Numerical Methods

Problem Produce a report that contains written descriptions, analysis and mathematics that shows how calculus can be used to solve an engineering problem. The tasks are to: Use thinking methods to analyse the given engineering problem, e.g. break the problem down into a series of manageable elements, and produce a specification • Prepare a valid proposal for solving the problem and present it • Produce mathematical models for the identified elements of the problem • Apply calculus methods to produce answers for each of the elements • Bring the elements together in a formal presentation

To solve the ordinary differential equation. 3 \frac{d y}{d x}+x y^{2}=\sin (x), y(0)=5

14) A community college student interviews everyone in a statistics class to determine the percentage of students that own a car.

25) 2-POINT QUESTION. Test scores for a history class had a mean of 79 with a standard deviation of 4.5. Test scores for a physics class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets a 76 on the history test and a 100 on the physics test. a) Calculate the z-score for each test. Use the symbols Zh for the history test and Zp for the physics test. Show your work. b) On which test did the student perform better? Explain your reason.

Determine whether the data are qualitative or quantitative. 4) the number of seats in a movie theater

Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 15) Phone Calls (per day)

In order to make a pumpkin pie I need 5 pumpkins.If p is the number of pies I want to make and P(p)is the number of pumpkins I need. A reasonable function for this is a. P(p) =10pb. P(p)=5p+1c. P(p) =6pd. P(p)=5p

Find the transform. Show the details of your work. Assume that a, b, w, 0 are constants. \text { 7. } \sin (\omega t+\theta)

74. Suppose your car averages 38 miles per gallon on the highway if your average speed is 55 miles per hour, and it averages 32 miles per gallon on the highway if your average speed is 70 miles per hour. a. What is the driving time for a 2000-mile trip if you drive at an average speed of 55 miles per hour? 'What is the driving time at 70 miles per hour? b. Assume a gasoline price of $2.55 per gallon. What is the gasoline cost for a 2000-mile trip if you drive at an average speed of 55 miles per hour? What is the gasoline cost at 70 miles per hour?

An internet research company surveyed 85 online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that none of the three shoppers purchased electronics?