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A 18 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t=0 and slides away from the wall at a rate of 2{ft/sec}.
Find the velocity of the top of the ladder at time t=1.
Sketch the regions enclosed by the given curves. Find its area
Hypothesis test for two differences between means
Adams High School has 174 freshman, 181 sophomores, 214 juniors, and 249 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
Suppose that Ford's performance scores really are Normally distributed. This year, managers with scores less than 31 received C's and those with scores above 595 received A's. What are the mean and standard deviation of the scores?
150 members indicated that they plan to attend the next Summer Olympic Games, and 90 indicated that they plan to attend the next Winter Olympic Games. How many members of the club plan to attend.
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
Compute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1. Directly by performing the line integration.
Suppose that a county ordinance requires a 2 1/5% 'fall' for a sewage pipe from the house to the main pipe at the street. How much vertical drop to nearest foot must there be for a horizontal distance of 55 feet.?
How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
Application of differentiation and integration on real world problem - Show the cost of running the car air conditioner vs. just rolling down the windows. Irecommend you investigate the google searches on Air conditions fuel efficiency car and Ai..
If the tide edd and flow over time in a periodic manner, use cosine function a) to make a sketch a sketch of the graph over 24 hour period. b) find a trig equation that models the depth of the water t hours after midnight.
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
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