Problem 01: (a) Find the natural domain and range of the following functions. (b) Graph the following functions using the graphing techniques of shifting, compressing, stretching, and/or reflecting. Begin with the graph of a basic function and show all stages. (c) Verify that the following functions f (x) and h(x) are inverse of each other. х3 — 10 f(x) = V2x + 10 g(x) = 2|1 – x| +3 h(x) : 2

Q: 2x y= 5х-3 -------.-.--......--..--.....

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.