3.7 Answers to Exercises

This section includes answers to all the exercises in the Calc tutorial.

• RPN Answer 1: 1 <RET> 2 <RET> 3 <RET> 4 + * -
• RPN Answer 2: 2*4 + 7*9.5 + 5/4
• RPN Answer 3: Operating on levels 2 and 3
• RPN Answer 4: Joe's complex problems
• Algebraic Answer 1: Simulating Q command
• Algebraic Answer 2: Joe's algebraic woes
• Algebraic Answer 3: 1 / 0
• Modes Answer 1: 3#0.1 = 3#0.0222222?
• Modes Answer 2: 16#f.e8fe15
• Modes Answer 3: Joe's rounding bug
• Modes Answer 4: Why floating point?
• Arithmetic Answer 1: Why the \ command?
• Arithmetic Answer 2: Tripping up the B command
• Vector Answer 1: Normalizing a vector
• Vector Answer 2: Average position
• Matrix Answer 1: Row and column sums
• Matrix Answer 2: Symbolic system of equations
• Matrix Answer 3: Over-determined system
• List Answer 1: Powers of two
• List Answer 2: Least-squares fit with matrices
• List Answer 3: Geometric mean
• List Answer 4: Divisor function
• List Answer 5: Duplicate factors
• List Answer 6: Triangular list
• List Answer 7: Another triangular list
• List Answer 8: Maximum of Bessel function
• List Answer 9: Integers the hard way
• List Answer 10: All elements equal
• List Answer 11: Estimating pi with darts
• List Answer 12: Estimating pi with matchsticks
• List Answer 13: Hash codes
• List Answer 14: Random walk
• Types Answer 1: Square root of pi times rational
• Types Answer 2: Infinities
• Types Answer 3: What can "nan" be?
• Types Answer 4: Abbey Road
• Types Answer 5: Friday the 13th
• Types Answer 6: Leap years
• Types Answer 7: Erroneous donut
• Types Answer 8: Dividing intervals
• Types Answer 9: Squaring intervals
• Types Answer 10: Fermat's primality test
• Types Answer 11: pi * 10^7 seconds
• Types Answer 12: Abbey Road on CD
• Types Answer 13: Not quite pi * 10^7 seconds
• Types Answer 14: Supercomputers and c
• Types Answer 15: Sam the Slug
• Algebra Answer 1: Squares and square roots
• Algebra Answer 2: Building polynomial from roots
• Algebra Answer 3: Integral of x sin(pi x)
• Algebra Answer 4: Simpson's rule
• Rewrites Answer 1: Multiplying by conjugate
• Rewrites Answer 2: Alternative fib rule
• Rewrites Answer 3: Rewriting opt(a) + opt(b) x
• Rewrites Answer 4: Sequence of integers
• Rewrites Answer 5: Number of terms in sum
• Rewrites Answer 6: Truncated Taylor series
• Programming Answer 1: Fresnel's C(x)
• Programming Answer 2: Negate third stack element
• Programming Answer 3: Compute sin(x) / x, etc.
• Programming Answer 4: Average value of a list
• Programming Answer 5: Continued fraction phi
• Programming Answer 6: Matrix Fibonacci numbers
• Programming Answer 7: Harmonic number greater than 4
• Programming Answer 8: Newton's method
• Programming Answer 9: Digamma function
• Programming Answer 10: Unpacking a polynomial
• Programming Answer 11: Recursive Stirling numbers
• Programming Answer 12: Stirling numbers with rewrites