(Tx/2) -2 < x < 2.

Q: The function f(x) = x* - 18z is increasing on the intervals

A:

Q: Find the largest open interval where the function is changing as requested. 13) Decreasing y= +7 x2

A: This is a problem of function. By using the shape of the function we will be able to calculate the…

Q: Find_f'(x) 16. f(x) = sec² x - tan² x

A:

Q: (mx²- -3x+1 f(x) = x + 1 of function x=1 continuous at the х-1 X = 1 point of What should m and n be…

A: The given function is, f(x)=mx2-3x+1x-1,x≠1f(x)=n,x=1. That is,…

Q: find the extreme values on the interval f (x) = x(10 − x), [−1, 3]

A:

Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: 3x2 tan x If f(x) sec x

A:

Q: Differentiate f (x) = x sech x².

A: ddxsech x = (-sech(x) tanh(x)) ddx(u(x)v(x))= u'(x)v(x) + u(x)v'(x). ( Cain rule of derivative)

Q: 2 - ) at x = 4 1+ x)

A:

Q: Find the derivative: n[(x³ + 2) (x² + 3)].

A:

Q: A researcher at a textbook manufacturing company finds that the revenue is given byR(x)=5x2−40x.What…

A: Calculation:

Q: Find the extreme values on the interval:  f (x) = ex − 20x − 1, [0, 5]

A: Given, fx=ex-20x-1 in [0,5]

Q: 17. f(x)=-- x*+8x

A:

Q: What is the relationship between x and - when x is far from 0? What happens if x is close to 0?

A: The relationship between 1x and x is 1x is reciprocal of x.

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

A:

Q: Explain why you can not apply the mean value theorem to the function f(x) = x2/3 on the interval…

A:

Q: What is the minimum number of times you would expect f(x) 6 in the interval (0, 40? %3D

A: from the given table we cansay (As f(x) in continuoun everywhere)∃ x1∈ (0,10) such that,…

Q: p(4)(x) = (x² + 9)² f(6)(x) =

A: Given: f""(x)=(x^2+9)^2

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4

Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx

A: Given: y=2x3 +5x Point (-2,26) ,(4,148)

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: How would you find f '(x) baased on knowing f(x)= (4 tan x)/x?

A: Given function is f(x) = (4tanx)/x. Differentiate with respect to x as follows.

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

A:

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

A:

Q: What is the absolute extrema for (1-x) / (x^2+1) with [1,5]

A: We find the derivative of the given function using the quotient rule.

Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

Q: The absolute max for the function f(x)=x² – 2x +1 on the interval [-2, 3] occurs at : Select one: а.…

A:

Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=

A:

Q: Find the extreme values of the function f on the interval [3,4]. (x^4)+(4/x)

A:

Q: - Given f(x)= -, find f(x). 2+x %3D 6.

A:

Q: Find the point on the curve h(x)=x2−8 that is closest to the point (−18,−8). Enter your answer as an…

A: If the point on the curve h(x) = x2 − 8 is closest to the point (−18,−8), then their distance will…

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Differentiate the function. y= (5x- 5) (5 -x*)5 - 15625(x – 1)ª (5 – x*)*(5+4x³ – 5x*) dx

A:

Q: 19) Find f' if f(x)= sec² x 83√x

A:

Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: Differentiate. f(x) = 5x^5 - 8cos(x) f'(x) = ?

A: Given f(x)=5x5-8cos(x)

Q: find the first and second derivatives r = 1/3s2 - 5/2s

A:

Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: 3lim %3D f(x+h)-f(x) to find f'(x) for f(x) = -4x2+2x+3. = (),f

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Find the slpoe of the secant line between the values x 1 =-1 and x 2 =3 for f(x) = 8x - 3

A: Givenf(x)=8x-3x1=-1  x2=3

Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

A:

Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

A:

Q: 1- f(x) = x³. ammmed

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: interval

A: We have to find the increasing interval according to the given function

Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

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.