based on the pattern of trade in the third paragraph, the Egyptian karim merchants were most likely directly involved in which of the following broader developments in the indian ocean in the period circa 1200-1450

This metaphor uses symbolism when describing the “arch” of ulysses life. he is trapped in a time of life where adventure is moving as he tries to proceed to it. he will never reach it and will learn to accept it. ulysses symbolizes that arch in life, that no one can reach every goal, or every sight in life. even though this personality of curiosity and purposefulness exist in all mankind, the purpose of showing his strive to succeed symbolizes great leaders today. his curiosity represents the curiosity of humans that everyone desires to find answers and wont give up without a fight. ulysses is a symbol of the human race.

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.