Section 14.7: Problem 7 (1 point) Find two numbers a and b with a S b such that b 1/3 / (10+3x x2) dx a has its largest value. a = 555 Q\" N u. E}: Section 14.7: Problem 8 (1 point) The discriminant fxx fyy f3}, is zero at the origin for each of the following functions, so the Second Derivative Test fails there. Determine whether the function has a maximum, a minimum, or neither at the origin by imagining what the surface 7. = f (x, y) looks like. Be sure that you can explain your reasoning! f(x, y) = x4)!\" a local maximum f(x,y)=1-x4y\" a local minimum The critical 90""t at the "i9i\" i-I neither a local maximum nor a local minimum f(x, y) = xy4 The critical point at the origin is: ? , , 7 1 f(x, y) = x3y4 The critical point at the origin is: ? 1 f(x, y) = x3y3 The critical point at the origin is: ? 1 f (x, y) = \"y6 The critical point at the origin is: ? 1