If anyone can help, please do so and provide full solutions. I really would appreciate it thank you!

1. Using Desmosr'Excel or other graphing softvurare sketch the graph of at) = sinfzx). a. Using tangents set up a table of values for -3ru'4 -n.|'2 -n!4 2n h. Plot the points and find a function that will join the points to form a continuous curve. c. What is the equation for the derivative of fr'x) = sfnf2x) ? 2. Using Desmosr'Excel or other graphing software sketch the graph of at) = 4" a. Using tangents set up a table of values for b. Plot the points and find a function that will join the points to form a continuous cunre. c. What is the equation for the derivative of fr'x) : 4" 3. Find the derivative of the following functions using the "definition of the derivative" proof with the expression lim f(xth) - f(x) h->0 h Show all your steps. a. f (x) =x2 + 3: b. f (2 ) = 25 4. State the derivative of the following functions. a) f(x) = 10* b) f(x) = e2x c) f(x) = cos x d) f(x) = -sin(3x) 5. A radioactive isotope has a half life of 30 years. The initial amount is 10 mg. a. Find an expression for the amount of the isotope that is still active using time t measured in years. b. How much of the isotope do we have in 65 years from now? c. Show a graph of the quantity of isotope over 100 years