[10 pt] 1. A particle moving along a line has a displacement according to the function...

 

Transcribed Image Text:

[10 pt] 1. A particle moving along a line has a displacement according to the function x(t)=²-2t+4, where x is measured in meters and tis measured in seconds. Find the average velocity over the time period t = [0,2]. [4 pt] 2. The statement "the limit of a constant times a function is the constant times the limit" follows from a combination of two fundamental limit principles. What are they? Put a check next to the correct answer. A. The limit of a product is the product of the limits, and a constant is continuous. B. The sum or the difference of two functions is continuous. C. The limit of a sum or a difference is the sum or the difference of the functions. D. The limit of a sum or a difference is the sum or the difference of the limits. E. The limit of a product is the product of the limits, and the limit of a quotient is the quotient of the limits. F. The limit of a constant is the constant, and the limit of a product is the product of the limits. G. The limit of a function is a constant times a limit, and the limit of a constant is the constant. H. The sum or the difference of two functions is the sum of two limits. [4 pt] 3. Provide a short sentence that summarizes the general limit principle given by the formal notation lim [f(x) = g(x)]- lim f(x)= lim g(x)=L=M, given that lim f(x)-Land lim g(x)-M. x-a x-a x-a X-a x-a A. The limit of a sum or a difference is the sum or the difference of the functions. B. The sum or the difference of two functions is continuous. C. The limit of a constant is the constant, and the limit of a product is the product of the limits. D. The limit of a product is the product of the limits, and the limit of a quotient is the quotient of the limits. E. The limit of a sum or a difference is the sum or the difference of the limits. F. The limit of a product is the product of the limits, and a constant is continuous G. The limit of a function is a constant times a limit, and the limit of a constant is the constant. H. The sum or the difference of two functions is the sum of two limits. [10 pt] 1. A particle moving along a line has a displacement according to the function x(t)=²-2t+4, where x is measured in meters and tis measured in seconds. Find the average velocity over the time period t = [0,2]. [4 pt] 2. The statement "the limit of a constant times a function is the constant times the limit" follows from a combination of two fundamental limit principles. What are they? Put a check next to the correct answer. A. The limit of a product is the product of the limits, and a constant is continuous. B. The sum or the difference of two functions is continuous. C. The limit of a sum or a difference is the sum or the difference of the functions. D. The limit of a sum or a difference is the sum or the difference of the limits. E. The limit of a product is the product of the limits, and the limit of a quotient is the quotient of the limits. F. The limit of a constant is the constant, and the limit of a product is the product of the limits. G. The limit of a function is a constant times a limit, and the limit of a constant is the constant. H. The sum or the difference of two functions is the sum of two limits. [4 pt] 3. Provide a short sentence that summarizes the general limit principle given by the formal notation lim [f(x) = g(x)]- lim f(x)= lim g(x)=L=M, given that lim f(x)-Land lim g(x)-M. x-a x-a x-a X-a x-a A. The limit of a sum or a difference is the sum or the difference of the functions. B. The sum or the difference of two functions is continuous. C. The limit of a constant is the constant, and the limit of a product is the product of the limits. D. The limit of a product is the product of the limits, and the limit of a quotient is the quotient of the limits. E. The limit of a sum or a difference is the sum or the difference of the limits. F. The limit of a product is the product of the limits, and a constant is continuous G. The limit of a function is a constant times a limit, and the limit of a constant is the constant. H. The sum or the difference of two functions is the sum of two limits.

Answer rating: 100% (QA)

1 Average velocity over the time period t 0 2 To find the average velocity we need to calculate ... View the full answer