The function f(x) = 2x²-3x+ k has a minimum -Find the value of k. 8. value of-

Q: Q#3 A rectangle has length x m and its perimeter is 20 m What is the maximum area of such a…

A:

Q: Find the value of x at which the minimum of the function f(x) = x Occurs. 2.

A:

Q: find a so that f (x) = ax2 + 8x -8 has a minimum value of -24

A: According to the given information, it is required to find the value of a so, that the function f(x)…

Q: In regression theory, Summation(Yi-Y^) is  a. Minimum/non-negative b. Zero c. One ď. Maximum

A: The simple regression equation is given by: Yi=βo+β1Xi+eiwhereβo and β1 are the regression…

Q: What is the absolute minimum value of the function f(x) = x' - 3x² on the interval [-2, 4] ? a. -4 O…

A:

Q: Identify the absolute minimum of h(x) =-4x² – 1 over [-4, 3]. Provide your answer below:

A:

Q: "hat is the absolute minimum value of p(x) = 2a+a+2 over -1,3? orry, that's incorrect. Try again?

A: Given query is to find the absolute minimum value of p(x).

Q: 5.Find the maximum of Q=xy if x+y=42. The maximum value of Q is Q=?

A:

Q: One of the stationary points of the function y = 4z5 – 6z + z2 - 2 is (-1,1 Is this a maximum or…

A: Given: One of the stationary point of the function y = 4x5 -6x3+x2 -2 is (-1, 1). To find: Is the…

Q: Find the absolute maximum value of g(x) -2x2 + x – 1 over [–3,5].

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: (c) Where does g have a maximum and a minimum value? 2 14 minimum maximum

A:

Q: Given the piecewise function: 4x + 12 x<-2 - 1<x f(x) = -2x + 6 -2 What is the relative maximum?…

A: We first sketch the function

Q: At which minimum and Type answer value does the function g(x) = 3x² - 4x² attain a - is the minimum…

A:

Q: A vehide factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends…

A:

Q: Determine the maximum or minimum value for y = −2(x − 7)(x − 5) and state the value of x for which…

A:

Q: S(r) = -x² + 2r + 15 What is the minimum or maximum of f (x) (put "0" if there is no minimum or…

A: Given function is fx=-x2+2x+15. To find the minimum or maximum of fx. Solution: Given function is…

Q: 25 At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum…

A:

Q: a. What is the maximum or minimum point for the curve y = x² - 4 b. What is the maximum or minimum…

A: Given  y = x2-4    .............. (1)  To check local minima or local maxima, we have to…

Q: What is the x-coordinate of a local minimum on the graph of y = 3 – 2x² +7? а. 13 d. 1 3. b. 2 е. -1…

A: Find the X co-ordinate of the local minimum

Q: 10 10 f(x) = 3x - x³

A: The function of the curve on the graph is: fx=3x2-x3

Q: Find the minimum and maximum values of y=x-9 x + 8 on the interval [-3, 1]

A:

Q: For what value of x does the function f(x) = x in the interval[-3,5]? - 4x attain the absolute…

A: find critical points and find function of the value at the end points and critical point the min…

Q: Find the maximum and minimum values of the ,2, function f(x, y) 2a2 + 4y? = x'y subject to 24…

A: We Know that In mathematical optimization, the method of Lagrange multipliers is a strategy for…

Q: z = x? + xy +y2 - y

A: Given  Z = x2+xy+y2-y                ..... ( 1) Differentiating equation 1 w r t x ∂Z∂x= 2x+y…

Q: Find it (giving both x- and y-coordinates) and determine if it is a relative maximum or a relative…

A: A critical point of a function is the point where the first derivative is equal to 0 or not defined.…

Q: 7) What is the minimum value? h(x) = x2 + 4x - 7 %3D

A: Given:- h(x)=x2+4x-7  To find:- minimum value of h(x)

Q: Rx) =-x + 6x + 5 on [5, 8] maximum minimum

A:

Q: Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of…

A: To find the break-even quantity we have to solve the equation for x.…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 − 12x2 − 27x + 8…

A: We are given the function f(x) = x3 − 12x2 − 27x + 8. Here, we need to find the local minimum value…

Q: What is the relative minimum and maximum of ? 4) f(х) - -х3 — 2х? - х +2 = -X

A:

Q: x? maximum point of y = — х — 12 х+5 O -0.76, -2.51 О 9.24, 19.48 О-9.24, -19.48 О 0.76, -2.51

A: Given y=x2-x-12x+5 To do Find the Maximum point of y

Q: Find the absolute maximum and absolute minimum of the function f(x) = x? – 8 + 7 over [1, 8]. -

A:

Q: How do I graph f(x)=a(x-h)^2+k (a does not equal 0) on the conditions a&lt; 0, h=2 and the max value…

A: Given

Q: What is the minimum value of the functiong (x) = x? - 6x - 12? 3+ v21 3 3 - V21 -21

A:

Q: 1. Find the extreme value of the following function and check whether the extreme value is a maximum…

A: The stationary points are calculated by solving the equations: fx=0 , fy=0 together. The…

Q: 4. When does g(x)have a relative minimum? Explain your reasoning using the graph. 5. When does…

A:

Q: Using the function f(x) =x - x² - 3x + 4. 16. Find the point relative maximum/minimum and the…

A:

Q: Let y(x)=3x^2+3x-2 Is the vertex a minimum or maximum for this function? Give a reason for your…

A:

Q: 2. Find the absolute maximum value and the absolute minimum value of the function 3 f(r) = 5 – x2 on…

A:

Q: Find the minimum y-value on the graph of y=6x2 - 24x+ 27. The minimum y-value is

A: The given function is y=6x2-24x+27. Differentiate the function with respect to x.…

Q: Find the minimum y-value on the graph of y = f(x). fx) = x +2x-1 The minimum y-value is y =

A: We have to find minimum y - value on the graph of y = f(x)  f(x) = x2 + 2x - 1

Q: F(x)=4+54x-2x^3 , [0,4]  what are the absolute minimum value and absolute maximum values?

A: Given function

Q: (b) Find the absolute minimum value of g on the closed interval [-4, 4]. Justify your answer.

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Q11: Find the absolute maximum and the absolute minimum value on [-2, 2]: g (x) = x² +2x²/3

A: gx=x2+2x23 Differentiating with respect to x, we get g'x=2x+2·23x23-1=2x+43x13 Now critical values…

Q: or equal to 0). Find the minimum possible value of X346.

A: here given mean of 345 quantities is 5.9

Q: maximum point of y x? x – 2 |

A: Given a function : y2=x2x-2 We need to find the maximum point. Let's begin.

Q: Question What is the absolute minimum value of q(x) 2a 1 over -2, 5? 222 Provide your answer below:

A: It is given that the function is qx=2x2-1 over -2,5. It is required to find the absolute minimum…

Q: Find the absolute maximum value of g(x) = 2x² – 2x – 2 over [0, 6]. Provide your answer below:

A: Consider the given function as gx=2x2-2x-2 over 0,6

Q: 36c A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work,…

A:

Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.