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- Find the work done in emptying the tank in example 4. If the tank water is pumped to a level 1.00 meters above the top of the tank and the water is initially 4.00 meters deep.The tangent line to y= f(x) at (-7, -6) passes through the point (-9, -2). Compute the following. a) f(-7) b) f'(-7)What are the critical points of sin(x2-1), at the closed interval [-1,1]?
- It works using the second derivative [ osxs] 1. Find the maximum and minimum limits of the function for the period | f (x)=x-4sin2x+2Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as x--> 0 b. f--> -1 as x-->0 c. f-->1 as x-->0 d. f--> 0 as x-->0 e. f--> -infinity as x-->0Find the linearization of ƒ(x) = sqrt(x + 1) + sin x at x = 0. How is it related to the individual linearizations of sqrt(x + 1) and sin x at x = 0?