Go to the  Data sheet  and fit a polynomial function of degree 2 (order = 2) to the Worldwide data y = 815.51x2 + 13952x + 811849 x= 255 , Predicted Number of Cases = 57,398,146 First Derivative = 1631.02x+13952   …………...  Find a second derivative ………..

Q: Plot the function using a graphing utility and find its critical points and extreme values on [−5,…

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Q: What is the critical point of this function?

A: Critical points are that points where derivative is zero

Q: A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a…

A: Let x be the distance between point P where boat lands on the lakeshore. The distance walked would…

Q: Use the First Derivative Test to find relative (local) maximum points points, if any, of the given…

A: given

Q: Find the minimum and maximum of the function y = z - 12005z on [-8, 8] by comparing values at the…

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Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

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Q: 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not…

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Q: Use the First Derivative Test to locate the x-value of all extrema. Classify if it is a relative…

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Q: locate the critical Pointsof the function f(x)= x-4 the use x+20 the second Derivative Test to…

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=4−67xf(x)=4-67x, and the line…

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Q: How can you find the first derivative of the given polynomial function? What mathematical skill is…

A: Let the polynomial be pn(x)=a0+a1x+a2x2+a3x2+...+anxn Now, the first derivative of the above…

Q: Find the minimum and maximum values of the function y = 3Vx² + 1 – 2x on the interval [0, 6] by…

A: Maximum and minimum value function

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: Find the critical points c for the function ƒ and apply the Second Derivative Test (if possible) to…

A: For critical points put f'(x)=0. If f"(x) at critical points less than 0 than f(x) is maximum at…

Q: where did 0.025 come from? please explain the steps to get critical value

A: The level of significance is 0.05.

Q: # 22 A right circular cone of radius 6m and height 10m is initially filled with water. An empty…

A: We know volume of water in cylinder = volume of cone - volume of water remaining in cone

Q: Use Milne's method to obtain the value of y(0-3).

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Q: Approximate the root of the equation f(x) = x^3 - x - 1 using 10 iterations on Bisection Method with…

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Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

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Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: To obtain the required polynomial equation, use the following Newton's divided difference…

Q: Find the interpolating polynomial for the function f(x) = e through the points x = 0, 1, 2.…

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Q: 6. Find all critical numbers and use the Second Derivative Test to determine all local extrema. a)…

A: for part a see 2nd step. for part b see 3rd step.

Q: Find the critical numbers and identify the maximum and minimum points using the First Derivative…

A: we have to find

Q: A metal storage tank with fixed volume V0 = 360π m^3 is to be constructed in the shape of a right…

A: To find: The dimensions will require the least amount of metal. Given information: A metal storage…

Q: Use the Linear Approximation to estimate Af for f(x)=, when a = 2 and Ax = - !. 2412 (Use decimal…

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Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: gx=2x3-24x+8 Differentiating with respect to x, we get g'x=23x2-241+0=6x2-24 Again differentiating…

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

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Q: Determine the critical numbers of the ff. functions.

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Q: plot the function using a graphing utility and find its critical points and extreme values on [-5,…

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Q: Use the Linear Approximation to estimate Af for f(x) 5+x2 when a = 2 and Ax = -. (Use decimal…

A: Given :   f(x) = 11  / 5+x2     a = 2     ∆x = - 1/2 = -0.5

Q: Derive a 2nd order accurate finite difference expression for the first derivative at point i-1,…

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Q: What is a critical point of a function?

A: A critical point of a function of a single real variable f(x) is a value of xo in the domain of f…

Q: Sketch the graph of the function. Label all the critical points and show how you find them. h(x) =…

A: Given: The function is h(x)=log4(x-1)+3 To determine: The graph of the function and the critical…

Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

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Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

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Q: Sketch a graph of the following function by the guidelines: 1. y = 4x3 – 6x² – 24x 2. y = 2x3 + 3x²…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find a root of the function f(x) = 2x – sec(x-3) + 1 near x = 4.5 using any open method (3 decimal…

A: To find the root of the below function near x=4.5. fx=2x−secx−3+1

Q: The marginal cost function for the manufacture of wireless headphones is given by: C0(x) = 20 −x200…

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Q: Find an estimate for the positive root of x³-x²-x+1=0 using seven iterations of the Fixed-Point…

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: A tank contains 100 gal of brine in which 50 lb of salt is dissolved. Brine containing 2 lb/gal of…

A: 1 st we will make differential equation for amount of salt and then solve it to get amount of salt

Q: Find the point on the line y = – 4x + 2 closest to the point (8, 9). - The function giving the…

A: Given, equation of line : y = -4x +2 And  The point : (8, 9) {outside the line}

Q: find a root of an equation f(x) = xlog10x - 1.2 using bisection method when the initial interval is…

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Q: A box with an open top is to be constructed from a rectangular piece ofcardboard with dimensions 12…

A: The length of the cardboard box is (20 - x - x) = (20 - 2x) in. The width of the box is (12 - x - x)…

Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: As we can see given points are not equidistant so for finding ln 2 we will use Newton's divided…

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: The given function is f(x)=2x4-3x3. Find the critical points of f(x)=2x4-3x3 as follows. The…

Q: 1a) find the critical points and the intervals on which the function is increasing or decreasing,…

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.