###### Principles of Physics A Calculus-Based Text

458 SOLVED PROBLEMS

Question: 28.Q-Q.2

Question: B.7

## A useful formula that follows from Equation B.30 is the derivative of the quotient of two functions. Show that d/dx = [g(x)/h(x)] = hdg/dx – gdh/dx / h² ...

We can write the quotient as  g h^{-1} [/la...
Question: B.6

## Find the derivative of y(x) = x³ / (x + 1)² with respect to x. ...

We can rewrite this function as  y(x)= x^{3...
Question: B.5

## Find the derivative of y(x) = 8x^5 + 4x³ + 2x + 7 ...

By applying Equation B.29 to each term independent...
Question: B.2

## Solve the two simultaneous equations (1) 5x + y = -8 (2) 2x – 2y = 4 ...

From (2), x = y + 2. Substitution of this equation...
Question: 31.Q-Q.6

## Using a coordinate system like that in Figure 31.8, draw an eightfoldway diagram for the three quarks in the original quark model. ...

The diagram would look like this one:
Question: 31.Q-Q.5

## Suppose a claim is made that the decay of the neutron is given by n → p + e^-. What conservation laws are violated by this decay? (a) energy (b) angular momentum (c) electric charge (d) baryon number (e) electron-lepton number (f) muon-lepton number (g) tau-lepton number (h) no conservation laws ...

(b), (e). There is one spin- \frac{1}{2} [/...
Question: 31.Q-Q.4

## Consider the following decay: π^0 → µ^- + e^+ + νµ . What conservation laws are violated by this decay? (a) energy (b) angular momentum (c) electric charge (d) baryon number (e) electron-lepton number (f) muon-lepton number (g) tau-lepton number (h) no conservation laws ...

(b), (e), (f). The pion on the left has integral s...
Question: 31.Q-Q.3