At the beginning of the 1850s, despite sectional friction, no one thought the United States would be engaged in a civil war between the North and the South by the end of the decade. What events in the 1850s made southern secession and civil war more likely? Which may have constituted a “tipping point” after which secession and war were difficult, if not impossible, to avoid? Please respond in an answer befitting an AP student.

It's more opinion based, so it really depends on your personal views of the topic of religion, there is no wrong answer, with the exception of irrelevant answers.hope that .

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.