Let y=tan(4x+4)y=tan(4x+4). Find the differential dy when x=3x=3 and dx=0.3

[1 point) Find the absolute maximum and absolute minimum values of the function x) 2 m3 62:2 63:: + 4 over each of the indicated intervals. (a) Interval = [4, 0]. 1. Absolute maximum: 2. Absolute minimum = (b) Interval = [1,8]. 1. Absolute maximum= 2. Absolute minimum = (c) Interval = [4, 8]. 1 . Absolute maximum= 2. Absolute minimum = (1 point)Acertain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $30 per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your prot per sphere? T: ft. Note 1: the formulas for the volume and surface area of a sphere of radius 7' are V = $13 and A = 4m"2 respectively. Note 2: on a real exam you would be expected tojustify that the answer above is actually a maximum, rather than, say a minimum