Prove that 1(1!) + 2(2!) + + n(n!) = (n + 1)! 1 for every positive integer n

Mathematical Statistics with Applications 7
The joint distribution of amount of pollutant emitted from a smokestack without a cleaning device \(\left(Y_{1}\right)\) and a similar smokestack with a cleaning device \(\left(Y_{2}\right)\) was given in Exercise 5.10 to be \(f\left(y_{1}, y_{2}\right)=\left\{\begin{array}{ll} 1, & 0 \leq y_{1} \l

Principles of General Chemistry 2
How many grams of solid barium sulfate form when 35.0 mL of 0.160 M barium chloride reacts with 58.0 mL of 0.065 M sodium sulfate? Aqueous sodium chloride forms also.

Physics: Principles with Applications 6
Problem 17P A sprinter accelerates from rest to 10.0 m/s in 1.35 s. What is her acceleration (a) in m/s2, and (b) in km/h2?

Biology 8
In mice, black color (8) is dominant to white (b). At a different locus, a dominant allele (A) produces a band of yellow just below the tip of each hair in mice with black fur. This gives a frosted appearance known as agouti. Expression ofthe recessive allele (a) results in a solid coat color. Ifmice

Essentials of Human Anatomy & Physiology 11
Is a bald man really hairless? Explain.

Glencoe Accounting: First Year Course, Student Edition 1
Completing a Worksheet and Financial Statements The trial balance for Cycle Tech Bicycles, prepared on a ten-column work sheet, is included in your working papers. Instructions 1. Complete the work sheet for the year ended December 31. Use the following information to make the adjustments.

Hole's Human Anatomy & Physiology 14
Distinguish between the axial and appendicular skeletons.

Biology for AP Courses
Which of the following statements is part of the cell theory? a. All living organisms are made of cells. b. All cells contain DNA that they pass on to daughter cells. c. All cells depend on their surroundings to provide energy. d. All cells have a nucleus.