Prove that if a(x) = |r|, the absolute value function, then a E C(R). (Use 1.9.)

Q: By using Lagrange interpolation, evaluate (3) if f(0) = 2, ƒ(1) =1 and f(4) = 4. 5.

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Q: В. B. Show that the function f (z) = -i z2 is analytic.

A: The solution is given as

Q: Consider the function f(x) = xn , where n is odd. Does f −1 exist? Explain.

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Q: Let f"(x) = -x (2x+1)(x-4)" A. On which intervals is f concave down? B. Give the x value of…

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Q: find functions f and g so that f ∘ g = H.

A: H(x)=2x+1

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x²…

A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

Q: If f(z) <0 for all real numbers z then f is decreasing on (-o, 00) Select one: O a. False O b. True

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Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

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Q: 5.) The functiong is related to one of the parent functions g(x) = 2 vx a.) Identify the parent…

A: We can find the answer as given below.

Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: What is (are) the inflection point(s) of the function f(x) = xe"? Select one: O A. -1+ V/2, and -1 -…

A: Please find the solution below:

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: Evaluate (f x g)(2), given that f(z) - and g(z) -. 2. de".

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Q: Define the following real function: f(x) = 2 - x, x is rational and f(x) x2, x is irrational. What…

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Q: 4 Compute f(g(x)) where f(x) =x* -x and g(x) =x²-11. dx The answer is

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Q: Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf…

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Q: Let f(x) =x - 6. For what value of x does function f have the given value? f(w) = 5 2 3

A: Solution:

Q: 3. Consider the relation f (x) = 2x² – 4. Find the f(x). Be sure to use proper notation.

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Q: Given f(x) = |x| +3; x ≥ 0, write an equation for f−1. (Hint: Sketch f(x) and note the domain and…

A: Given,

Q: Find the domain (in interval notation) of the following functions

A: Given function is,

Q: b) Find the approximate value of by applying five iterations of the falße position method. Take…

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Q: Consider the function f(x) = -x + b, where b is a constant, and find the following. a. f(f(0)) b.…

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Q: J 3(x)is even function 0 صواب ihi O

A: We will use the fact that j_-n(x) =(-1)^n j_n(x) to decide whether j_3(x) is even or odd function.

Q: For Exercise, a function is given a. Find f(x + h). b. Find I* + h) – f(x) f(x) = x2 + 4x

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Q: Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a…

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Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

Q: Consider the following function: |3x 9x -18 1 -1 f(x) = -9x 18 9. %3D 2 12 0 1 a) What is the…

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Q: Differentiate the function.

A: Given function -f(u) = lnu1+ln(2u)Differentiating with respect to u - f'(u) = ddulnu1+ln2uf'(u) =…

Q: g: RR, g(x) = x² − x − 6. - - Express you answer as an interval or a union of intervals.

A: Given: g(x)=x2-x-6 We know that for a parabola given by the equation f(x)=ax2+bx+c , the coordinates…