Find an approximation of v3 correct to within 10-4 using the bisection method. Write an essay on how you solved this problem. Include your bisection code, what function and what interval you used and why.

Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

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Q: Find the area of a triangle bounded by the y-axis, the line  f(x) = 6 − 6/7x  and the line…

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Q: Find all the asymptotes of the following function. Justify your reasoning by calculating all…

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Q: Assume that the total revenue received from the sale of x items is given by, R(x) = 29 In (3x + 1),…

A: Given data :  R(x) = 29 ln(3x+1) C(x) = x/2

Q: Show that x3 +x – 1 has a root in the interval [0,1]. (R

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Q: -=f"(() is The degree of precision of a quadrature formula whose error term is :-

A: To find- The degree of precision of a quadrature formula whose error term is: -h336f''ξ is

Q: Find a power function of the form y = axp going through the points (1, 5) and (6, 550)

A: Given Data: Point 1: x1, y1=1, 5 Point 2: x2, y2=6, 550 The form of the power function is, y=axp…

Q: The area of a parallelogram bounded by the y-axis, the line x=6, the line f(x) =6+2x, and the line…

A: The line parallel to y = 2x +6 will be of the form y = 2x + k…

Q: Find the maxcimum profit and the number of units that must be produced and sold in or der to achieve…

A: Given that, Revenue function: R(x) = x2 + 110 x + 60 Cost function: C(x) = 1.1 x2 + 10 x + 80 We…

Q: Suppose that a rancher is build pens along a river so no fencing is needed along  the river but…

A: Given:- Suppose that a rancher is build pens along a river so no fencing is needed along the river…

Q: An open-top box with a square base is to be constructed by taking a 42 by 42 square piece of…

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Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

A: To investigate whether the optimal points are global or not.

Q: If k = 3, for approximately what values of x in the interval [0, 1] will the error in the quadratic…

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Q: If the length of an interval equals 1 what is the minimum number of iteration necessary to achieve…

A: Solution: For the interval of length 1, we have to calculate the minimum number of iterations…

Q: Consider the following. Fx) = * f(x) 4 14 - 32x2 Find the critical numbers. (Enter your answers as a…

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Q: Find the roots off (x) = x 4 - 4x 2 and sketch its graph. On which intervals is f decreasing?

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Q: Employ the Parabolic Interpolation method to find the maximum of the following function using these…

A: Given: x0=-2, x1=-1, x2=1 f(x)=-x^4-2x^3-8x^2-5x

Q: Create a rational function, called F(x), that has: a point discontinuity (hole) At least one…

A: soution is given below

Q: Find the area of a parallelogram bounded by the y-axis, the line  x = 2,  the line  f(x) = 8 + 2x,…

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Q: Consider f(x)= (x+4) / (sqrt(x^2 + 4)) Find the exact value of the maximum of f.

A: given, f(x)=(x+4)(x2+4)

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) 4x2/3 %3D on the interval…

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Q: From a 27-cm by 27-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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Q: Given that f (2 + x) = E : The first N > 499 terms are needed to estimate f (1) with truncation…

A: For f(1) we need to put x=-1 Given that truncation error

Q: 8l A formur wants to buildariding arena n the Shape of a rectapgke toppecl by two simicirelese find…

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Q: Let f(x)=ex2. It can be shown by direct computation that f(4)(x)≤76e on the interval [0, 1]. Using…

A: Compute the first, second and third derivative of the given function as follows.

Q: Find domain, range, asymptote, yintercept, and xintercept for f(x)=In(x+3)+3

A: Given: f(x)=In(x+3)+3 To find domain, range, asymptote, y- intercept and x- intercept.

Q: Use 50 rectangles to approximate the are under the graph of f(x)=3** on [-2,2].

A: Area under the curve using left end points : The area under the y=f(x) over the interval a, b is…

Q: The hypotenuse of an isosceles right triangle is to be made into a circle C. Express the area A of C…

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Q: 5. Which of the following methods can be used to find root for f(x) = x2-3x + 2 which 0.5 is plotted…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 2. Determine the maximum root of the following expression using the bisection method: x+3cos(x) = 0…

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Q: Calculate the approximation for the given function and interval.                         M6, f (x) =…

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Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

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Q: Determine the open interval(s) on which the graph of y=6x3+8x2+6x-5 is concave downward or concave…

A: Given, function is

Q: Determine where the function f(x)=4x3-3x2+6 is concave and where it is convex.   2.An efficiency…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

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Q: Find a positive number x such that the sum of 9x and is as small as possible. x = Does this problem…

A: Let, the sum be denoted by f(x) So, f(x) = 9x + 1/x  So, f'(x) = 9 - 1/x² &, f"(x) = 2/x³

Q: Determine the intervals on which the graph of y= douwn 2. - 6だ+8x+6x-10 is concave up and concave

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Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Please refer the attached image for complete solution.

Q: Use the curve sketching algorithm to create a full solution and sketch of the following function:…

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Q: A function is defined as f(x) = x3 - x - 11 = 0. Between the interval [2,3] find the root of the…

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Q: During an iteration of bisection method for solving f(x) = 0, we got f(2) = -6, f(-1) = 2 and f(-4)…

A: The equation in the form f(x)=0 is called a transcendental equation. Geometrically the solution of…

Q: Use the Any optimization Algorithm to optimize the following function a. f(x1, x2) = x,-2x, + 4x2² +…

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Q: b. A square root function with a stretch factor of 4, with the vertex at (-5, 0).

A: To write the function from the given details

Q: The yintorcopt is approximatoly The x-intorceptx .4 was created by the factor. The x-intorcopt x = 2…

A: Given query is to read the graph and find the intercepts and the function.

Q: Use the IVT to find an interval of length 0.3 that contains a root of In r = 3 – 2r.

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Q: Find all horizontal asymptotes of the following function. 4x2 + 34x + 42 f (x) = 3x2 – 243

A: Given function  fx=4x2+34x+423x2-243   A line y=l  is a horizontal asymptote of the curve y=fx,if…

Q: Use the intermediate value theorem to show that function has a zero between the two numbers given.…

A: The given function is: P(x)=8x4-8x2+20x-16 Now, to find the root in [0.5,1] using the Intermediate…

Q: Find a quadratic function that fits the set of data points. (0,– 2), (5,28), (25,48) f(x) = | |(Use…

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Q: Q: A- find for the functions: - In =) + In(3x2) = In(3) %3!

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.