bradleyaustinrichmond

Compare & Contrast: Two-fold degenerate sites, four-fold degenerate sites, and nondegenerate sites

A charge of 87.6 pC is uniformly distributed on the surface of a thin sheet of insulating material that has a total area of 29.2 cm^2. A Gaussian surface encloses a portion of the sheet of charge. If the flux through the Gaussian surface is 5.00 N.m^2/C, what area of the sheet is enclosed by the Gaussian surface?

If two electrons are each 1.50x10^(-10) m from a proton, find the magnitude and direction of the net electric force they will exert on the proton.

A conductor with an inner cavity carries a total charge of +4.60 nC. The charge within the cavity, insulated from the conductor, is -6.10 nC. How much charge is on the inner surface of the conductor?

A point charge q1 = +2.10 uC is held stationary at the origin. A second point charge q2 = -4.60 uC moves from the point x=0.150 m, y=0 to the point x=0.250 m, y=0.270 m. How much work is done by the electric force on q2?

A charge of 30.0 nC is placed in a uniform electric field that is directed vertically upward and has a magnitude of 3.60x10^4 V/m. What work is done by the electric force when the charge moves 0.490 m to the right?

True or False: 

The ultimate result of drift is the random fixation of alleles and genetic differentiation within a population.
Group of answer choices

True

False

Two large, parallel, metal plates carry opposite charges of equal magnitude. They are separated by 50.0 mm, and the potential difference between them is 365 V. What is the magnitude of the electric field (assumed to be uniform) in the region between the plates?

Compute s3 (the 3rd partial sum) of s=∑[n=1 to ∞] 6/(5n^8) :
s3= 

Note: if giving a decimal approximation to this part, you may need to enter more digits than usual. You may also need to complete other parts of the problem before Webwork will recognize this answer as correct.

(b) Estimate the error in using s3 as an approximation of the sum of the series (i.e. use ∫[∞,3] f(x)dx≥R3 ):
Estimate = 

(c) Use n=3 and

sn+∫[∞,n+1] f(x)dx≤s≤sn+∫[∞,n] f(x)dx

to find a better estimate of the sum:
 ≤s≤

Bustamante et al. (2005) looked at patterns of natural selection acting on protein-coding genes in the human genome. Of the 3377 genes analyzed, they found 304 (9.0%) showed evidence of rapid amino acid evolution. Here we focus on two loci from their study: SRMS and THEDC1. 
 
a) Within SRMS, Bustamante et al. found 1 nonsynonymous site and 8 synonymous sites that differed between humans and chimpanzees. They also found 9 nonsynonymous sites within humans and 4 synonymous sites. Carry out a chi-square test (X2) of polymorphism and divergence (i.e. McDonald-Kreitman test) and interpret the result. For calculations of X2 use a critical value of 3.84. (6 marks)
 
b) Within THEDC1, Bustamante et al. found 14 nonsynonymous sites and 9 synonymous sites that differed between humans and chimpanzees. They also found 1 nonsynonymous site within humans and 6 synonymous sites. Carry out a chi-square test of polymorphism and divergence and interpret the result. (6 marks)
 
c) Given your findings in a) and b), which (if any) of SRMS and THEDC1 would have been included in the 304 genes mentioned above from Bustamante et al.’s study? Explain your reasoning. (2 marks)
 
d) Which of the two genes, if any, is more interesting from the perspective of adaptation? (2 marks)

A cart attached to a spring is displaced from equilibrium and then released. There is no friction. A graph of velocity as a function of time is shown in the figure. The arrow and sign above indicate the positive and negative direction for the position of the cart.

What is the period of motion of this cart?