Consider the vector field f=(x2+y2,4xy). compute the line integrals ∫c1f⋅ds and ∫c2f⋅ds, where c1(t)=(t, t2) and c2(t)=(t, t) for 0≤t≤1. can you decide from your answers whether or not f is a gradient vector field? why or why not?

Assume that a population of 50 individuals has the following numbers of genotypes for a gene with two alleles, b and b: bb = 30, bb = 10, and bb = 10. calculate the frequencies of the two alleles in the population’s gene pool.

The marriott family bought a new apartment three years ago for $65,000. the apartment is now worth $86,515. assuming a steady rate of growth, what was the yearly rate of appreciation? what is the percent of the yearly rate of appreciation?

What is the location of point g, which partitions the directed line segment from d to f into a 5: 4 ratio? –1 0 2 3