# What are the units of f 9 b in general will f 9 be

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What are the units of f ' ( 9 )? (b) In general, will f ' ( 9 ) be positive or negative? pounds pounds/dollar pounds/(dollars/pound) dollars dollars/(pound/pound) dollars/pound positive negative Solution or Explanation Click to View Solution 6. 8/8 points | Previous Answers Tafu is working with subatomic particles in the Physics lab. A positron is traveling in a straight line down the particle accelerator. Tafu models its position with the function p(t)= t 2 t – 1 where t>1 . In the limit calculations below, if you need to use - or , enter -INFINITY or INFINITY. (a) Calculate the limit lim_(t->infty) p(t) = INFINITY INFINITY . (b) Calculate the limit pounds pounds/dollar pounds/(dollars/pound) dollars dollars/(pound/pound) dollars/pound positive negative
2/21/14, 2:38 PM Chapter 2.7 HW, Part 2 Page 7 of 11 . (c) Calculate the limit lim_(t->2) p(t) = (d) Let a>1 be some fixed number. Let h>0 be some small number. Write out a formula for the slope of the secant line to the graph of x=p(t) between the point at t=a and the point at t=a+h (WARNING: When you write out an expression involving a and h , anytime you want to multiply times h , you need to leave a single space between the two; i.e. " a h " means " a times h ". In contrast, if you write " ah " the computer=webassign thinks that you are talking about a new variable called " ah ". Alternatively, use the arithmetic buttons in the pop-up box whenever you want to add, subtract, multiply or divide.): (e) Keep a fixed and think of your formula in (d) as a function in the variable h . Call it f(h) Simplify your formula for f(h) as much as possible; your final answer should be a rational function in h which is defined at h=0 . (WARNING: When you write out an expression involving and h , anytime you want to multiply a times h , you need to leave a single space between the two; i.e. " a h " means " a times h ". In contrast, if you write " ah " the computer=webassign thinks that you are talking about a new variable called " ah ". Alternatively, use the arithmetic buttons in the pop-up box whenever you want to add, subtract, multiply or divide.): (f) Calculate the limit . . a . a
2/21/14, 2:38 PM Chapter 2.7 HW, Part 2 Page 8 of 11