Pls help me with 1 to 3 plsIt’s only one problem Its really important for me I will be really appreciated Thumbs up for you 2 The function v(t) = (102t)2 gives the volume (in liters) of a tank of liquid after.it has been draining from a hole at the bottom of the tank for t seconds. Calculate theinstantaneous rate of change of v at time t = 2. Include units in your answer. Then write asentence that explains what this quantity tells you.3 An oil spill in the shape of a circle increases size as oil continues to leak from a tank.The function r(t)=√16t feet gives the radius of the spill after t minutes. Determine theinstantaneous rate of change of r(t) at time t = 4 minutes. Include units in your answer.Then write a sentence that explains what this quantity tells you.If you finish this worksheet early, start thinking about these homework questions:•Evaluate lim-2-by factoring and canceling.Find a value of the constant c so that the function f will be continuous at x = 0, whereif x ≤0C1xf(x) =1+ c(x-2)² if x > 0' Instantaneous Rates of ChangeIn this worksheet, you will use limits to calculate instantaneous rates of change and theninterpret the meanings of those quantities.For a function f(t), the instantaneous rate of change at a given value t = a isf(a+h)-f(a)hlimh-0The units of this rate of change are:units of funits of t-80t 16t21 The height of a ball thrown straight up in the air after t seconds is f(t) =feet. Find the instantaneous rate of change of f at time t = 3. Include units in your answer.Then write a sentence that explains what this quantity tells you.

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2 The function v(t) = (102t)2 gives the volume (in liters) of a tank of liquid after. it has been draining from a hole at the bottom of the tank for t seconds. Calculate the instantaneous rate of change of v at time t = 2. Include units in your answer. Then write a sentence that explains what this quantity tells you.

2 The function v(t) = (102t)2 gives the volume (in liters) of a tank of liquid after. it has been draining from a hole at the bottom of the tank for t seconds. Calculate the instantaneous rate of change of v at time t = 2. Include units in your answer. Then write a sentence that explains what this quantity tells you.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 51E

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