Given the function: f(x) = { // x³-1 x-1 if x #1 k if x = 1 What should be the value of k so that f is continuous at x = 1? 0 3 O 0 0 1 0-1

Q: Suppose f is continuous everywhere, and | f(x) dx = -1 and 3 Find f(2)dz. f(x) dx 2. Find dx. Cannot…

A: As per our guidelines we are supposed to solve only one question i.e. the first question. For the…

Q: Let X={1, 2, …, 16} and define function f(x)=rx for all x€X where rx is the remainder when 3x is…

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Q: Let f be the function defined above, where k is a constant. f(x) = x²+kx-2 3x²+4x+3 x³ + 2 0 2e 2-e…

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Q: Determine whether the following function is continuous at the given point z За? + 14г — 5 1 f(x)= 3x…

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Q: r what value of a is the function f (t) = 08 O-15 O -30 O 24 t -a, -10 < t ≤ 3 t² + 8t, 3 < t < 10…

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Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: 3-x A function is defined by f ( x ) = 3*, where x * 0. Find f-¹ ( x ) Select one: 3 x+1 a. O b. ³/1…

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Q: -X f(x)= cx+b ax² Where c= -2 Calculate a and b so the function is continuous for all R Show all…

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Q: Consider the function f (x) = 3 – |x – 4|| a. Graph the function and verify that f(1) = f(7) b. Note…

A: The given function is f(x)=3-x-4 The function can be redefined as  f(x)=x-1,      x&lt;47-x,…

Q: For what value of the constant A is the following function continuous for all real x? if x<1 (Ax + 5…

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Q: Determine whether the following function is continuous at the given point x = 3 За? + 17х — 6 1 -…

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Q: Which of the following functions are not differentiable? O f(x) = x² - 3 o f(x) = |x| O f(x) = 10x…

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Q: REVIEW: The range of basic sine and cosine functions -15 sin 0 s1 and 1s cos 0 S 1 - #3 For 0 sx <…

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Q: For what constant a is the function f given by ax+1 if x 0 f(x) is differentiable everywhere? O-2 0…

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Q: Determine if each of the following functions f : N x N N is one-to-one: (a) f(m, n) = 10"5". %3D (b)…

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