In the following problem, determine an approximate value of the solution at t=0.4 and t=0.5 using the specified method. For starting, values use the values given by the RungeKutta method. Compare the results of the various methods with each other and with the actual solution (if available).

Use the fourth order Adams-Moulton method with h=0.1.

$$y^{\prime}=\frac{y^2+2 t y}{3+t^2}, \quad y(0)=0.5$$

Convert 2017 to a numeral in the base indicated. 7

The half-life of a substance is the amount of time it takes for half of the amount of substance to decay. The half-life of a pesticide is 15 years. Initially there are 200 grams of the pesticide. Can this situation be modeled by a linear function or an exponential function? After how many years will there be 50 grams of the pesticide remaining? Explain.

Graph the solution set to the system of inequalities. Use the graph to identify one solution.

$$\begin{array}{c} \text{\hspace{10pt}y $\geq$ $-$x}\\ \text{y > x}\\ \end{array}$$

Sketch the graphs of $y=2 x^{2}+4 x-5$ and $y=x^{2}+2 x-3.$ Change these equations into inequalities so the system has solutions that comprise: one bounded region

Suppose that two defective refrigerators have been included in a shipment of six refrigerators. The buyer begins to test the six refrigerators one at a time. What is the probability that no more than four refrigerators need to be tested to locate both of the defective refrigerators?

Find all of the abelian groups of order 200 up to isomorphism.

Graph the function. State the domain and range.

$$y=5 \cdot 3^{x-2}$$

Sketch a graph to illustrate that a system of three linear equations with two variables can have exactly one solution.

Find the range of each function when the domain is $\{-4,0,1,5\}$. $w=5-3 z$

In ferromagnetic materials, groups of atoms with the same magnetic alignment create____________________

Translate to a system of equations and solve.

The sum of two numbers is $27$. One number is $3$ more than the other. Find the numbers.

Punishable offense against society

Convert: a. 6 kg to pounds and ounces b. 5 pounds 4 ounces to kilograms.