Question: Skip to Main contentQuestion 1Question 2Question 3Question 4Question content area topPart 1Itis estimated that t days after a virus begins to spread in a town,

Skip to Main contentQuestion 1Question 2Question 3Question 4Question content area topPart 1Itis estimated that t days after a virus begins to spread in a town, the percent of the population infected by the virus is approximated byp left parenthesis t right parenthesis equals t squared plus 4t for 0 less than or equals t less than or equals 5.a. Find the average rate of change ofp with respect tot over the interval 1to4 days.b. Find and interpret the instantaneous rate of change ofp with respect totat tequals2.Question content area bottomPart 1a. Which of the following is the correct expression for the average rate of change over the interval 1to4 days?A.StartFraction p left parenthesis 4 right parenthesis Over 4 EndFraction minus StartFraction p left parenthesis 1 right parenthesis Over 1 EndFractionStartFraction p left parenthesis 4 right parenthesis Over 4 EndFraction minus StartFraction p left parenthesis 1 right parenthesis Over 1 EndFractionB.StartFraction p left parenthesis 1 right parenthesis minus p left parenthesis 4 right parenthesis Over 4 EndFractionStartFraction p left parenthesis 1 right parenthesis minus p left parenthesis 4 right parenthesis Over 4 EndFractionC.StartFraction p left parenthesis 4 right parenthesis minus p left parenthesis 1 right parenthesis Over 4 minus 1 EndFractionStartFraction p left parenthesis 4 right parenthesis minus p left parenthesis 1 right parenthesis Over 4 minus 1 EndFractionD.StartFraction p left parenthesis 1 right parenthesis minus p left parenthesis 4 right parenthesis Over 4 minus 1 EndFractionStartFraction p left parenthesis 1 right parenthesis minus p left parenthesis 4 right parenthesis Over 4 minus 1 EndFractionPart 2The average rate of change ofp with respect tot over the interval 1to4 days isenter your response here % per day.Part 3b. Which of the following is a correct expression for the instantaneous rate of change at tequals2?A.ModifyingBelow lim With h right arrow 0 StartFraction p left parenthesis 2 plus h right parenthesis minus p left parenthesis 2 minus h right parenthesis Over h EndFractionModifyingBelow lim With h right arrow 0 StartFraction p left parenthesis 2 plus h right parenthesis minus p left parenthesis 2 minus h right parenthesis Over h EndFractionB.ModifyingBelow lim With h right arrow 0 StartFraction p left parenthesis 2 plus h right parenthesis minus p left parenthesis 2 right parenthesis Over h EndFractionModifyingBelow lim With h right arrow 0 StartFraction p left parenthesis 2 plus h right parenthesis minus p left parenthesis 2 right parenthesis Over h EndFractionC.ModifyingBelow lim With h right arrow 0 StartFraction p left parenthesis 2 plus h right parenthesis minus p left parenthesis h right parenthesis Over 2 EndFractionModifyingBelow lim With h right arrow 0 StartFraction p left parenthesis 2 plus h right parenthesis minus p left parenthesis h right parenthesis Over 2 EndFractionD.ModifyingBelow lim With

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