Please answer all the questions in the attached file.

Requirements:

1. Please read the questions carefully.

2. Use grade 12 calculus level answers.

3. Answer in exact integers, fractions, multiples of ?, or radicals unless stated by the question to answer in decimal form (round to 2 decimal places).

4. Include step-by-step instructions and detailed answers in chronological order.

5. Maintain proper answer formatting.

1. Determine the intervals of concavity and any points of inection for: {(x) = e"sinx on the interval 0 S x S 2% 2. A supermarket is designed to have a rectangular oor area of 3750 m2 with 3 walls made of cement blocks and one wall made of glass. In order to conform to the building code, the length of the glass wall must not exceed 60 m, but must not be less than 30 m. The cost of a glass wall per metre is twice the cost of a cement wall per metre. Determine the dimensions of the oor that will minimize the cost of building the walls. 3. A drug is injected into the body in such a way that the concentration, C, in the blood at time t hours is given by the function C(t) = 10(e'2' - e'\") At What time does the highest concentration occur within the rst 2 hours