Find the absolute maximum and minimum of the function f(x, y) = x² + y² subject to the constraint x² + y² = 10000. As usual, ignore unneeded answer blanks, and list points in lexicographic order. Absolute minimum value: attained at ( ), ( Absolute maximum value: attained at ( " ), ( 2 4. ²), ( " ), ( 2 & ), ( ) ,( چه ²). ²).

Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(0.5) f(-4)…

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Q: Find the domain of the following expression and write your answer in interval notation.. 5-x 9x2…

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Q: Find the slope of the graph of the function at the given value. f(x)=-4x²+6x- when x=-3 802 9 a)…

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Q: A function and its graph are given. fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 (a) From the…

A: Consider the function:

Q: Q/find the Domain and the range. ofthe function f(x) = _5X х2 -3х+4

A: We have Fx=5xx2-3x+4 Now, we factor the denominator. We have x2-3x+4 The solution of ax2+bx+c=0 is…

Q: A function and its graph are given. Fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 - 50 (a) From…

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Q: het 5) Evaluate the Peicewise function if XLO if OLXL3 if x73 x+2. f(-5) = f(2) = %3D %3D

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Q: What is the domain in interval notation of the function scrt(x-4)/scrt(x-6)

A: Solution:function :- x-4x-6∵we know that the value in the square root can not be…

Q: (2,1)(-3,5)(5,-3)(2,-8)(0,0)

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Q: Suppose that the function h is defined, for all real numbers, as follows. 1 *-2 if x2 4 Find h(-1,,…

A: The given function is,h(x)=-14x-2if x<-1(x+1)2-2if -1≤x≤2-14x+2if x>2

Q: 23 Which set of ordered pairs represent a function? {(-1, 3), (2, 7), (1, 7)} ® {(-1, 3), (-1, 7),…

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Q: Identify the vertex for: f(x) = x² +5x-2 O (-2,--5-) O (--/ -2) O (--/ -33) 33 O ( - 11/, --5-)

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Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

A: We have to check

Q: Which set of ordered pairs does not represent a function? »(10)(3-7) (7.9) (3-10} {(-3,-8). (-1,-6).…

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Q: -4 -2 4 2. 2.

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Q: Suppose that f(x) is an odd function and that f(-2)=4 Find the value of f(2)

A: Given data:     The given value of the odd function is: f(-2)=4.     The standard expression for the…

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Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: A function f(x) is given by the following set of ordered pairs: {(2,6), (4, 12), (5, 15), (9, 27)}.…

A: The function is represented by the ordered pairs 2, 6, 4, 12, 5, 15, 9, 27. (a) Express fx using…