Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the inequality |f(x) – L|

Q: The minimum value of the function f(x, y) = (x – 1)² + (y – 1)² subject to the constriant x? + y² =…

A: To find the minimum value of the function f(x,y)=(x-1)2+(y-1)2 subject to constraint x2+y2=8. Let,…

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: On the graph of f(x) = sin x and the interval [-27, 0), for what value of x does f(x) achieve a…

A: First we draw a graph of sin(x) . Then we get at x=-π/2 sinx  achieve a minimum.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

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

Q: n 19 The minimum value of function y = x² in the interval [1, 5] is %3D

A: Introduction :

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

Q: Judge the statement: The function f (x, y) = e ^ {xy} subject to the restriction x ^ 3 + y ^ 3 = 16…

A: Given function is fx,y=exy subject to,   g(x,y)=x3+y3-16=0

Q: For what value of x does the function f(x)=1/3x3-4 attain the absoulte maximum in tyhe interval…

A: Put derivative zero for maxima and minima

Q: True or False: The linear function y = mx + b, where m # 0 has no maximum value on any open…

A: The answer is True.

Q: (X- At which value does the function g(x)= 3x^4 - 4x^3 attain a the minimum value? Type answer as…

A:

Q: If the total revenue function for a blender is R(x) = 40x − 0.01x2   where x is the number of units…

A:

Q: On the graph of f(x) = cos x and the interval [27, 47), for what value of x does f(x) achieve a…

A: Here given function

Q: What are the minimum and maximum values of the equation f(x) = 5x O 47, 33 O 4, 4 0.95, 1 O 0,0.27…

A: To find  The minimum and maximum values of f(x) on the given interval.

Q: For function f(x,y) to have minimum value at (a,b) value is? 1) rt - s>0 and r0 and r>0 3) rt - s?0…

A: For a function fx,y to have minimum value at a,b, which of the given condition is true? 1)…

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

A: Given: The cost to produce x batches of widgets is Cx=x+14 The revenue is Rx=-x2+10x C(x) and R(x)…

Q: Find the maximum of the quantity xy2, where r and y are nonnegative re numbers, and x+y = 9. Enter…

A: x+y=9 or y=9-x and x and y are non-negative real numbers

Q: For what value of x does the function f(x) = 4x attain the absolute minimum %3D in the interval…

A:

Q: Findthe absolute minimum on ico, ae) fon f (x) =x+l6,

A: Critical points of the given function can be found if dfdx=0 fx=x+16x Differentiating the function…

Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

A:

Q: On the graph of f(x)=sin x and the interval [-27,0), for what value of x does f(x) achieve a…

A:

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

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

A:

Q: Suppose that f(æ, y) = x² – xy+ y² – 5æ + 5y with æ² + y² < 5?. 1. Absolute minimum of f(x, y) is 2.…

A:

Q: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

A:

Q: What is the absolute minimum value of the function f(x) = x³ – 3x2 on the interval [-1, 4] ? а. 16 O…

A:

Q: By choosing x, find a maximum of xre-x, if r>2, otherwise the function goes to infinity at x=0.

A:

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A:

Q: f(x) = x – e2x %3D

A:

Q: f(x) = x2 + 4

A: Given: fx=xx2+4 To Find: a. Interval for which f(x) is increasing.b. Minimum Valuec. Point of…

Q: If a resistor of R ohms is connected across a battery of E volts with internal resistance r ohms,…

A:

Q: True or False: The linear function y = mx + b , where m ≠ 0 has no maximum value on any open…

A: true, the function y = mx +c has no maximum value in any open interval Reason: the graph of y = mx+c…

Q: A clothing company determines that its marginal​ cost, in dollars per​ dress, is given by the…

A: Ans: $ 2160 Find the function C(x), putting the value for cost of 220 units/dresses calculate the…

Q: Suppose that the demand x (in units) for a product is x = 16,500 – 150p, where p dollars is the…

A: It will be max where dE/dp will be 0.

Q: Suppose that the demand x (in units) for a product is x = 7,500 − 150p, where p dollars is the…

A: Given demand function x (in units) for a product  x=7500-150p where p dollars is the market price…

Q: Find the minimum value of the function f(x) =+3 Inx on the interval ,e. JUSTIFY YOUR ANSWER. %3D

A: Given, fx = 2x+3lnx   We  have to find the minimum value of  fx = 2x+3lnx   in the interval 12, e

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

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A: Given  , Average cost per bicycle  C(x) = 0.5x2-0.5x+3.769

Q: For the function f (x) =x³ – 3 -x² + 8 , find the coordinates of all Critical Points.

A: Given, fx=x3-3x2+8

Q: ou have estimated the cost function for producing q items will be C(q) = 29400 + 16q, and %3D expect…

A:

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: Please

A: The given function is

Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: Given that, The price demand function is px=70-0.25x and the cost function is Cx=0.5x2+10x+800. We…

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

A:

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A: Given equation - R =-4p2+4000p          ...........(1)Part (a) - Revenue = R = 0p = price = ?From…

Q: What is the absolute minimum value of the function f(x) = x' - 3x2 on the interval [-2, 4] ? Оа. 16…

A:

Q: On the graph of f(x) = cos x and the interval [-27, 0), for what value of x does f(x) achieve a…

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per…

A: Consider the provided cost function.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.