Modify lab04ex2.m so that it solves (l4.7) using euler’s method with n = 1000 in the interval 0 ≤ t ≤ 50 (use the file euler. m from lab 3 to implement euler’s method; do not delete the lines that implement ode45). let [te, ye] be the output of euler, and note that ye is a matrix with two columns from which the euler’s approximation to y(t) must be extracted. plot the approximation to the solution y(t) computed by ode45 (in black) and the approximation computed by euler (in red) in the same window (you do not need to plot v(t) nor the phase plot). are the solutions identical? comment. what happens if we increase the value of n?

Kayla has a $500 budget for the school party.she paid $150 for the decorations.food will cost $5.50 per student. what inequality represents the number of students,s, that can attend the party?

Marcus and cody both leave the park at the same time, but in opposite directions. if cody travels 6 mph faster than marcus and after 4 hours they are 64 miles apart, how fast is each traveling? solve using rare times time = distance.

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel