Find the cubic function that is the best fit for the data in the table below.

Q: 100-

A: part a is answered correctly . part b .

Q: What is the value of x on the function y = arcsec(x) whose slope is A) ±1.272 B) ±1.321 C) ±1.414 D)…

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Q: Differentiate the function.

A: We will use the chain rule

Q: Use implicit differentiation to find y' for 4x4 + e3zy 325 y' Preview TIP Enter vour answer as an…

A: We have to solve

Q: Determine the equation of the cubic function that has roots at -3, -5, and 3 and passes through the…

A:

Q: volume

A: Please refer to the image below

Q: Find the composition of functions

A: Explanation: We need to explain the process of how to find the composition of functions.

Q: Approximate the function that represents the data (2,–2), (4,2), (5,3) by a cubic spline.

A:

Q: Find the linearization of the function at the given point.

A: Given: f(x,y,z)=tan-1xyz Linearization of multivariable functions Recall the linearization of a…

Q: Find the function f whose graph is obtained by shifting the parabolay = x 2 by 3 units to the right…

A:

Q: Identify and sketch the curve for: x^2+25y^2+100y+4=0

A: The given equation of the curve is x2+25y2+100y+4=0. Rewrite the given equation of the curve as…

Q: y = (e* + 1)*

A: We have, y=ex+1x On taking logarithm on the both of the side, we get the result as logy=xlogex+1…

Q: Find the function f whose graph is obtained by shifting the parabola y = x 2 by 3 units to the right…

A: Given the graph of the parabola y=x2 is shifted by 3 units to the right and 4 units down shown in…

Q: Differentiate the function. z = A + Bcos y

A: We know that d/dx(xn)=nxn-1 d/dx(cosx)=-sin(X)

Q: Sketch the graph of the function

A:

Q: Write the equation for the function graphed below. f (x) = %3D AT

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Q: Is this function linear, quadratic, or exponential?

A:

Q: find the average rate of change of f(x)=2x^2+2 between the points (2,10) and (5,52).

A:

Q: Approximate the function that represents the data (2, -2), (4,2), (5,3) by a cubic spline.

A: Solution:

Q: Estimate the root of the function

A:

Q: Use C to represent the arbitrary constant. y =

A:

Q: Find the z values where the slope of the function shown below is positive.

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Q: Find a cubic function

A: Given, The cubic function, Which has local maximum of 3 at and the local minimum value of 0 at .

Q: [a] Use the data from the table to find an approximation for R'(45).

A: We have to use properties of derivative.

Q: Which table is related to the parent function of y= z?

A:

Q: the piece wise linear function f(x) is shown to the right.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Use the table, along with dimensional analysis, t

A: Given,              2078 in3

Q: Plot the fallawinet function:-

A:

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure, the…

A: We know that the aluminum sheets are rectangular in shape. The cross sectional area of the gutter is…

Q: d y is a function of tin

A:

Q: The segment J in the bottom graph indicates  one _________ of the function.

A: Given: To Find: The segment J in the bottom graph indicates one _________ of the function.

Q: . What effect does a vertical stretch or compression have on the y values of a function? What effect…

A:

Q: Find the linear function that coresponds to the graph shown to the right.

A: Given data:     The first point shown in the graph is: A=(x1,y1)=(0,-3). The second point shown in…

Q: Describe the cubic functions?

A: Cubic functions are of the form Where a,b,c,d are real numbers and a≠0. This means a polynomial…

Q: What are the cubic functions?

A: We have to discuss about cubic function.

Q: Which of the following functions has level curves shown below:

A: From the given figure, it is observed that level curves are standard hyperbola. Such a level curve…

Q: Differentiate the function.snip4

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Q: Calculate the 12-unit moving average of the given function.

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Q: Approximate the function that represents the data (2,-2), (4,2), (5,3) by a cubic spline.

A:

Q: A ball projected upwards with a velocity on 128 feet per minute from a height of 5 feet above the…

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Q: Q. 5 Fit a parabolic curve to the data given below and estimate the value for 2012 and comment on…

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Q: What is the area A of a circle expressed as a function of its circumference C?

A: Our Aim is to express the area A of a circle as a function of its circumference C=?

Q: -20 in.- 14 in.

A: Question is solved.

Q: he equation y" – F

A:

Q: Write an equation for the final transformed function. y =

A: Given that: The linear function f(x) = x.

Q: Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. a) Based on…

A: Linear model  y=mx+b   where b is initial value ( y intercept ) = length at birth  = 22 inches :…

Q: What numerical value for A makes the function contnuous at the seam?

A:

Q: Express the area as a function of the circumference?

A: There is some information missing. I am assuming the missing information as "area of the circle as a…

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.