Problem # 5e Is the function 0, x2, -2x² + 6x + 3, 1< ¢< 2; (x – 3)², 0, x < 0; 0 3 a spline function? Why/why not?
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- 2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step function: u( x ) = 1 if x 20 0 if x<0 VA 1 y = u(x) (a) Write a piecewise formula for the function g. (b) Sketch a graph of y = g(x). (c) Indicate the domain and range of the function g. XProblem 1 Find conditional extremes of the function f(x, y)=x^{4}+y^{4} provided that g(x, y)=x^{2}*y^{2}-1=0.Assignment 10: Problem 3 Find the critical point of the function f(x,y)=3ex−5xey