Find the general solution. If an initial condition is given, find also the corresponding particular solution and graph or sketch it. (Show the details of your work.) \(y^{\prime}=2 y-4 x\)

Physics with MasteringPhysics 4
Problem 11P IP Three 6.75-kg masses are at the corners of an equilateral triangle and located in space far from any other masses. (a) If the sides of the triangle are 1.25 m long, find the magnitude of the net force exerted on each of the three masses. (b) How does your answer to part (a) change if t

Fundamentals of Statistics 4
Credit Cards According to creditcard.com, \(29 \%\) of adults do not own a credit card. (a) Suppose a random sample of 500 adults is asked,"Do you own a credit card?" Describe the sampling distribution of \(\hat{p}\), the proportion of adults who own a credit card. (b) What is the probability

Physics 4
Before practicing his routine on the rings, a 67-kg gymnast stands motionless, with one hand grasping each ring and his feet touching the ground. Both arms slope upward at an angle of 24 above the horizontal. (a) If the force exerted by the rings on each arm has a magnitude of 290 N, and is directed

Mathematical Statistics and Data Analysis 3
Hampson and Walker also made measurements of the heats of sublimation of rhodium and iridium. Do the following calculations for each of the two given sets of data: a. Make a histogram. b. Make a stem-and-leaf plot. c. Make a boxplot. d. Plot the observations in the order of the experi

Organic Chemistry 9
(a) How many asymmetric carbon atoms are there in an aldotetrose? Draw all the aldotetrose stereoisomers. (b) How many asymmetric carbons are there in a ketotetrose? Draw all the ketotetrose stereoisomers. (c) How many asymmetric carbons and stereoisomers are there for an aldohexose? For a ketohexose

Human Anatomy & Physiology 9
The shaft of a long bone is properly called the (a) epiphysis, (b) periosteum, (c) diaphysis, (d) compact bone.

Essentials of Statistics for the Behavioral Sciences 10
Anderson (1999) was interested in the effects of attention load on reaction time. Participants in her study received a dual-task procedure in which they needed to respond as quickly as possible to a stimulus while simultaneously paying attention to the sounds of spoken words. She recorded reaction ti

Psychology 5
According to Kohlberg, each stage in the development of moral reasoning is characterized by a specific focus. What is the correct sequence of these stages? a. focus on consequences, focus on ethical principles, focus on social rules b. focus on ethical principles, focus on social rules, focus on con