#1. Find the local linearization L(x) of the given function at the specied input value. a. f(x)=x4+3x2 at a: 1. b. f(x) :9\" at (1:16. #2. Find the local linearization of g(x) = f/m at a = 0 and use it to approximate the numbers 3/(795 and m . Illustrate by sketching the graph of g and its tangent line and labelling the appropriate points/y-values. #3. Use linear approximation to estimate the number (1.999)4. #4. Use linear approximation to estimate the number e'0'015. #5. Use linear approximation to estimate the number 1/4002. #6. Use linear approximation to to estimate the number V993. #7. Suppose we don't have a formula for the function g but we know that g(2) = 4 and g'(x) = \\fo + 5 . Use linear approximation to estimate g(1.95) and g(2.05)