Questions from General Calculus


Q: Investigate how the graph off changes as T varies. (Use

Investigate how the graph off changes as T varies. (Use Planck’s Law.) In particular, graph f for the stars Betelgeuse (T = 3400 K), Procyon (T = 6400 K), and Sirius (T = 9200 K), as well as the sun....

See Answer

Q: Evaluate the integral. /

Evaluate the integral.

See Answer

Q: Evaluate the integral. /

Evaluate the integral.

See Answer

Q: First make a substitution and then use integration by parts to evaluate

First make a substitution and then use integration by parts to evaluate the integral.

See Answer

Q: Use l’ Hospital’s Rule to show that / for Planck’s

Use l’ Hospital’s Rule to show that for Planck’s Law. So this law models blackbody radiation better than the Rayleigh-Jeans Law for short waveleng...

See Answer

Q: Use a Taylor polynomial to show that, for large wavelengths,

Use a Taylor polynomial to show that, for large wavelengths, Planck’s Law gives approximately the same values as the Rayleigh-Jeans Law.

See Answer

Q: Graph f as given by both laws on the same screen and

Graph f as given by both laws on the same screen and comment on the similarities and differences. Use T = 5700 K (the temperature of the sun). (You may want to change from meters to the more convenien...

See Answer

Q: Use the Maclaurin series for cos x to compute cos 58 correct

Use the Maclaurin series for cos x to compute cos 58 correct to five decimal places.

See Answer

Q: Use your graph in Problem 3 to estimate the value of /

Use your graph in Problem 3 to estimate the value of / for which f(/) is a maximum under Planck’s Law. Data from Problem 3: Graph f as given by both laws on the same screen and comment on the simila...

See Answer

Q: A family of curves has polar equations / Investigate how

A family of curves has polar equations Investigate how the graph changes as the number a changes. In particular, you should identify the transitional values of a for which the basic shape of the curve...

See Answer