The domain of g left parenthesis x right parenthesis equals Start Root 5 minus x EndRootg(x)= 5−x] is What is the interval​ notation.)

Q: 13. From an experiment, we get the following values of a function O(x). 1 2 -4 f(x) 3 -5 4 Represent…

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Q: Consider the following. g(x) - x* - 2x2 + 7 Find g'(x). g'(x) = Find the critical numbers of g(x).…

A: Topic - application of derivatives

Q: (a) Factorise z° + 1 over the real numbers.

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Q: The sum of two positive real numbers x and y is 3. Find an x and y among these such that the product…

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Q: Give a possible formula of minimum degree for the polynomial h(x) displayed in the graph to the…

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Q: Suppose X - X(3). Find k such that P(X > k) = 0.01. Round your answer to 3 decimals. k :

A: It is needed to find the value of k, such that, P(X > k) = 0.01.

Q: Consider the following. P(x) = 4xª – x3 – 28x² – 17x + 6, c= -2, - Show that the given values of c…

A: Consider the polynomial  Px=4x4−x3−28x2−17x+6 c=−2,14

Q: 5. Use the fplot command to plot the funetion f(x) = e2sin(048)5cos(4x)in the domain -205 x 30.

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Q: For f(x) = 3x + 2x, find the number c in (-2, 2) guaranteed by Rolle's Theorem. (Use symbolic…

A: Here given function  fx=3x4+2x2 it is a polynomial function thus it is continuous on [-2, 2] and…

Q: For f(x) = 5x - 6, find the number c in (-2, 2) guaranteed by Rolle's Theorem. %3D (Use symbolic…

A: The objective is to find the number c in interval (-2, 2) using satisfying the Rolle's theorem, for…

Q: 2. Find the polynomial f (x) of degree 4 whose graph is shown. Leave your answer in factored form.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: he domain of the composition: For f(x)=2x-5 and g(x)=√x+7, what is the domain of g of? terval…

A: Given query is to find the domain of the composite function.

Q: 5. Let f(x) = (x-1)'(x+2) a. What is the degree of f(x) b. What are the roots and their multiplicity…

A: We will find out all the required values.

Q: 0=1+xx + ₂X4₁

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Q: (a) Express in ascending powers of x as far as the term in x' (2+x)' (b) Express in ascending powers…

A: To expand and simplify the given terms in the ascending powers.   Expression In the power of:…

Q: - Domain of g oh

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Q: 16.J. Show that every polynomial of odd degree and real coefficients has a real root. Show that the…

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Q: Consider the real functions f given by f(x)=x2-1. What is the image of 5 under f? Find all pre-imges…

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Q: 15. Find g(1), if g(x)= 2sin-1x

A: The given function is gx=2sin-1x

Q: 3. Determine the pole and the residue of 22+1 f(x) 24-z-2

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Q: nswer on 1. Find all the roots of 2x* + x – 8x2 – 4x = 0 | x = -2, x = -0.5, x= 0, x = 2 Bx= -2, x =…

A: Given query is to find the roots of the expression.

Q: Find the 1-/2a2-1 limr 1 x-1 O 1 O -2 None of these

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Q: If lim 12 00 k-1 (-1)*k 3x +4x +5 lim T-00 ar + 6x +7 34 then what is the value of the real number a…

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Q: 17. Find the discriminant of 8x -x +7= 0.

A: topic - discriminanat

Q: Find the linearization at x = a. f(x) = , a = 7 (Express numbers in exact form. Use symbolic…

A: Lx = f(a)+f'(a)(x-a)

Q: 13. List all possible rational zeros given by the Rational Zeros Theorem for P(x) = 2r +&r+Ilr-14

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Q: Find a general formula for f("). f(x) = (x – 3)-1 %3D (Use symbolic notation and fractions where…

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Q: 3+36X+14=13 Determine the number the ru Of real solbH fon

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Q: Find all n EN for which is the polynomial x2n + x" +1 divisible by (x)f g(x) = x² + x + 1?

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Q: 5) Use the Intermediate Theorem and Roll's Theorem show that there is exactly one root of the given…

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Q: 8. Find all the roots of f(x) = x' - 4x' +6x² – 4x+5 if 2– i is one root.

A: We will find all the remaining roots as following.

Q: find n∈ℕ is the polynomial f(x)=x2n +xn+1 divisible by g(x)=x2 +x+1?​

A: Given:            f(x)=x2n+xn+1             gx=x2+x+1

Q: How can you write any real power of x as a power of e? Are there any restrictions on x? How does…

A: According to the given information it is required to write any real power of x as a power of e.So,…

Q: 15. What are all the possible rational roots of f(x) = 6x* – x² – 4x² – x – 2? ±1. ±2. ±3, ±6, ±늘,…

A: Rational root problem......

Q: Find a real number b such that x²-6x+5 26 lim x-5

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Q: Sketchthegraphofy=x2−5x+4.

A: We first make a table for y=x2 −5x+4 x 1 2 2.5 3 4 y 0 -2 -2.25 -2 0

Q: m(x)=3e^2x-4, find a formula for m^-1(x). Show all work using proper notation throughout.

A: We first replace m(x) by y and then switch x and y

Q: 5.5 (a) Determine the roots of f(x)= -12 – 21x+ 18x? – 2.75x3 graphically. In addition, determine…

A: Solution 5.5: f(x)=-2.75x3+18x2-21x-12 The graph of the function between xl=-1 and xu=0 Since the…

Q: 9 - x - xE +x=d Determine all PRIME factors and EXACT zeros for the function above. ENotes

A: Given- y=x3+3x2-x-6 To Find- All the prime factors and exact zeros for the function above.

Q: Find the coefficient of x25 in the generating function (x+ x2+ x3 + x* + x5+ x®) 4 (x²+ x³ + x*+..a…

A: Given function is, x+x2+x3+x4+x5+x64x2+x3+x4+...3 Now, we can write the given equation as,…

Q: Show Hhat the equathon 3 X°+2x -23D0 has exacthy one realroot. lyt

A: Given function is

Q: Describe all the homomorphisms from K4 to C4.

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Q: Hiw. Form a PDE from the followingg- O xyu= f (x²+ytu?)

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Q: a) If g(x) = 4x + 10 and h(x) = 3x - 2, %3D Find:- g[h(x)] = and express it in its simplest form %3D

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Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: +2 7. (i) Show that A(c) !! (-2)* (ii) Given the previous part, find a closed form for >

A: Find your answer below

Q: f(:) = (: + 2)(:-1)²

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Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 8x − 0.2x2…

A: The average pollen count in a certain city on day x of the pollen season is  Differentiating with…

Q: 9х + 18 Consider the rational function f(x) 2х — 11 a. What monomial expression best estimates t…

A: The given rational function is:fx=9x+182x-11

Q: Let /(x) – x + 2x+ 3x + 4 € Z). Then x = -1 is a root for /(x) of multiplicity None

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.