Math 171 Calculus– Global Online Fall 2021 Progress Check 1 Covers sections 2.1 – 2.6 and 3.1 – 3.6 Due Sep 26 Read and follow all directions. • All submissions must be hand-written and may not be...

Math 171 Calculus– Global Online Fall 2021 Progress Check 1 Covers sections 2.1 – 2.6 and 3.1 – 3.6 Due Sep 26 Read and follow all directions. • All submissions must be hand-written and may not be typed. • You can use a pencil/paper or tablet/stylus to complete your work. • You may also print the PDF (available below) to work through the problems. • Complete each problem on its own piece of paper. • Scan or use your cell phone to take pictures of your work to submit to CrowdMark. • After you have uploaded your image, click on the magnifying glass to view your image and make sure the following conditions are met: o Image is oriented upright. If it is sideways or upside down, there is an option to rotate it as needed. o Image is clear and readable. If you cannot read it, how can I grade it? Image should be cropped to only include the work you are submitted. Your bed, body, room, drinks, desk, computer, etc. should not be included in the work submitted.


Progress Check 1 Math 171 – Global Online Fall 2021 Progress Check 1 Covers sections 2.1 – 2.6 and 3.1 – 3.6 Due Sep 26 Read and follow all directions. • All submissions must be hand-written and may not be typed. • You can use a pencil/paper or tablet/stylus to complete your work. • You may also print the PDF (available below) to work through the problems. • Complete each problem on its own piece of paper. • Scan or use your cell phone to take pictures of your work to submit to CrowdMark. • After you have uploaded your image, click on the magnifying glass to view your image and make sure the following conditions are met: o Image is oriented upright. If it is sideways or upside down, there is an option to rotate it as needed. o Image is clear and readable. If you cannot read it, how can I grade it? o Image should be cropped to only include the work you are submitted. Your bed, body, room, drinks, desk, computer, etc. should not be included in the work submitted. 1. Evaluate each of the following limits. Simplify all answers completely. Show all work toward your answer or provide an explanation for how you arrived at your answer. An answer with no supporting work will receive 0 points. [10 points] a. lim $→& $'(& $'(*$+, b. lim $→-. / 012($) c. lim $→5 6$'+7$+& √*$9+/ d. lim $→5 :;<(=)>?@ e. lim $→(5 (−3?7 + 5?/ − 4) 2. Find each of the following derivatives. Simplify all answers completely. Show all work toward your answer or provide an explanation for how you arrived at your answer. An answer with no supporting work will receive 0 points. [10 points] a. ?(?) = √?/$ + 8?/?$ b. ?(?) = $LMN($) &+:;<($) c. ℎ(?) = ?($ sin(?) d. ? = sec(?) tan(?) e. ?(?) = (=(&)x/= '(&y =?(& 3. use the following scenario to determine each of the following. simplify all answers completely. show all work or provide an explanation for how you arrived at your answer. an answer with no supporting work will receive 0 points. [10 points] suppose a stone is thrown vertically upward from the edge of a cliff with an initial velocity of 19.6?/?from a height of 24.5?????? above the ground. the height (in meters) of the stone above the ground ? seconds after it is thrown is ?(?) = −4.9?/ + 19.6? + 24.5. a. determine the velocity ? of the stone after ? seconds. b. when does the stone reach its highest point? label units in your answer. c. what is the height of the stone at the highest point? label units in your answer. d. when does the stone strike the ground? label units in your answer. e. with what velocity does the stone strike the ground? label units in your answer. f. on what intervals is the speed increasing? write your answer as an interval. c.="" ℎ(?)="?($" sin(?)="" d.="" =="" sec(?)="" tan(?)="" e.="" (?)="(=(&)X/=" '(&y="?(&" 3.="" use="" the="" following="" scenario="" to="" determine="" each="" of="" the="" following.="" simplify="" all="" answers="" completely.="" show="" all="" work="" or="" provide="" an="" explanation="" for="" how="" you="" arrived="" at="" your="" answer.="" an="" answer="" with="" no="" supporting="" work="" will="" receive="" 0="" points.="" [10="" points]="" suppose="" a="" stone="" is="" thrown="" vertically="" upward="" from="" the="" edge="" of="" a="" cliff="" with="" an="" initial="" velocity="" of="" 19.6="" from="" a="" height="" of="" 24.5="" above="" the="" ground.="" the="" height="" (in="" meters)="" of="" the="" stone="" above="" the="" ground="" seconds="" after="" it="" is="" thrown="" is="" (?)="−4.9?/" +="" 19.6?="" +="" 24.5.="" a.="" determine="" the="" velocity="" of="" the="" stone="" after="" seconds.="" b.="" when="" does="" the="" stone="" reach="" its="" highest="" point?="" label="" units="" in="" your="" answer.="" c.="" what="" is="" the="" height="" of="" the="" stone="" at="" the="" highest="" point?="" label="" units="" in="" your="" answer.="" d.="" when="" does="" the="" stone="" strike="" the="" ground?="" label="" units="" in="" your="" answer.="" e.="" with="" what="" velocity="" does="" the="" stone="" strike="" the="" ground?="" label="" units="" in="" your="" answer.="" f.="" on="" what="" intervals="" is="" the="" speed="" increasing?="" write="" your="" answer="" as="" an="">