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1 Assigmet Previewer of // : PM Practice Eam () Questio Descriptio Eam over chapter.. Questio DetailsLarCalc... [] Fid the geeral solutio of the differetial equatio ad check the result by differetiatio. (Use C for the costat of itegratio.) dy / y dy / y / Check: d / /. Questio DetailsLarCalc... [] Complete the table. (Use C for the costat of itegratio.) Origial Itegral Rewrite Itegrate Simplify / / / Origial Itegral Rewrite Itegrate Simplify / / / /. Questio DetailsLarCalc... [] Complete the table. (Use C for the costat of itegratio.) Origial Itegral Rewrite Itegrate Simplify ( + ) + Origial Itegral Rewrite Itegrate Simplify ( + ). Questio DetailsLarCalc... [] Fid the idefiite itegral ad check the result by differetiatio. (Use C for the costat of itegratio.) / + + / + + / + + d Check: / + + / + +. Questio DetailsLarCalc... [] Use a symbolic itegratio utility to fid the idefiite itegral. (Use C for the costat of itegratio.) ( + t)t dt ( + t)t dt t + t t dt + t Check: d t + t t + t ( + t)t dt. Questio DetailsLarCalc...MI. [] Solve the differetial equatio. f '(), f()

2 Assigmet Previewer of // : PM f() Tutorial f'(), f() f() f() () C f() +. Questio DetailsLarCalc...MI. [] Solve the differetial equatio. f '(s) s s, f() f(s) Tutorial f '(s) s s, f() f(s) s s ds s s f() () () C f(s) s s +. Questio DetailsLarCalc... [] O the moo, the acceleratio due to gravity is -. meters per secod per secod. A stoe is dropped from a cliff o the moo ad hits the surface of the moo secods later. How far did it fall? (Roud your aswer to oe decimal place.). m What was its velocity at impact? (Roud your aswer to oe decimal place.) a. -. m/sec v(t). dt.t + v.t, because the stoe was dropped, v. s(t) (.t) dt.t + s s().() + s s. So, the height of the cliff is. meters. v(t).t v() -. m/sec. Questio DetailsLarCalc...MI. [] Fid the sum. Use the summatio capabilities of a graphig utility to verify your result. (i + ) i Tutorial (i + ) i + ( ) + i i i. Questio DetailsLarCalc... [] Use sigma otatio to write the sum () () () () i i i. Questio DetailsLarCalc...MI. [] Use the summatio capabilities of a graphig utility to evaluate the sum. The use the properties of summatio ad Theorem. to verify the sum. (i + ) i Tutorial (i ( + )(() + ) + ) + () i ()() +. Questio DetailsLarCalc...MI. [] Use left ad right edpoits ad the give umber of rectagles to fid two approimatios of the area of the regio betwee the graph of the fuctio ad the -ais over the give iterval. f() +, [, ], rectagles < Area < Tutorial

3 Assigmet Previewer of // : PM Left edpoits: Area Right edpoits: Area < Area <. Questio DetailsLarCalc... [] Fid the it of s() as. s() ( + ) / ( + ) () +. Questio DetailsLarCalc...MI. [] Fid a formula for the sum of terms. Use the formula to fid the it as i i Tutorial. i + i i ( + ) i +. Questio DetailsLarCalc...MI. [] Fid a formula for the sum of terms. Use the formula to fid the it as. i + i Tutorial i + i ( + i) i + i + i + i i + ( + ) ( + )( + ) + + ( + ) Questio DetailsLarCalc...MI. [] Evaluate the defiite itegral by the it defiitio. Tutorial

4 Assigmet Previewer of // : PM y o [, ]. Note: f(c ) f + i ( ), as i i + i i + i i + i i + + i i i i i i. Questio DetailsLarCalc... [] Write the it as a defiite itegral o the iterval [a, b], where c i is ay poit i the i th subiterval. Limit Iterval - (c i + ) i i [, ] (c i + ) i ( + ) o the iterval [, ]. i. Questio DetailsLarCalc... [] Write the it as a defiite itegral o the iterval [a, b], where c i is ay poit i the i th subiterval. Limit Iterval i c i i [, ] i o the iterval [, ]. c i i. Questio DetailsLarCalc... [] Evaluate the itegral usig the followig values.,,,,. Questio DetailsLarCalc...MI. [] Evaluate the itegral usig the followig values.,, + Tutorial,, + + () () + (). Questio DetailsLarCalc... [] Evaluate the defiite itegral of the algebraic fuctio. Use a graphig utility to verify your result.

