: A function y = f(x) has a critical point at (x, y) if f'(x) = 0 or f"(x) is not defined. But as we…

Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…

A: Given : Point (6,6)

Q: Use simple fixed-point iteration to locate the root of f(X) = 2sin(√x) - x

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Q: Draw the y = sinx and y = 1- x² on the domain -2 <x<2 and filling the between the funtions.

A: the filling part is given below-

Q: f(x) — е -*(х2 -5х + 2) *(x²

A: Regula-Falsi method also known as the false position method uses the following formula to perform…

Q: Which hyperbolic functions are increasing on their domains?

A: First of all, consider all the six trigonometric hyperbolic functions and their domains.

Q: ) Find the equation of the tangent f (x) = 4x - 8/x at a = 16. %3D %3D

A: Given: fx=4x-8x at x=16 For finding equation of tangent at x=16, we need to find y-coordinate for…

Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

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Q: Oz(-@) and Ør(@) are conjugate functions. That is, Px(-@) =Øx°(@) %3D and Oz"(-@) = , (@)

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Q: find an estimate of the root of the equation x3 + 2x – 4 = 0 using regula-falsi method. Perform…

A: Regula falsi method or False position method is one of the method used to find the approximate root…

Q: f(x) = xe-* хе – sin²x

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Q: Use a linear approximation to estimate the number sqrt9.1  .

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Q: obtain a real root of a“ – 5x+1=0 with a = 0 until absolute error < 0.0001

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Q: Can the False Position Method be used to find the root of f(x)= –', starting with the interval…

A: In False Position method , select the starting interval, a,b such that a&lt;b and fa·f(b)&lt;0 .

Q: Find its x co-ordinate.

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Q: Express the length l of a chord of a circle of radius 8 as a function of its distance x from the…

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Q: Show that: sec²x + csc²x = sec2x.csc2x %3D

A: To show: sec2x + cosec2x = sec2x·cosec2x

Q: If cosh(x) = 25/24 and x > 0, find the values of the other hyperbolic functions at x.

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Q: Express the first four cumulants in terms of central moments.

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Q: Determine the line tangent to f(x) = 2x2 + 3x + 1 at (-2, 3).

A: The tangent line to a curve at a given point is the line which intersects the curve at the point and…

Q: Find the slope of the line through the point (12,15) that cuts off the least area from the first…

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Q: Find the slope and y-intercept of the line through the point (2,7) that cuts off the least area from…

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Q: Explain the process of extracting roots which are not perfect square

A: We can use Shri Dharacharya method to find the roots of any quadratic equation.

Q: Find the slope and y-intercept of the line through the point (1,2) that cuts off the least area from…

A: Given : Point ( 1 , 2 )  It cuts off the least area from the first  quadrant

Q: 4. Assume that æ € [0, 1] and write the error in the approximation to the error function using the…

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Q: find the roots of the equation x*cos(x) = -1 In[-2,4] using bisection method with error = or less…

A: For the solution of the problem follow the next step.

Q: Use Newton Raphson Method to obtain a real root of x^3-5x+1=0 with x₀=0 until absolute error

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.