16. The range of real values of x for which x- s is x+2 A x< -2 or x 2 3 -B- - 2< x< 3 C x< -3 or x 22 D -3 < x < 2

Q: 1. The range of values of x for which x- 2x >0 is A. X 2 B. 0 2 D. x > 0 OR x>2 2. if (x - 1)(2x +…

A: hi i am solving 1

Q: How can you find the values of a,b, and c so that you'll get set(F)= ax^2 + bx + c.    F=    x   3…

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Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A: Given that, Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum…

Q: 53. Suppose that f(x) = 3 sın x. 3. (a) Solve f(x) 2. %D (b) For what values of x is f (x) > on the…

A: Find your answer below

Q: f h is defined by h(x) = x + 2   1. What is the range of h if the domain of h is the interval [-8,…

A: here we have to find,  1. What is the range of h if the domain of h is the interval [-8, 2)? 2. What…

Q: 2.1 Solve for x: 2.1.1 3 - x < 2x? 2.1.2 54x+3.100-2x+1 50 000 %3D -4 2.3 Given: f(x) = x + i and…

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Q: It is given that g (x) = 2x – 1 and h(x) = g(2x-1). %3D (a) Express h(x) in terms of x. (b) If g(p-…

A: Given: g(x)=2x−1h(x)=g(2x−1)

Q: Given g is twice differentiable and g'(x)>0 and g''(x)>0. If g(3)=12 and g(5)=18 which of 20, 21,…

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Q: 8. Given that |f'(x)| < 1/3 for all x, and f(4) = 0, what can you say about the value of f(10), and…

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Q: 5. If f(x) = (x + 1)(x² – 2)³ then f'(x) А. бx (x? — 2)? В. бx (х + 1)(х2 - 2)2 C. 3(x + 1)(x² – 2)²…

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Q: (4) Find the domain of f(x) = Vx3 – 2x² – 24x. (A) [-4, 0] (B) (6, ∞) (C) [-4, 0] U [6, ∞) (D) [-4,…

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Q: If f'(x) and g'(x) exist and f'(æ) > g'(x) for all real æ, then the graph of y = f(x) and the graph…

A: f'(x) and g'(x) show the slope of function  so here given that slope  f(x) &gt; g(x) so they do not…

Q: 12 If f(x)+g(x) and f(x)-g(x) are divided by (x+1) and the remainders are 2 and -5 respectively,…

A: The remainder theorem says that DividendD=Divisord×QuotientQ+RemainderR That is D=d×Q+R Now, when…

Q: If h is defined by h(x) = lxl + 2 a) what is the range of h if the domain of h is yhe interval…

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Q: 16. The range of values of x for which x+5 A -5 5. 5 or r> 2.

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Q: Suppose that 3 < f (x) < 4 for all values of x. What are the minimum and maximum possible values of…

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Q: Suppose that 3 < f'(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: Topic = Derivative

Q: If f(4) = 5 and f'(x) 2 2 for 4 s xS 9, how small can f(9) possibly be? %3D

A: Mean Value Theorem   Let f(x) be a function that satisfies the following hypotheses: a) f(x) is…

Q: 24. It is given that f(x) = x² – kx and h(x) = f(x+2)- f(x– 2). (a) Find h(x) in terms of k. bon (…

A: Given that f(x)=x2-kx and h(x)=f(x+2)-f(x-2). We need to find : a) h(x) in terms of k. b) if…

Q: What are the possible values for / '(x) if7 "(x) exists and f(x1) > (x2) for every X1 0 c. f"(x) =…

A: Disclaimer: Since you have asked multiple questions, we will solve the first three questions for…

Q: Suppose that 3 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

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Q: 10. What is/are the point(s) of inflection for f (x) = 3x° – 10x* +1 ? A. x= 0 and x = 2 B. x = 0…

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Q: (х — 3, if x с , find g(c + 1) so that g(c - 1) = 0. A 7 B 1 4

A: First we find the value of C using the equation g(c-1) =0 . Then find g(c+1).

