Lemma

Calculus · Chapter 11 of 16

Applications of integrals

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Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#TitleDifficulty
134110… (around the … axis)Deep
134112… (around the … axis)Deep
134114… (around the … axis)Deep
134116The region between … and … is revolved around the … axisDeep
134120An upright cylinder of radius … is sliced by two parallel planes…Deep
134149(a) Find the length of …, …,Deep
134151The area of an ellipse isDeep
134152The point …, …, … moves on a space curveDeep
134154Write down the integral for the length … of … from …Deep
134155(for professors) Compare the lengths of the parabola … and the line…Deep
134175Compute the area of that lamp shadeDeep
134176Explain why the surface area is infinite when … is rotated around…Deep
134178A watermelon (maybe a football) is the result of rotating half of…Deep
134179Estimate the surface area of an eggDeep
134240By varying the density of the ball how could you make it…Deep
134243What is the theoretical ratio of the four finishing timesDeep
134244True or false: (a) Basketballs roll downhill faster than baseballsDeep
134108… (around the … axis)Deep
134121True or false, with a reasonDeep
134150(important) The line … is close to a staircase of pieces that…Deep
134237A solid cylinder of radius … is assembled from hollow cylinders of…Deep
134241Answer Question 2 about the experimentDeep
134265In relativity the mass isDeep
134269In what ways is work like a definite integral and energy like…Deep
134109… (around either axis)Deep
134111… (around the … axis)Deep
134113… (around the … axis)Deep
134115… (around the … axis)Deep
134117The region between … and … is rotated around the … axisDeep
134118A horizontal slice of the sphere-with-hole in Figure 8.6b is a washerDeep
134119If the hole in the sphere has length 2, show that the…Deep
134153Explain in 50 words the difference between a nonparametric equation … and…Deep
134177A disk of radius … can be covered by four strips of…Deep
134236Questions 35–42 come from the moment of inertia experimentDeep
134238Problem 14.4.40 finds … for a solid ballDeep
134239Problem 14.4.39 finds … ______ for a hollow ballDeep
134242Integrate to findDeep
134266Estimate the depth of the _Titanic_, the pressure at that depth, and…Deep
134267A swimming pool is 4 meters wide, 10 meters long, and 2…Deep
134268If the pool in Problem 23 has a shallow end only one…Deep