A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 4.3 days. The average brightness of this star is 4.0 and its brightness changes by ±0.45. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function 8(t) = 4.0+ 0.45 sin(2) (a) Find the rate of change of the brightness after t days. dB (b) Find, correct to two decimal places, the rate of increase after five days. dB dt

A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 4.3 days. The average brightness of this star is 4.0 and its brightness changes by ±0.45. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function 8(t) = 4.0+ 0.45 sin(2) (a) Find the rate of change of the brightness after t days. dB (b) Find, correct to two decimal places, the rate of increase after five days. dB dt

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The mass of a star similar to the Sun is 2.04 ✕ 1030 kg, and the mass of an atom of hydrogen, of which the Sun is mostly composed, is 1.67 ✕ 10-27 kg. How many atoms are in the star?
State how many significant figures are proper in the results of the following calculations. (a) (106.7)(6.5)(46.210)(1.01) (b) (25.8)2 (c) (2.9 ✕ 10−19)(3712)
The radius of circle has been measured as r = (4.19 ± 0.3) cm. Calculate the uncertainty δA (in cm²) of its area (A = πr²). Enter the number only, without unit.
The Maton family begins a vacation trip by driving 710 km west. Then the family drives 610 km south, 310 km east, and 410 km north. Where will the Matons end up in relation to their starting point? Give direction only, directly East is 0 degrees and the order goes counter clock wise (North is 90 degrees, West is 180 degrees, South is 270 degrees).
A biologist studies a species of bacteria called FAST, her research reveals that FAST bacteria reproduced prodigiously. If a bacteria culture contains 10 FAST bacteria at time t= 0, the number of FAST bacteria in the culture later time 't' is N(t) = 10 +6t +2t2 where 't' is expressed in seconds. How many bacteria occupy the culture a time t = 10s? At t =11s? Calculate how many net bacteria were born during the interval between t=10 and t=11, assume no bacteria died. Now use calculus to find the birth rate of bacteria (rate at which new bacteria get born) at time t=10s, it may help to sketch a rouch graphy of N vs 't'.
Can you please explain how to solve the uncertainty for this problem. I previously asked the same question but the answer for the uncertainty i was given is wrong +/- 0.00559
A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 0.300 fg (where a femtogram, fg, is 10−15g) and is swimming at a velocity of v = 9.00 μm/s , with an uncertainty in the velocity of 6.00 % . E. coli bacterial cells are around 1 μm ( 10−6 m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate. What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units (m).
help on this please!!
Imagine you derive the following expression by analyzing the physics of a particular system: v2=v20+2axv2=v02+2ax. The problem requires solving for xx, and the known values for the system are a=2.55meter/second2a=2.55meter/second2, v0=21.8meter/secondv0=21.8meter/second, and v=0meter/secondv=0meter/second. Perform the next step in the analysis.
A galaxy G is moving away radially with speed with respect to an observer O. The relation between X, the wavelength of light emitted at G, and λo, the wavelength observed at O, is 入。 λ = λe λε 1+B 1- B' = where ẞ v/c (c is the speed of light). For ẞ < 1 find a power series expansion of the above formula up to and including terms of order ẞ³.