Q: Let k(x) = f(x)g(x) h(x) If f(x) = 3x, g(x) = x – 2, and h(x) a? +x + 1, what is k' (x)? = - Select…

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Q: 3. Given that g(x) =7x-6 and f(x) =x+1, then the domain of |(x) is O{r\x&R} O{r|x+-1, xɛR} xɛR 6 -1,…

A: First I have written the definition of qutient of two functions and tell about their domain. Option…

Q: Show that x - c is not a factor of f (x)for anyreal number c.

A: We have given fx=-x4-3x2-2 We can see here fx&lt;0 for all x belong to set of real numbers. If x-c…

Q: a) Suppose that f(3) = 15, f'(3) – 5 and let H(x) = Vf(x)+ 10. Find H'(3). b) Let f(x) = cx +…

A: (a) Differentiate the function Hx with respect to x to find H'x.

Q: If f'(x) and g'(x) exist and f'(x) > g (x) for all real x, then the graph of y = f(x) and the graph…

A: In this question we have to find if the graph will intersect or not.

Q: 4. There exists c between -2 and 1 such that f(c) = 3. (a) must be true (b) must be false (c) could…

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Q: Suppose that 4 < f '(x) < 5 for all values of x. What are the minimum and maximum possible values of…

A: Since, for all values of x, we have Therefore, f(x) is differentiable for every x, that is f is…

Q: x for – 1 5 10- -2 10

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Q: -2(x²- c) x<2 For what values of c and d the function g(x)= d. x = 2 is continuous at x=2? x22 C = d…

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Q: 4. If the domain of f(x) is -35x59 and the range of f(x) is 25ys15, then which of the following…

A: Here we can use the concept of transformation of function as for given function f(x) the…

Q: 6 — 2х if x x2 – 16 For which x E R is f(x) continuous? You must give j your answer.

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Q: Suppose that 4 < f'(x) < 5 for all values of x. What are the minimum and maximum possible values of…

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Q: If g(y) is differentiable for 2<_y<_3 (<_ means less than or equal) and g(2) =g(3)=-1, then there is…

A: There is one theorem i.e. Rolle's theorem states that if a function f is continuous on the closed…

Q: r(x)=x-2/x^2+2x+1 As x right arrow - infinity, r(x) right arrow As x right arrow infinity, r(x)…

A: Taking highest factor common from denominator and numerator evaluate the following limit

Q: What is the complete set of numbers for which f(x) = x3 + 2x2 - x is concave?   x ≥ -2/3   x ≥ -3/2…

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Q: if |2 + x| > |3 – 2x|then: - D. 1/3 1/3 B. x 5 C. x 5 if 2x + /x/ 0 C. x <-3 OR x 20 D. x

A: Use the following properties of an absolute function, to solve the inequality. If, |x|≤a, then,…

Q: 22. Find the range of values of x for which x2-12 >1 V23. Find the set of values of x for which く1…

A: Topic- Function

Q: In Problems 31–40, find the complex zeros of each polynomial function. Write f in factored form.

A: "Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: 4. Find all points of discontinuity. 17/11 a) f (x) = - x-23 x²+5x-2 b) f (x) = ? x²-9 x²+6x+9 c) f…

A: Solution

Q: I have no idea how to approach this question.  Any insight would be greatly appreciated.

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Q: b) Let X-p(5): Find 1. P(x) 2. F(x) 3. E(x) 4. V(x) 5. P(x=0) 6. P(x>1)

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: (2) If h is defined by h(x) = |x| + 2, (a) What is the range of h if the domain of h is the interval…

A: Range of modules function

Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

A: Given that h(x)=[f(x)][g(x)] So, using the product rule,  h'(x)= [f'(x)][g(x)] + [f(x)][g'(x)] Then…

Q: 2 If f(x) = 2(1 – x)-1. | 1-x Find a formula for f(n) (x).

A: The given function is:  fx=21-xfx=21-x-1 To find the formula of nth derivative fnx, evaluate the…

Q: 8. Let f(x)=3x-2 then the solution set for which f(x')=(f(x))´ is: 1 a. x=-- 3 1 b. x= 3 1 d. x=±÷.…

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.