A jet\'s altitude [\"\'h\", in meters] can be represented as a function of its h

Question

A jet's altitude ["'h", in meters] can be represented as a function of its horizontal distance ["x', in kilometers). Suppose this function is h = 1.04x4-4.17x3 + 4.1x2-8.3x. Find the instantaneous rate of change of h with respect to x @ x = 10 km. Equal squares of side "x" are to be cut from the corners of a 6 inch by 8 inch rectangular piece of cardboard.T ides are to be bent up and taped together to make an open container. [What is the volume of a box?] of the yolume V of the container with respect to x for x 0.2 inches.

Explanation / Answer

h=1.04x4-4.17x3+4.1x2-8.3x

h' = 1.04(4)x3-4.17(3)x2+4.1(2)x-8.3 = 4.16x3-12.51x2+8.2x -8.3

at x=10

h '= 4.16(10)3-12.51(10)2+8.2(10)-8.3 =2982.7

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