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Electrical wires suspended between two towers form a catenary modeled by the equation y= 20 cosh x/20 where x and y are measured in meters. The towers are 40 meters apart. Find the length of the suspended cable.
Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?
It is sometimes claimed that Fahrenheit degrees are more accurate than Celsius degrees because the measurement unit is smaller. Would the same conclusions be reached if Celsius degrees were used instead of Fahrenheit? Justify your answer.
Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
A building is 388 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
the man is 5 feet tall. The pole casts a shadow that is 36 feet and the man casts a shadow of 8 feet. How tall is the telephone pole?
a pebble is dropped into a still pond, causing ripples in the form of concentrate circles. The radius r of the outer circle is increasing at a rate of 25 cm/s. When the radius is 100 cm, at what rate is the total area of the diturbed water increas..
The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?
A wooden artifact from an ancient tomb contains 60% of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years. Round your answer to the nearest whole number.)
A 3 ft high and 6 ft width rectangular plate is submerged vertically in water so that the top is 2 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the n..
The deep end of a swimming pool is vertical and has the shape of an isosceles trapezoid across the top, across the bottom, and deep. Find the force against the end.
The average SAT math scores M of potential college students can be approximated by M = 1.4t + 518, where t is the number of years since 2004.
Undergraduate senior level Real Analysis. Please show me formal math proofs. Give an example of a binary relation which is
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