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hi can you please help me answer questions from 7-11 with a thorough explanation T. Differentiate the following with respect to it. a} y=e3 (413+5x-4)

hi can you please help me answer questions from 7-11 with a thorough explanation

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T. Differentiate the following with respect to it. a} y=e3" (413+5x-4) b} it} = In 2K.5il'13{)(2 3i 3. A ounre has an equation given by x1 2mg + a: = 6. d a} Obtain an expression for i in terms of It and a. b} What is the grodient of the curve at {2, 3}? 9. Determine the location of the vertex and determine the nature of the vertex fer the graphs of: H5? EFF\" y= x36x215x+? 10. A body moves in a straight line and its displacement, s cm , from a fixed point P after a time , t, is given by the formula s = t - 3t. After t = 2 seconds, find its: = 21 = +3: a) Displacement from P. b) Velocity c) Acceleration11. Air is pumped into a spherical balloon such that the surface area of the balloon increases at a rate of 10 cm per second. Find the rate at which the radius is increasing when the radius is 4 cm. [i.e. find when r = 4] [Note : surface area, A = 4mr2 ]

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