What are some examples where we could not directly evaluate the limit at the point the variable is approaching? Why can't we do such a plug in?

Q: 72. Break-even analysis. Use the revenue function from Problem 70, and the given cost function: R(x)…

A: A) See the graph of both the functions below

Q: What is the maximum value of the function f(x, y) = 10(x + y − 2)² – (x − y)² on the triangle…

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Q: (x-1)(y-2) Is ƒ(x,y)= { x² − 2x + y² − 4y+5 0 (x, y) (1,2) (x, y)=(1,2) continuous?

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Q: 1 At what value of x, f(x) = x(1-x) attains its absolute minimum value over the interval [2,3]?

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Q: Given the function こx (x+2)(x-2) yl"=-6x(x²-ax+4) (x+a)³ (X -1)³ 3. with 3 Complete the first deri…

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Q: 8 Given kER, the function f(x, y) = kx² + (k − 1)y² + 12.ry admits (A) a minimum point, if k = 0)…

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Q: 1. Find the absolute maximum and/or minimum values of the given functions in the given intervals (in…

A: Solving we ll get the critical points, which are the candidates for points of maximum or points of…

Q: 11. Use the graph below to answer the following questions: a) Does the function have any global…

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Q: Which of the following is true about F(x) = x² – 6x + 8 (circle one answer)? F has an absolute…

A: The given function is: F(x)=x2-6x+8

Q: 6. f(x) = f(-4)= 5 -2x-3 Domain: Function: Yes No Continuous: Yes No f(0) = f(3) = x≤-3 x>-3 Range:…

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Q: en limf(x) =f(c). TH

A: a)  For a function f(x), limx→c f(x)=f(c) means that the function is continuous at x=c.  In this…

Q: Which function has a minimum at x = 3? Ax) = (x+3)² ) g(1) = x ~ fix + 9 k(x)=x²-2x-3 j(x)--(x-3)²

A: The given functions are The aim is to find the function which has the minimum value at .

Q: Find the giobal maximum/ minimum points of a. flx) = [-s, -4] X-1 on 3+X

A: Topic- Application of Derivative

Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

Q: 8 Given k E R, the function f(x, y) = ka² + (k – 1)y² + 12ry admits (A) a minimum point, if k = 0…

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Q: = 3xe 2 on the interval [-3,3]. , and the maximum value is y Find the global maximum value of f(x) =…

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Q: 2.3 Find all the local and global min, local and global max of a) y = f(x) = x³-x²-x+3 on the closed…

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: Find the absolute maximum value of 2 y = 3 on the interval [0, 2]. 5 3 1. max value = 3. max value…

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Q: 35. Estimate any extrema of the function given by g(x) = x3 – x3.

A: The extrema of a function are the maximum and minimum values of the function. To find the critical…

Q: 4. Which of the following function has an absolute minimum on (-o, +00)? (a) ƒ(x) = 5 – 3x² (b) f(x)…

A: Given: To identify which function has an absolute minimum on (-∞, +∞) a) f(x)=5-3x2 b) f(x)=x5+3x2…

Q: Find the minimum value of the function f (x, y) = 16x² +81y² subject to the constraint xy = 1.

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Q: Suppose you know that there is only one c value such that f" (c) = 0. f" (x) < 0 if x < c, and f"…

A: See the attachment

Q: 5. Find the extrema (absolute maximum / absolute minimum) of the function f(x) = x³ – |x² + 5x + 6|…

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