Yangtze river food web

1.the ability to perceive emotions in oneself and others accurately.2.the ability to use emotions to facilitate thinking.3.the ability to understand emotions, emotional language, and the signals conveyed by emotions.4.the ability to manage emotions so as to attain specific goals.

Good morning! i got on

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.

Find  the  area  of the  region bounded  by the  curves y equals  the  inverse sine  of  x divided  by 4,  y  =  0, andx  = 4  obtained  by  integrating  with  respect  to  y.  your work must include  the  definite integral  and theantiderivative.