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One end of a rigid rod of length 3 feet is attached to a wheel of radius 1 foot, centered at the origin. The wheel is free to rotate about the origin. As the wheel rotates, the right end of the rod (the point labeled X in the figure) slides along the x-axis. Image link: https://preview.tinyurl.com/hxovvko
(a) Find an equation relating X and θ.
(b) Suppose that when θ = π/3, the right end of the rod is moving to the right at a rate of0.5 ft/sec. How fast (in radians per second) is θ changing when θ = π/3?
Consider drawing 7 cards at random with replacment from a standard deck of playing cards. For this problem, consider Aces to be face cards, not numbered cards. Which of the following sets of variables have a multinomial joint distribution? (select..
Could you give me one of your concise explanations with examples as to how to use them? I am struggling with the abstract aspects of this concept.
Find the lines that are tangent and normal to the curve at given point for the following below: (x2)(y2) = 36 (1,-6) and 4.) y = 7 sin (πx-y), (1,0).
A. Formulate the null and the alternative hypotheses. B. Which statistic should be used to test the hypotheses?
What is the shadow price for the fiber constraint's RHS? Over what range of values is it valid?
How close to the ground can the ball fall before it is too late for a warning shout from the balcony to reach the man in time? Assume that the man requires 0.300 s to respond to the warning.
A man rows a boat 480 feet upstream against a constant current in 8 minutes. He then rows 210 feet downstream ( with the same current) in 3 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
Marty has a piggy bank that contains $2.25. The piggy bank contains only quarters and dimes. There are twice as many dimes as quarters in the bank. How many dimes are in the piggy bank?
Find all [vanishing and non-vanishing] components of mixed curvature tensor - find all components of Rprmn.
use the optimality conditions to find all local solutions to the following problem
A rocket accelerates straight up from rest with a constant acceleration of 400 m/s2. How long will it take the rocket to reach an altitude of 16,200 meters?
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