UPD Mathematics 21 Third Long Examination (2023-2024 First Semester)

The post contains some differentiation application questions featured in the 05 December 2023 examination. Markschemes are currently unavailable, but we speculate that an AI chatbot could help verify your answers.

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Location: J3XC+9F4, C.P. Garcia Ave, Diliman, Quezon City, 1101 Metro Manila, Philippines

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UP Mathematics Club's UPD Mathematics 21 Sample Third Long Exam (2022-2023 Midyear)

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The following sample exam from the UP Mathematics Club features topics from the third part of UP Diliman Mathematics 21. You will find below its questions and the corresponding markscheme.  Questions Do as indicated. This examination is good for 1.5 hours. This exam contains 8 questions and will be graded 35 points. Calculators are not allowed. (3 points) Find the absolute extrema of the function f(x) = x 3 + 5x 2 + 8x − 10 on the interval [−2,−1]. (5 points) A container box is to be made from a 7 × 7 inches galvanized flat sheet by cutting identical squares out of the four corners and turning up the sides. Find the volume of the largest box that can be made in this way. (4 points) Christian, who owns a store, sells 500 xphones a week for $450 each. His data analyst for market research shows that each decrease of $5 in the price will result in the sale of an additional 10 xphones per week. If Christian is deciding on whether to decrease or keep his prices, what price w...
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