Step 5 Since f "(x) = there must be an absolute minimum at x = -21. Thus, the two numbers are as follows. (smaller number) (larger number)

Q: A relative maximum occurs at the point(s)

A: Given: Graph of the function :

Q: Identify the labeled x-coordinate on the graph at the right as the location of an absolute minimum,…

A: Given:

Q: What are the conditions for a critical point of a function ƒ?

A: If "c" is to be a critical point of a function f , it has to be a solution of f'(x)=0 To be an…

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

A:

Q: 1) Of all numbers whose difference is 2, find the two numbers that have the minimum product. [HINT:…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Can i get help step by step?

A:

Q: 10. If the minimum of the function y =x 2-4x+21 occurs at x = 2, what are the coordinates of the…

A: We have to find mimimum point

Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

A:

Q: If the total cost function (in dollars) of a company that produces x number of portfolios per week…

A:

Q: Identify the labeled x-coordinate on the graph at the right as the location of an absolute minimum,…

A: To fill the blank.

Q: Sketch the graph of a function on [-1, 2] that has anabsolute maximum but no absolute minimum.

A: According to the given information, it is required to sketch the graph of the function on [-1,2]…

Q: Find the absolute minimum value for on the interval [-1,1]

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: How can you use the slopes of tangents to determine whether a function is increasing, decreasing, at…

A:

Q: Find the maximum area of a triangle formed by the axes and a tangent line to the graph of y = (x +…

A: Find the maximum area of a triangle formed by the axes and a tangent line to the graph of y = (x +…

Q: What is the minimum value of x^2+100/x on a horizontal span of 1 to 5?

A: The given expression is x2+100x;1,2,3,4,5. Let us use the graph to analyze the above function for…

Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

A:

Q: Determine where the absolute extrema of f(x) =--5x + 14x on the interval 1, 3] occur. 1. The…

A: Given function is

Q: f (x) = e'/x²

A:

Q: Use a graphing calculator to estimate the local maximum and local minimum values of the function to…

A: Local extrema.

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

A:

Q: Sketch the graph of a differentiable function y = ƒ(x) that has local maxima at (1, 1) and (3, 3);

A: given that a differentiable function y=f(x) and has s local maxima at (1,1) and (3,3) local maxima…

Q: If the function tends to infinity at the endpoints of the interval, then the function must take on a…

A: A continuous function defined on open interval with range equal to a closed interval. Consider a…

Q: Suppose that f(x, y) = 3x* + 3yª – 2ry Then the minimum is

A: Given, f(x,y)=3x4+3y4-2xy

Q: Find the location of the maximum absolute extremum for the function. O A. x=5 A (x) 6- B. x=3 O C.…

A:

Q: Find the absolute extrema of the function on the interval [0, 0). (If an answer does not exist,…

A:

Q: he relative minimum value is f II

A:

Q: How do I find the absolute minimum of g(x)=ex/(7x) when x>0?

A: We first find the critical number by solving…

Q: If the graph off is increasing before x=c and decreasing after x = c, then the function has relative…

A:

Q: %3D

A: We are given : f(x,y)=4x-8xy+2y+1 Let u= f(x,y)=4x-8xy+2y+1…

Q: A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x…

A:

Q: Where does A(x) have a maximum? Explain why that answer is what you should have expected.

A:

Q: Look for minimum values, if any of the functions: f(x) = + 2 %3D

A: Given f(x)=4x2+1+2 ⇒f'(x)=-4(2x)(x2+1)2⇒f"(x)=-8(x2+1)-x(2x)(x2+1)4              =16x2-8x2-8(x2+1)4…

Q: When can we say that a function or a graph has extrema (both minimum and maximum value)

A:

Q: Find the absolute extrema of the function on the closed interval. y = 3x2/3 - 2x, [-1, 1] minimum…

A: y=3x23-2x  , [-1,1]

Q: Show that the equation y^2=x determines an infinite number of implicit functions.

A: Consider the given equation: y2=xSolve in terms of y:y=±xSo, there are two functions that can be…

Q: Find the absolute extrema of the function on the closed interval. g(x) = 9 sec x, 3 minimum (x, y) =…

A:

Q: b- find any locl maximum and locl minimum values by using first derivative: I(x)=x-2x

A: Given, f(x)=x4-2x2

Q: Find the number whose sum with its reciprocal is a minimum.

A:

Q: 10 f(x) 10 5 -10 10 X

A:

Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately R ( x…

A: Given Revenue function Rx=500x-0.02x2 Cost function Cx=120x+100,000

Q: What is the absolute minimum value of q(x) = 2x -1 over -2, 5?

A: We have to find the absolute minimum value of q(x) = 2x2 - 1 over [-2, 5].

Q: The management of Thermomaster Company, has estimated that the total weekly cost (in dollars) for…

A: Given that,  C(x)=8000+5x Average Cost function is,               C=C(x)x

Q: Two different level curves of the graph of z = f(x, y) can intersect. True False

A:

Q: Describe how you would use the second derivative to determine a local minimum or maximum.

A: Given data is: How you would use the second derivative to determine a local minimum or maximum

Q: The cost (in rupees) of producing x pillows is given by x² + 20x + 500, while the price (in rupees)…

A:

Q: On the domain (0, o), find the minimum value of f(x) = D %3D

A: Given function

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

Q: Consider the following. Rx) = x - x + 2, -1sxS1 Use technology to estimate the absolute maximum and…

A:

Q: What conditions must be met to ensure that a function has anabsolute maximum value and an absolute…

A: Given, To write conditions that must be met to ensure that a function has anabsolute maximum value…