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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = x^{2}  16x + 63 in the interval [7, 9]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = x(x + 3) ex2 in the interval [ 3, 0]. B

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B Use Rolle's Theorem to determine the value of c such that f ′(c) = 0, if f(x) = log (x2+122x) in the interval [ 4,  3]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = cos x in the interval [ π2, π2]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = (x  a)^{m} (x  b)^{n} where m, n are positive integers in the interval [a, b]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = x  x^{3} on [ 2, 1]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = 4x^{3}  5x^{2} + x  2 on [0, 1]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = ln x on [1, e]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = x43 on [ 1, 1]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = 1x on [ 8, 1]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = xx+5 in the interval [ 5, 0]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = x24x12x+4 in the interval [ 2, 6]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = (x + 3)(x  1)^{2} in the interval [ 3, 1]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = 1  x^{2} in the interval [ 1, 1]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = x(x  1) in the interval [0, 1]. B

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B Use Rolle's Theorem to determine the value of c such that f ′ (c) = 0, if f(x) = x^{2}  1 in the interval [ 1, 1]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = x(x^{2}  2x  3) on [ 1, 2]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = x+22x on [12, 2]. B

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B Use Rolle's Theorem to determine the value of c such that f ′(c) = 0, if f(x) = sin 2x in the interval [0, 3π2]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = 1 + 1x on [1, 4]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = x^{2}  4x on [2, 4]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = ax^{2} + bx + c on [l, m]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = (x  1)(x  2) on [0, 4]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = 2 + x^{3} on [ 1, 2]. B

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B Find the value in the interval, which satisfies the Mean Value Theorem for the function f(x) = x29 on [3, 9]. B

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