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1. Prove the following statements using the precise definition of the limit
a. limx→2 3 - 4x = - 5
b. limx→1 (4/3)x + 2 = 10/3.
2. Find all horizontal and vertical asymptotes of the following functions. If there are no asymptotes, say so.
a. f(x)= (x2 - 4x + 3) / (6 - x - x2).
b. g(x) = e1/x.
c. h(x)= √(x2+x+1) - √(x2+2x).
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
Give the mean and standard deviation for the coin variable and compare these to the mean and standard deviation for the binomial distribution that was calculate in question 5. explain how they are related. mean=np, standard deviation
the depth of a pond is 180 cm is being reduced by 1cm per week. the depth of the second pond is a 160 cm and is being by 1/2 per week. if the depths of both ponds continue to be reduced at these constant rates, in how many weeks will the ponds be ..
Using the internet, find a website where a linear equation is used. Using that website as a source, write a ¾ - 1 page essay response in which you discuss how the equation was used, if it was used correctly, and what solutions to the equation mean..
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
Find the average rate of change per month in the average price per gallon for each time period. From January to July (the peak), From July to December and From January to December.
Sketch a graph of the given function C(h) - Where is the vertical asymptote? Does it play a role in this context?
Relationships and patterns involving prime numbers 4.2.5.2.1. Twin prime numbers Consecutive prime numbers with a difference of 2 4.2.5.2.2. Is there a largest prime number? No See p. 238 4.2.5.2.3. What is the largest prime number that has been f..
Royal Palm hospital has 500 beds and 55 bassinets. As the HIM manager, you report monthly statical data of hospital operations to administration and department managers. Use the information in table 3-3 to calculate the percentage of occupancy for..
what is the maximum product of two numers that add to 26? what numbers yeild to this product?
Find the differential coefficient for three different functions to demonstrate the use of function of a function and the product and quotient rules and use integral calculus to solve two simple engineering problems involving the definite and indefi..
The simple interest formula I=prt gives the interest earned on an investment of p dollars at interest rate r for a time of t years. How much does Leroy need to invest at a rate of 7% in order to earn $420 interest in 4 years?
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