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A 12 foot ladder is leaning against a vertical wall when Sarah begins pulling the foot of the ladder away from the wall at the rate of 0.3 ft/s. How far is the foot of the ladder away from the wall when the vertical rate of change of the top is the same (numerical amount) as the horizontal rate of change of the bottom of the ladder?
A boat leaves a dock at 2pm and travels due west at a speed of 15 km/h. Another boast has been heading due south at 12km/h and reaches the same dock at 3. at what time were the two boats closest together?
find the total distance from the given particle.the position of a particle at any time t gt 0 is given by xt t2 - 2
find the equation of the tangent line to the curve f(x)=4/(5x + 7) at the point (-1.2). (use the definition of derivative (not short cut) to find f'(x))
Clear glass costs $3 per square foot and stained glass costs $10 per square foot. Express the cost of the window as a function of the radius of the stained glass pane.
If 32.7 cal of heat is removed from 17.8 g of copper, the temperature decreased to 15.2 oC. What was the initial temperature of the copper? (The specific heat of copper is 0.0908 cal/(g oC))
1) a) How many 16 bit strings of 0's and 1's contain exactly 7 1's? b) How many 16 bit strings of 0's and 1's contain at least one 1?
Calculate the revenue and marginal revenue (derivative of the revenue with respect to q) at a demand level of 400 pounds per month.
give probability in decimal form, in a class of 36, 3 earn's A,9 earn B's,23 earn C's and 1 D. if one student is selected at random, what is the probability the student earned an A?
melody used 3 as the value of pi to estimate the area of a circular patio that had a diameter of 26 feet. what is melody's estimate
Find the points of inflection and discuss the concavity of the graph of the function f(x)=(x-2)^3(x-1).
Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium
Which of the following would be a valid tensor equation? You should indicate if the equation is valid; and if it is not valid, you should state why.
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