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F ( x) To calculate the derivative f ( x) of f ( x) = (4 - x) /(3 + x) . (b) The radius of a circular disk is given as 24cm with a maximum error in measurement of 0.2cm. (i) (ii) (c) Use differentials to estimate the maximum error in the calculated area of the disk. What is the percentage error of this calculation?
Determine the total annual cost over the life of the refrigerator for a refrigerator that lasts 15 years. Assume that the only cost associated with the refrigerator are its purchases price and electricity
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
the revised estimated project cost is 19,350. What is the difference in percentage of profit between the orginial estimated cost and the revised estimated cost?
State the inverse, the converse, and the contrapostive of the given statements.
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions and post to the discussion forum. Discuss these functions and their graphs with your classmates.
out of 300 computers, 22 are defective. how many defective computers would you expect in a group of 30,000.
Find a 99% confidence level for the different in the proportion of the portfolios meeting target goals managed by Kendra compared to those managed by Lisa. Is there a difference in the proportions at the 99% confidence level? Explain.
In an analysis of the results on the entrance exam for a particular academic department at a University, Rania randomly selected 30 students who wrote the exam last year and compiled the data into the following table.
A one compartment vertical file is to be constructed by bending the long side of an 8 inch by 20 inch sheet of plastic along two lines to form a U shape. How tall should the file be to maximize the volume that it can hold?
A rectangle is inscribed in a circle of radius 10m. The are of the rectangle is 160m^2. What is the perimeter of the rectangle?
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