Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice). Patrick Jones

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СКАЧАТЬ let common mistakes trip you up. Some of the following suggestions may be helpful:

       Be careful when using properties of exponents. For example, when multiplying like bases, you add the exponents, and when dividing like bases, you subtract the exponents.

       Factor thoroughly in order to simplify expressions.

       Check your solutions for equations and inequalities if you're unsure of your answer. Some solutions may be extraneous!

       It's easy to forget some algebra techniques, so don't worry if you don't remember everything! Review, review, review.

Simplifying Fractions

       1–13 Simplify the given fractions by adding, subtracting, multiplying, and/or dividing.

      1.

      2.

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Simplifying Radicals

       14–18 Simplify the given radicals. Assume all variables are positive.

14.

      15.

      16.

      17.

      18.

Writing Exponents Using Radical Notation

       19–20 Convert between exponential and radical notation.

      19. Convert

to radical notation. (Note: The final answer can have more than one radical sign.)

      20. Convert

to exponential notation.

The Horizontal Line Test

       21–23 Use the horizontal line test to identify one-to-one functions.

      21. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse.

      (A)

      (B)

      (C)

      (D)

      (E)

      22. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse.

      (A)

      (B)

      (C)

      (D)

      (E)

      23. Use the horizontal line test to determine which of the following functions is a one-to-one function and therefore has an inverse.

      (A)

      (B)

      (C)

      (D)

(E)

Find Inverses Algebraically

       24–29 Find the inverse of the one-to-one function algebraically.

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