(- 6,6) (12,4) (-4,4) 2,0) -12 -8 4 12 (0,- 2) (8,0) (- 14, – 4) 4.

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = } (-x? + 10x - b, x24 satisfies…

A:

Q: The absolute maximum of the function f(x) = 2x² + 4x + 16 over [1, 6].

A:

Q: The inequality V4-x-2 0 that places the centered interval (-6,6) inside the interval (-4e-e,4e-e).…

A:

Q: ) Calculate the interval ((x– 2s,x+2s) and, hence find the number of observations fall in the…

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Q: Express the set of numbers x satisfying the given condition as an interval. |x| &lt; 4

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Q: Verify that the Intermediate Value theorem

A: Concept: Intermediate value theorem is precise mathematical statement having the properties of…

Q: The absolute maximum of the function f(x) = 3x2 + 3x + 14 over [1, 7].

A: We first find the critical points using the f'(x)=0 f(x)=3x2+3x+14f'(x)=6x+30=6x+36x=-3x=-36x=-0.5

Q: Express the set of numbers x satisfying the given condition as an interval. |4x − 1| ≤ 8

A:

Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

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A: Topic:- function

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A:

Q: The absolute minimum value of the function f(x) = 9x² – 18x + 3 over the interval [0, 10] 6. -6 3 4

A: The absolute minimum value of the function f(x)=9x2-18x+3 over the interval [0,10]

Q: The absolute minimum value of the function f(x) = 9x² – 18x + 5 over the interval [0, 10] - O 5 3 O…

A:

Q: 13 X ƒ(x) = [5,-3],ƒ(c) = -1/ x²-4,

A: The intermediate value theorem states that if f is a continuous function whose domain contains the…

Q: Use the hinge Theorem or it’s converse and properties of triangles to write and solve an inequality…

A: Use the hinge Theorem or it’s converse and properties of triangles to write and solve an inequality…

Q: (c) For what values of a and b does the function ах 3, x < 4 f(x) = (-x² + 10x – b, x 2 4 satisfies…

A: Answer:   a = 0 and b = 27

Q: Consider the function f (x) = 4x³ – 30x² + 48x on the interval [-3, 7]. Find the absolute extrema…

A: Given ,  f(x) = 4x3 - 30x2 + 48x on the interval [-3 , 7] We have to find the absolute extrema for…

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A: Domain:- The set of all possible values of "x" that the relation can take. Range:- The set of all…

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A: volume of the box,V(x)=x2104-4x

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A:

Q: True or False? The function f(x)=the square root of 4-x2 is guaranteed to have an absolute maximum…

A: We have to check

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A:

Q: The profit P (in dollars) from sales is given by P = -200x2 + 2200x – 4600 where x is the number of…

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Q: Find the absolute maximum and minimum, if any, on the given interval, and state where those value…

A: a Given that, the function is fx=x2+1x+1x-5, -1,5. Find the first derivative of the given function…

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Q: Over which interval of the domain is function m negative? 10 8- 6- 2- -10 -8-6 -4 -2 4 6 8 10 -2-…

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Q: 1 or what value of x does the function f(x) ==x 4x attain the absolute minimum |- a the interval…

A: In this question, the concept of maxima and minima is applied. Absolute Minima and Absolute Maxima…

Q: Find the absolute extrema of the function on the closed interval. 7x2 g(x) = [-2, 1] х — 2 minimum…

A: We have to find the absolute extrema of the given function in the given interval.

Q: The absolute maximum of the function f(x) = 3x² + 3x + 12 over [1, 6].

A: f(x)=3x2+3x+12    over  1,6firstly, we have to find critical pointsf'(x)=6x+3=0⇒6x=-3   ⇒x=-36=-12

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y2 + 6x −…

A: Find the extreme values of f on the region described by the inequality. f(x, y) = x2+ y2+ 6x − 6y,…

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

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Q: . The function f has domain the set of numbers with absolute value less than 4 and is defined 3 x+5,…

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 − 4x −…

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Q: 28. Determine the absolute minimum value of f on the interval [-1/2,4]. f (x) = x³ – 3x? 16 7 -4

A:

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: On which interval is f(x) = x³ – 12x + 12 decreasing? ㅇ (-8;2) ㅇ (-8, +8) | O (-2,+0) O (-2, 2) O…

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Q: n 2sin(x)=1, on the interval 10, 2π], what is the value of x?

A: Given query is to find the value of x.

Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: 2. Find the absolute max and min of the function f(x) = x° (x-4)² on the interval -1,5] using the…

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Q: Express the set of numbers x satisfying the given condition as an interval. |x − 4| &lt; 2

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Q: 2: Find the minimum value of f on the closed interval [-3,8]. Justify yokr answer..

A: To find the minimum value of f on the closed interval -3,8

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Q: analytic except at finte possible points 2121 1-そ Fend ofo.

A: A function f(z) is said to be analytic that is if f(z)=u + i v, and z= x + i y in the region R If…

Q: (a) Find a number x in the closed interval , such that the sum of the number and its reciprocal is…

A: A continuous function f on a closed interval a,b has both absolute maximum (largest ) and absolute…

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = -x² + 10x - b, x2 4 satisfies…

A: