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A ladder 20 ft long rests against a vertical wall. Let theta 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 theta when theta = pi/3
The gross annual earnings of a certain company A(t)= 0.1t^(2)+10t+ 20 thousand dollars t years after its formation in 2004. At which percentage rate were the gross annual earnings growing with respect to time in 2008?
Find the condition that the curve y = mx + c to be a tangent to the parabola y^2 = 4 ax and also determine the point of contact.
Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on you..
Place the following set of numbers in ascending order. Determine the maximum and minimum values of the following set of numbers. 36/7,-1,-2/3,-5,26/9
The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the speed and inversely as the radius of the curve.
Use the branch of the logarithm given by 0
Prove or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)?
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
Examples of Probability and Statistics in Real Life, Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Let G be an abelian group such that the operation on G is denoted additively. Show that {a is an element of G| 2a = 0} is a subgroup of G.
Describe an approach to teaching the base-ten place-value system that incorporates the use of fractions and percentages. For example, consider how you could show your students single popsicle sticks, popsicle sticks bundled in tens, popsicle stick..
How to solve a problem with Property Tax in a position in Pennsylvania earning 50,000 per year. You found a duplex that you can purchase with an assessed value of $75,000.
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