Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 yn + 1 = yn + hf(xn, yn) (3) by hand, first using h = 0.1 and then using h = 0.05. y' = 2x − 3y + 1, y(1) = 9; y(1.2) y(1.2) ≈ (h = 0.1) y(1.2) ≈ (h = 0.05)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Ab and bc are tangent to circle d. find x is ab = 3x + 8 and bc = 26. find x

Determine domain and range, largest open interval, and intervals which function is continuous.