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(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill Increasing when the radius is 28 m? m 2/ s The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 15 cm and the width is 13 cm, how fast is the area of the rectangle increasing? em2/s Need Help? Watch It Master - I VIVI JIZ.UVS. MY NOTES ASK YOUR Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square increasing when the area of the square is 81 cm?? cm-/s The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm? mm 3/ s Differentiate the function. f(x) = sin(3 In(x)) f ' ( x ) = If y = 2x3 + 5x and dt = 2 find when x - 4. dy _ dt Find the linearization L(x) of the function at a. f(x) = sin(x), a = 3 L(x) = Find the differential of each function. (a) y = tan( v 7t) dy - 7 sec(71 2V 71 dt (b ) y = 1 + 2 dy