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Find an equation of the tangent line to the curve y(x) = (9/(sin(x)cos(x))+(3sin(x)/(sec(x)cos(x)) at the point (1/5 Pi, y(1/5 Pi))
The theory of the broken chord asserts that if AB and BC make up a broken chord in a circle, where BC > AB and if M is the midpoint of arc ABC, the foot F of the perpendicular from M on BC is the midpoint of the broken chord ABC.
Suppose the objective function is changed to max 5A + 2B. Find the optimal soultion and the value of the objective function.
A landscaper wants to combine golden landscape rock with rust-colored landscape rock to make a mix. The golden rock costs $0.59 per pound and the rust-colored rock cost $0.49 per pound.
The circumference of a sphere was measured to be 86000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
If a ball is thrown directly upward with a velocity of 48 ft/s, its height (in feet) after t seconds is given by y = 48t - 16t2. What is the maximum height attained by the ball? (Round your answer to the nearest whole number.)
Find the equation of the line and you can write your answer in the following form: p = mx + b. Normally in this class, you would probably use the "y = mx + b" format. You are basically substituting the variable "y" with "p"
Of the students at a certain college, 50% regularly attend the football games, 40% are first-year students, and 40% are upper-class students who do not regularly attend football games. Suppose that a student is selected at random.
Suppose that N and M are two normal subgroups of G and that N intersection M = (e). Show that for any n belongs to N, m belongs to M, nm = mn.
The inflation rate for Britain is 6.8. Use the least squares line to estimate Britain's independence rating.
A large boat needs at least 4 meters of water to secure it at the end of the pier. Determine what time period after noon the boat can safely be secured.
a scale drawing has a scale of 1cm:3cm. how thw scale can be use to find the actual distance between objects in the drawing?
a room measures 9 meters by 13 meters and the ceiling is 3 meters high. A liter of paint covers 16 square meters. How many liters of paint will it take to paint all but the floor of the room?
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