Test2Spr2010 - f ( x ) = x 2 + x 3 over the interval [0,1]...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Name MAC 3473, Honors Calculus 1 Keesling Test 2 3/3/2010 Do all problems. Show your work and explain your answers. Each problem is 20 points. 1. Solve the following differential equation using power series. Solve for the first six coefficients, { a 0 , a 1 , a 2 , a 3 , a 4 , a 5 } , assuming y = a n x n n = 0 ! " . ! y = y + x 4 y (0) = 2 2. Determine the differential equation for the motion of a mass attached to an elastic spring. m k = spring constant
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3. What is the total force on a dam with the dimensions given in the diagram below. Assume that the water level is at the top of the dam. 4. Determine the centroid of the area under the following curve:
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f ( x ) = x 2 + x 3 over the interval [0,1] . 200 feet 100 feet 5. Determine the following integral using Romberg Integration. cos x 2 1 ! dx . Use the program that that you entered onto your TI-89. Use n = 5 . This will give up to 2 5 = 32 subdivisions of the interval. Circle the best answer and indicate the number of digits that are correct. Give four digits except for the fifth and sixth columns. In those give at least ten digits. First Column Second Third Fourth Fifth Sixth T 1 = T 2 = T 4 = T 8 = T 16 = T 32 =...
View Full Document

Page1 / 3

Test2Spr2010 - f ( x ) = x 2 + x 3 over the interval [0,1]...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online