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Which of the given statements is correct? ()Any function g that is defined and continuous on an open interval(a, b) must have an absolute minimum. If a function g has a local extreme value at a, then a is a critical point or singular point. () If a function g fails to be differentiable at a, then it cannot have a local extreme value at a. O Any function g that is defined on an open interval (a, b) must have an absolute maximum. () If a function g has g' (c) . g"(c) - 0. then (c, g(c) ) is a local extreme value.A light is mounted on a wall 7 feet above the ground. A 3 feet tall girl is initially 30 feet from the wall and is moving away from the wall at a rate of 2 feet/sec. After 4 seconds of moving. what is true about her shadow? ()The tip of her shadow is moving away from her at a rate of 1.5 feet/sec and towards the wall at a rate of 3.5 feet/sec. ()The tip of her shadow is moving towards her at a rate of 1.5 feet/sec and towards the wall at a rate of 3.5 feet/sec. The tip of her shadow is moving towards her at a rate of 1.5 feet/sec and away from the wall at a rate of 3.5 feet/sec. The tip of her shadow is moving away from her at a rate of 3.5 feet/sec and away from the wall at a rate of 1.5 feet/sec. The tip of her shadow is moving away from her at a rate of 1.5 feet/sec and away from the wall at a rate of 3.5 feet/sec