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A 36.3 kg child starting from rest slides down a water slide with a vertical height of 20.8 m. (Neglect friction.)
(a) What is the child's speed halfway down the slide's vertical distance?1 m/s
(b) What is the child's speed three-quarters of the way down?2 m/s
Using the following integral and the facts that v(t) = x'(t) at time t of an object moving along the x axis is given, along with the initial position x(0) of the object. Answer the questions a - c.
a roadside picnic area is located at the 1453 km marker of a highway . the next picnic area is at the 1615 km marker . Calculate the distance between the two areas.
determine the steady state response of this system.
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
suppose that a body with temp. 85F is discovered at midnight, and that the ambient temp. is 70F. the body is removed quickly to the morgue where the ambient temp. is 40F. after 1 hour the body temp. is found to be 60F. estimate time of death.
Consider y''+9y=t^2(cos(3t)+4sin(3t)). This has homogeneous solution C1cos(3t)+C2sin(3t). Use method of undetermined coefficient to find a particular solution.
Find a position vector of a particle that has the acceleration a(t) = if v(0) = and r(0) = .
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
Problem on correlation coefficient
Find the area of the region enclosed by one loop of the curve. Find the exact length of the polar curve.
If we have 2 groups with 5 characteristics each, what would our critical value be with an alpha of .05?
find the perimeter of one of the smaller rectangles using systems of equations.
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