In the expression for the period of a simple pendulum, we do not take into account the mass that is hanging from the string. How is it possible that the mass does not affect the period of the pendulum? It was stated that the displacement that started the pendulum was small. What would happen if we started the pendulum with an ex ...continues
I need the mass and radius of three of the nine planets in our solar system. Be sure that the masses are expressed in kilograms and the radii are expressed in meters. I chose Pluto, Venus, and Mars. Using your data, calculate the gravitational acceleration on each of the three planets you selected. The masses should be measure ...continues
Rate of Absorption Formula : Body Surface Area
The body's absorption of medicine is often modeled by a formula that depends upon a person's weight. Reorganize your formula so it is solved for the weight. Choose 5 different rates of absorption and use your formula to find the body weights that are associated with each rate. Formula: kg^0.425 x cm^0.725 x 0.007184 = B ...continues
The question ask - in the real world, what might be a situation where it is preferable for the data to form a relation but not a function? Also, if the variables in an equation were reversed, what would happen to the graph of the equation? This was the example I was given, how would the graph of y = x² relate to the graph o ...continues
Gauss-Jordan or Cramer's Rule? : Method used by Software Packages and an Example
Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system. Problem: Execute the research necessary to find out which of the four techniques (the Method of Addition, the Method of Substitution, Gauss-Jordan Elimination, and Cramer's Rule) is used in the maj ...continues
Exponential and Logarithmic Functions : Capacitance
If a capacitor with a capacitance of 0.000005 farads is wired in a circuit with a total resistance of 5000 ohms (the standard unit of electrical resistance), how long must the capacitor be wired to a source voltage to reach 50% of its maximum charge? (The Hint was: Begin by expressing q as 0.5Q)
Exponential and Logarithmic Functions : Capacitance
Background Information The paddles of a defibrillator in an ambulance or the emergency room of a hospital are actually the two plates of an electronic device called a capacitor. A capacitor is built from two conducting plates that are attached to a voltage source. Due to the voltage source, electrical charges move through th ...continues
Sum of Integers as Related to the Sum of Squares
Prove or Disprove that the sum of two integers each representable as the sum of three squares of integers is also thus representable.
Is there a perfect square n^2 such that n^2 = -1 (mod p) for p=3 p=5 p=7 p=11 p=13 p=17 p=19? Can you characterize the primes for which n^2 = -1 (mod p) has a solution?
Prove that: if bd= bc (mod p) where p is a prime (and p does not divide b) , then d= c (mod p)
