Find the average of the function over the given interval.f(x) = x over [-2, 2]Plot the function and its average on the same graph.yy5f(x)f(x)- x2— х-21.2.-21-5-5yy5f(x)fx)XX-212-22

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Answered: Find the average of the function over…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³ Choose the correct answer below. O A. O B. O C. 1 2 f f(x)=x² + 8x and g(x)=x³ - 7x³ +3, then y = f[g(x)]. 3 3 If f(x) = x³ - 7x² +3 and g(x)=x² +8x, then y = f[g(x)]. 1 2 If f(x) = 8x³ - 56x³ +3 and g(x)=x², then y = f[g(x)]. 1 2 OD. If f(x)=x If f(x)=x³ - 7x³ +3 and g(x)=x² + 8x, then y = f[g(x)].
Write the function as a composition of two functions. 2 3-(x²+6x)³-3(x²-6x)³+6 y= (x²+6x)³-3(x²+6x) ³ +6 Choose the correct answer below. ○ A. If f(x) = x²+6x and g(x)=x ов. о с. 1 2 1 2/3 3x3 +6, then y f[g(x)]. 2 If f(x)=x -3x3 +6 and g(x)=x+6x, then y = f[g(x)]. 3 3 2 2 If f(x)=x³-3x² +6 and g(x) = x²+6x, then y = f[g(x)]. 1 OD. If f(x) = 6x³ 2 -18x3 +6 and g(x) = x², then y = f[g(x)].
Find the domain and range of the given function algebraically. Verify your answer using a graph. h(x) = Vx - 23 Domain: O (-*, ) O (-0, -23] [0, ) (-0, 0] [23, 0) Range: O (-0, 0) [0, 0) O [23, 0) (-00, -23] (-0, -23)
Use the graph of y = f (x) to match the function with its graph. y = f(x − 1) + 3
What are the inflection points of the graph of f(x) = x³ – 3x + 2? O The point of inflection is at (0, -2). O The points of inflection are at (1, 0) and (-1, 4). O The point of inflection is at (0, 2). O The points of inflection are at (0, 2) and (-1, 4).
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Which of the following relations is not a function? I. {(1,1), (1,2), (2, 3)} II. {(1,1), (1, 2), (0, 2)} III. {(1,2), (2,3), (3, 3)} (a) I (b) II (c) III (d) I and II (e) II and III
The one-to-one functions g and h are defined as follows. g3((-4, -2), (2, -4), (4, 2), (7, -6)} h (x)=2x-9 Find the following. g h (+) = 0 ( oh)(2) = 0 -1
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8. Which of the following equations do NOT represent functions of x? Explain. •a {(-2,5), (1,3),(3,7),(4,25),(3,-1)} •b y=x^3+20 •c y^2=x •d y=|x+7|

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Find the average of the function over the given interval. f(x) = x over [-2, 2] Plot the function and its average on the same graph. y y 5 f(x) f(x) - x 2. - x 2 -2 1. -2 1 -5 -5 y y 5 f(X) fx) X X -2 1 2 -2 2