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1. a. Find the slope of the curve f(x) = (4x-3) /(x2 - 4) at x=0.
b. Using part a) above, find the linearization L(x) at x = 0 and use it to approximate f(0.1).
c. Find the differential df.
2. A sphere was measured and its radius was found to be 45 centimeters with a possible error of no more that 0.01 centimeters. What is the maximum possible error in the volume if we use this value of the radius?
Calculate the number of bridge hands which contain and calculate the probability of being dealt each of the hands in parts (a), (b), and (c). Give your answers to 5 decimal places.
the length of a rectangular yar is 50 ft, and its perimeter is less than 170 ft. describe the width of the yard.
The maximum score on an exam is 100 points. If it is not possible for Katie to achieve the required score on the exam, type np in the answer blank.
When is the particle moving in the positive direction? (Enter your answer using interval notation.) Find the total distance traveled during the first 6 s. ft Find the acceleration at time t (in ft/s2).
What is the probability that at least one student will visit the game room during the next 20 minutes?
The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces he can rent is given by the equation y = 200 - 4x.
The working load to be supported by the foundation is 2600 kN, use the Sctunertmann's method to estimate the settlement of the foundation for the conditions - Determine the maximum consolidation settlement of the raft foundation.
What is the slope of the graph? What does it represent?
Find a function that models the total area of the four pens. (Use w to represent the width of the field, and write the function A in terms of w.)
A rancher has 300 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be a maximum?
Andy begins walking north from an intersection at (v+3) ft/s. After 10 seconds, he is 100 ft north of the intersection. What is the value of v?
A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup of their special blend that they sell.
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