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Next: Plurality Up: Morphing Symbols and Expressions Previous: Other Morphs

Exercises

  1. Visualize each of the expressions below. In your image, reduce the expression via fusion.

    1. x + 3 - x
    2. $y^{2}+4x-2x$
    3. $\frac{3x-1}{x}+\frac{1}{x}$
    4. $x+y^{2}+x-2x$
  2. Solve each of the following equations mentally. If you need to take a root, or do something else that would lead to multiple solutions, just pick the more positive value at that point.

    1. $(x+1)^{2}=16$
    2. $x^{2}-10x+20=11$ (Hint: Complete the square.)
    3. $10^{2x-3}=1000$
    4. Invert this equation: $x(t)=\alpha+\beta e^{-ct}$
Solutions: 2(a) x = 3, (b) x = 9, (c) x = 3, (d) $t(x)=-\frac{1}{c}\ln\left(\frac{x-\alpha}{\beta}\right)$