a. Devertine whether the Mean Value Theorem applies to the function f(x)=sin−1x on tho interval [−1,−21​]. b. If so, fin

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A Devertine Whether The Mean Value Theorem Applies To The Function F X Sin 1x On Tho Interval 1 21 B If So Fin 1 (30.08 KiB) Viewed 40 times

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a. Devertine whether the Mean Value Theorem applies to the function f(x)=sin−1x on tho interval [−1,−21​]. b. If so, find or approximate the point(s) that are guaranteod to exist by the Mean Value Theorem. a. Choose the correct answer below. A. Yes; f(x) is continuous on [−1,−21​] and differentiable on (−1,−21​). B. Yes; f(x) is not continuous on [−1,−21​] and not diferentiable on (−1,−21​). C. No: f(x) is differentiable on (−1,−21​), but not continuous on [−1,−21​]. D. No; f(x) is continuous on [−1,−21​], but not differentiable on (−1,−21​). b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The point(s) is/are x= (Type an exact answer, using π as needed, Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The Mean Value Theorem does not apply in this case.
Evaluate the following limit in two different ways: with and without l'Hòpital's Rule. x→∞lim​7x4+6x−19x4−8x​​ Apply I'Hopital's Rule as many times as needed to find an equivalent limit that does not produce an indeterminate form. x→∞lim​7x4+6x−19x4−8x​​=x→∞lim​ Describe how to evaluato the given limit without using l'Hôpital's Rule. Select the correct choice below and fill in the linswer box to complete your choice. (Simplify your answer. Do not factor.) A. Multiply each term in the numerator and denominator by x to obtain x→∞lim​ B. Use the change of variables u=x1​ to obtain u→0+lim​ C. Remove common factors in the numerator and denominator to obtain lim D. Divide each term in the numerator and denominator by x4 to obtain x→∞lim​ 9x4−8x​
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