Problem 10: (a) Use Euler’s method to obtain a four-decimal approximation of the indicated value. Carry out the recursion by hand, using h=0.05. y' = 2 xy , y(0) = 1 ; y(0.10) (b) Solve the IVP: y' = 2 xy , y(0) = 1 (c) Determine the percent relative error of the approximate value of y(0.10) in Problem 12 given the solution you found in Problem 13.

If you roll two fair dice (one black die and one white die), in how many ways can you obtain a 4 on at least one die?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

Ametal rod is 2/5 meters long. it will be cut into pieces that are each 1/30 meters long. how many pieces will be made from the rod?