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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = -3.
y = x**2 text(, ) x = y**2
From the top of a 230 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
Probability. Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma
Define an imaginary number in your own words and explain the difference between an imaginary number and a complex number. (minimum 50 words).
What fraction of the initial kinetic energy of the cars is lost during this collision?
Provide a plot of temperature versus distance east. Based on its appearance, is it a good linear model for predicting temperature as a function of distance?
In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft.
What is the chance that both circuits she selects will be defective? Show step by step work! Approximate the solution to the nearest ten thousandth.
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
A $17,720 used car can be purchased with $960 down, the balance plus a 14.50% add-on interest rate to be paid in 48 monthly installments. Find the monthly payment, rounded to the nearest dollar.
One card will be randomly selected from a standard 52-card deck of cards. What is the probability that it will be the jack of hearts?
If 2200 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
a sky diver jumping from a plane at a height of 5,000 feet. He will fall 16 feet in the first second. Thereafter, until the parachute opens, the distance fallen during each second will be 32 feet more than the distance fallen during the previous s..
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