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A ladder 10 ft long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall, and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π/3?
Calculate the percentage of variance explained for r = 0.53. Is this correlation clinically important?
Explain in your own words how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
A carpenter makes two types of chairs for a school. To make type A chairs it takes 6 man hours and 4 man hours for type B. The cost of material for type A is sh 120 and that of type B is sh100. The profit on type A is sh80 and that of type B is sh..
a farmer has 1225 feet of fencing and wants to fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river. what are the demensions of the field of the largest are he can fence?
To minimize costs, how many boxes of envelopes should the company order - Find an equation of the tangent line to the curve at the given point.
What is the approximate value of b when angle C = 106 degrees, angle B = 28 degrees and c = 36 ?
Assume that 10% of the population is left-handed. If three people are chosen at random, what is the probability that at least one will be left-handed?
application of differential calculus maximization and minimization.you run a small furniture business. you sign a deal
The base of an aquarium with volume V = 360 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The length of a rectangular garden is 7 feet longer than its width. If the garden's perimeter is 182 feet, what is the area of the garden in square feet?
the number of asthma sufferers in the world was about 84 million in 1990 and 300 million in 2009. let n represent the
Nielsen media research provides two measures of the television viewing audience: a television program rating, which is the percentage of households with televisions watching a program and a television program share
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