What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on the interval [0, 14], which of the following conditions is not met? O f(a) + f(b) O continuty on [o, 14] O differentiability on [0, 14]

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

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Q: Apply Rolle's theorem for the function f(x)-x2+2x over the interval [-2,0]. Justify your answer.

A: Rolle's theorem is used to prove the Taylor's theorem and the mean value theorem. Rolle's theorem…

Q: Refer to the following functions: p(x) = x2 + 2x – 15 x +1 9(x) x-3 r(x) = v7-x Which of the…

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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: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: for a 16 a. Determine the differentiability of the function at z = -2 and a = 8. Explain why the…

A: We are given with function d(x) for x=-2 , we use the first function  d(x)=|4-x2| When we graph the…

Q: 2 csc x 11. Evaluate dx by using substitution method. (1– cot x)'

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Q: if z=x+jy, then  check whether the function f(z)=1/1+z2 is an entire function .state the reasons

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Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

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Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

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Q: The domain of the function f(x) = arccos(√3x²-2) is: O A. all x in the interval [¹]. O B. all x in…

A: we need to find the domain of the given function.

Q: Q1 a) let f be a function defined as f(x)=3x² + 2x². Find f(2), f(-1), f(1). b) Define functions f…

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Q: Differentiate the following functions using product rule. 1. f (æ) = (3x – 9) (x – 6) 2. ƒ (x) = (æ³…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: Show that Rolle’s theorem is false for the function f(x) = |x| on the interval [−2, 2]. How can a…

A: Given function f(x)=|x|interval [-2,2] We apply Rolle's theorem only when the function is continuous…

Q: 4 For what value(s) of x is the function f(x) 2x2- 6x | NOT continuous? A. x=0 andx= 3 B. x = 3 only…

A: We need to find points at which f(x)=42x2-6x is not continous.

Q: Verify Rolle's theorem for the function 2x2 – 18x + 29 on the interval f(x) = [2, 7].

A: Given,          The function is fx=2x2-18x+29 on the interval 2,7.