Find the absolute maximum and absolute minimum of the following function on the given interval. ƒ(x) = 2x³ - 3x² - 12x + 1, [-2, 3]

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A: y=1+x22x

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Q: Evaluate the following integral using trigonometric substitution. x² √√64-x² S dx

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Q: v+1 v-15 Determine the intervals on which g is concave down. Consider g(v): Og is concave down on: O…

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Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: d the derivative of :) = €5* (x² +9¹)

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Q: Evaluate the following integral using integration by parts. Se 10x cos x dx

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Q: Jo sin(y²) dA, where D is the region bounded by D y = 2x, y = 2, x = 0. Evaluate

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Q: Solve the following homogeneous diffe y"-4y'+4y= 0 »._4y"+л²y = 0, y(0) = 2, y'(0) = 0 x²y" - 2xy' +…

A: Given differential equationwhich is clearly a Euler Cauchy DE

Q: Find the domain of the function. h(u, v) = √3-u² - v² Ou+v≤3 Ou² + v² 0 Ou+v<3

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Q: x 0 1 2 3 4 5 6 7 8 9 f(x) 6 1 3 7 2 5 0 9 8 4 g(x) 6 5374 8 0 1 29 2 9

A: xf(x)g(x)066115233377424558600791882949

Q: Give the partial fraction decomposition for the following function. 2 x²-2x-8 2 2 x-2x-8 ||

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Q: y-values 9 8 7 6 5 4 3- 2 1 If f(x)= = g(x) 41 g(x) h(x) f'(3) -- 2/17 3 2 3 x-values then 4 X…

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Q: Find a possible formula for the graph. Y A 8TT X

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Q: 2c Find numbers a and b such that √a ax+b-2 lim x →0 1. Note: X express your solution based on the…

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Q: Solve the absolute value equation for x. (Enter your answers as SOLUTION.) X = |2x + 41 = -6

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Q: Given f(x) = 21x¹ - 26x³ - 120x² +7x+4 The possible inflection values are x = O Concave Down…

A: In this question, we will find the concave down and up intervals.

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Q: Evaluate the indefinite integral. Answer = +C St tan¹ (2x) dx

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Q: Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

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Q: Find the derivative of the function. dx y=3e4x²-3 II ...

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Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

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Q: The magnitude of the vector (3, -2, 4) is 29. Select one: O True O False

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Q: Find the critical numbers of the function f(x) = 12x5 + 45x¹20x³ +4 and classify them. Round your…

A: To find the critical numbers of the function  and to classify them.