> Activity 5: Find Those Missing! Solve the following problems. Explain how you arrived at your answers. 1. A rectangular garden has an area of 84 m2 and a perimeter of 38 m. Find its length and width. 2. A children's park is 350 m long and 200 m wide. It is surrounded by a pathway of uniform width. Suppose the total area of the park and the pathway is 74,464 m2. How wide is the pathway? 3. A car travels 20 kph faster than a truck. The car covers 350 km in two hours less than the time it takes the truck to travel the same distance. What is the speed of the car? How about the truck? 4. Jane and Maria can clean the house in 8 hours if they work together. The time that Jane takes in cleaning the house alone is 4 hours more than the time Maria takes in cleaning the same house. How long does it take Jane to clean the house alone? How about Maria? 5. If an amount of money Pin pesos is invested at r percent compounded annually, it will grow to an amount A = P(1+r)² in two years. Suppose Miss Madrigal wants her money amounting to Php200,000 to grow to Php228,980 in two years. At what rate must she invest her money?

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.