First make a substitution and then use integration by parts to evaluate the integral. \(\int t^{3} e^{-t^{2}} d t\)

Introductory Chemistry 5
An iron nail with a mass of 12 g absorbs 15 J of heat. If the nail was initially at \(28\ ^{\circ}\mathrm{C}\), what is its final temperature? Equation Transcription: Text Transcription: 28 deg C

Introductory Chemistry 5
Write a balanced chemical equation for the photosynthesis reaction in which gaseous carbon dioxide and liquid water react in the presence of chlorophyll to produce aqueous glucose (\(C_{6} H_{12} O_{6}\)) and oxygen gas.

Physics: Principles with Applications 6
(II) A 330-kg piano slides 3.6 m down a 28 incline and is kept from accelerating by a man who is pushing back on it parallel to the incline (Fig. 6-36). The effective coefficient of kinetic friction is 0.40. Calculate: (a) the force exerted by the man, (b) the work done by the man on the piano, (c) t

Quantitative Chemical Analysis 8
Consider a mixture of the two solids, BaCl2 2H2O (FM 244.26) and KCl (FM 74.551), in an unknown ratio. (The notation BaCl2  2H2O means that a crystal is formed with two water molecules for each BaCl2.) When the unknown is heated to 160C for 1 h, the water of crystallization is driven off: A sample

Sport Psychology: Concepts and Applications 7
Discuss antecedents and outcomes of goal orientation. How can you utilize this information to help you understand your athletes (students) better and to get the most from them in terms of motivation? Does it really matter if your athletes are task or ego goal oriented? Explain.

Advanced Engineering Mathematics 10
State the Laplace transforms of a few simple functions from memory.

Chemistry for today : general, organic, and biochemistry 9
Classify the following processes according to their rates as very slow, slow, or fast: a. The souring of milk stored in a refrigerator b. The cooking of an egg in boiling water c. The rusting of a shovel left in the garden over the winter d. The growing of corn during a warm summer e. The burning of

Biochemistry 9
The fidelity of protein synthesis is assured twice during protein synthesis. How and when?