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Home Question Bank Math Calculus Archive 2025 January 23

Calculus Questions from Jan 23,2025

Browse the Calculus Q&A Archive for Jan 23,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find 1) XERCICE : (3 points) ur chaque question une seule des trois propositions est exacte. Choisir la bo stification n'est demandée. Soit une fonction dérivable sur ; On donne alors : Part I: Workout each of the following question with necessary steps clearly ad neatly 1. Use the principle of mathematical induction to prove that is divisible by 5 , for all integers . ( 5 points) 2. If the complex number , where and are real, prove that and . ( 5 points) 3. Find the fourth roots of a complex number . 4. Show that the function given by is not a one-to-one correspondence function. 5. Find the inverse of the function 6. Find the eccentricity, length of the transverse axis, length of the conjugate axis, vertices, foci, equations of the directrices, and length of the latus rectum of the hyperbola: ( 5 points ) (a) (b) Hallar la recta tangente d Halle a Solve for in the following equation: Please write your answers in a legible way and submit a single pdf file. 1. Consider functions which are asymptotically positive. Using the definitions show that if then .
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