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# Tutorial 1 - Tutorial 1 Introduction to Calculus and Linear...

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Tutorial 1 – Introduction to Calculus and Linear Algebra Page 1 of 2 Tutorial 1 Introduction to Calculus and Linear Algebra Solve Exercises 1 to 6 1. 1 3 2 7 3 = + = - y x y x 2. 7 11 3 26 3 4 - = - = + y x y x 3. 7 3 5 1 12 7 = - - = + n m n m 4. x y x y 04 . 0 100 08 . 0 + = = 5. 79 . 0 3 . 0 8 . 0 07 . 0 5 . 0 2 . 0 = - = - v u v u 6. 5 4 5 3 7 2 2 3 5 2 - = + = - y x y x 7. A chemist has two solutions of hydrochloric acid in stock: a 50% solution and an 80% solution. How much of each should be used to obtain 100 milliliters of a 68% solution? 8. Animals in an experiment are to be kept on a strict diet. Each animal is to receive, among other things, 20 grams of protein and 6 grams of fat. The laboratory technician is able to purchase two food mixes of the following compositions: Mix A has 10% protein and 6% fat, mix B has 20% protein and 2% fat. How many grams of each mix should be used to obtain the right diet for a single animal? 9. Suppose you have \$12,000 to invest. If part is invested at 10% and the rest at 15%, how much should be invested at each rate to yield 12% on the total amount invested?

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Tutorial 1 - Tutorial 1 Introduction to Calculus and Linear...

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