# Describe how the concepts from limits, continuity of functions, an intermediate value of Theorem, and vertical asymptotes can be applied in this scenario.

This assignment is for Calculus I.Please review the below requirements and the attached graph for scenario#.CALCULUS I – ASSIGNMENT REQUIREMENTS:Scenario#1 (2 Pages, 1 APA citation)A curvewith equation y=−(x−1)^2 + 4 andsome rectangles shaded underneath. (Supposewe want to estimate the area under the curve y=−(x−1)^2+ 4 on a certain interval using the rectangles provided.Choose your own intervalbased on scenario #1 above and address the following:MUST RESPOND TO EACH POINT SEPARATELY1. Describehow the concepts from limits, continuity of functions, an intermediate value of Theorem, and vertical asymptotes can be applied in this scenario.2. Estimatethe area under the curve y=−(x−1)^2+4on the intervalfrom x=0 to x=3 using the rectangles provided (see attached graph).3. Provideanother example of a scenario that involves the same concept.
Scenario#2 (2 Pages, 1 APA citation)Avehicle is driving along a road. Its position function is given by a functions(t), where s is measured in feet and t is measured in seconds. Createyour own function based on scenario#2 and address the following:MUST RESPOND TO EACH POINT SEPARATELY1.Draw a graph or figure to represent this situation.2.Describe how the concepts “Derivative of a function at a point using limits, the slope of a tangent line, piecewise function, and higher-order derivative of a function” can be applied in scenario#2.3.Find the instantaneous velocity of the vehicleat seconds.4.Provide another example of a scenario that involves the sameconcept.