5 Assigmet Previewer of // : PM ( v + ) dv -/ ( v + ) dv v + v + +. Questio DetailsLarCalc...MI. [] Evaluate the defiite itegral of the algebraic fuctio. Use a graphig utility to verify your result. -/ Tutorial ( ). Questio DetailsLarCalc... [] Evaluate the defiite itegral of the algebraic fuctio. Use a graphig utility to verify your results. / () /. Questio DetailsLarCalc... [] Evaluate the defiite itegral of the trigoometric fuctio. Use a graphig utility to verify your result. π/ (sec()) π/ π/ (sec()) π/ π/ ta() π/. Questio DetailsLarCalc... [] Fid the area of the regio bouded by the graphs of the equatios. y +,,, y Because y > o [, ], Area + / + / + ().. Questio DetailsLarCalc... [] Fid the value(s) of c guarateed by the Mea Value Theorem for Itegrals for the fuctio over the give iterval. (Roud your aswer to four decimal places. Eter your aswers as a comma-separated list.) f(), [, ] c. / ( ) f(c)( ) f(c) c c.. Questio DetailsLarCalc...MI. [] Fid the average value of the fuctio over the give iterval ad all values of i the iterval for which the fuctio equals its average value. (Roud your aswer to three decimal places.) f(), [, ] (, y) Tutorial ( ) [( ) ( ( ))]

6 Assigmet Previewer of // : PM Average value Usig a graphig utility,. (, y) (., ). Questio DetailsLarCalc... [] Fid F as a fuctio of ad evaluate it at, ad. F() (t + t ) dt F() F() F(). F(). F() t dt t + t + t t + ( + ) + F() + Note: F() t + t dt F() +. F() +.. Questio DetailsLarCalc... [] Fid F'(). + F() (t + ) dt F'() + F() (t + ) dt t + + t ( + ) + ( + ) + + F'(). Questio DetailsLarCalc... [] Complete the table by idetifyig u ad du for the itegral. f g() g'() u g() du g'() (ta()) (sec()) u du f g() g'() u g() du g'() (ta()) (sec()) ta() (sec()). Questio DetailsLarCalc... [] Fid the idefiite itegral ad check the result by differetiatio. ( ) ()

7 Assigmet Previewer of // : PM ( ) ( ) () Check: d () ( ) () ( ) ( ). Questio DetailsLarCalc... [] Fid the idefiite itegral ad check the result by differetiatio. u u + du u u du + (u + ) / (u (u + ) / (u + ) / ) du / Check: d (u + ) / (u ) (u + ) / (u ) du (u + ) /. Questio DetailsLarCalc... [] Fid the idefiite itegral ad check the result by differetiatio. ( ) / ( ) / ( ) / Check: ( ) / ( ) / d ( ). Questio DetailsLarCalc... [] Solve the differetial equatio. dy + y + ( + ) / ( ) ( + ) / + /. Questio DetailsLarCalc... [] Fid the idefiite itegral. ta() (sec()) ta() (sec()) (ta()) / (ta()) / /. Questio DetailsLarCalc... [] Fid the idefiite itegral by the method show i Eample. +

8 Assigmet Previewer of // : PM u +, u, du + (u ) u du u / u / du u / u / u / (u ) ( + ) / ( + ) ( + ) / ( ). Questio DetailsLarCalc... [] Evaluate the itegral usig the properties of eve ad odd fuctios as a aid. ( + ) f() ( + ) is odd. ( + ). Questio DetailsLarCalc...MI. [] Use the Trapezoidal Rule ad Simpso's Rule to approimate the value of the defiite itegral for the give value of. Roud your aswers to four decimal places ad compare the results with the eact value of the defiite itegral., Trapezoidal. Simpso's. Tutorial eact. Trapezoidal: (). Simpso's: (). Eact:.. Questio DetailsLarCalc... [] Use the Trapezoidal Rule ad Simpso's Rule to approimate the value of the defiite itegral for the give value of. Roud your aswer to four decimal places ad compare the results with the eact value of the defiite itegral., Trapezoidal. Simpso's. eact. Trapezoidal: (). Simpso's: (). Eact:.. Questio DetailsLarCalc... [] Use the Trapezoidal Rule ad Simpso's Rule to approimate the value of the defiite itegral for the give value of. Roud your aswer to four decimal places ad compare the results with the eact value of the defiite itegral. ( ), Trapezoidal -. Simpso's -. eact -. Trapezoidal: + + ( ) + + ( ( ) + ) + ( ). Simpso's: ( + + ( ) + + ( ) + ) + ( ). Eact: ( ) +.. Questio DetailsLarCalc... [] Use the Trapezoidal Rule ad Simpso's Rule to approimate the value of the defiite itegral for the give value of. Roud your aswer to four decimal places ad compare the results with the eact value of the defiite itegral. +,

9 Assigmet Previewer of // : PM Trapezoidal. Simpso's. eact. Trapezoidal: ( ) Simpso's: ( ) Eact: / + + () / () /. Assigmet Details Name (AID): Practice Eam () Submissios Allowed: Category: Eam Code: Locked: No Author: Dows, Jeff ( ) Last Saved: Nov, : PM PDT Permissio: Protected Radomizatio: Perso Which graded: Last Feedback Settigs Before due date Questio Score Assigmet Score Questio Part Score Mark Respose Save Work After due date Questio Score Assigmet Score Publish Essay Scores Key Questio Part Score Solutio Mark Add Practice Butto Help/Hits Respose

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