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A 32.00-lb weight stretches a certain spring 6.40 ft when the weight and spring are placed in a fluid that resists the motion with a force equal to four times the velocity. If the weight is brought to rest and then given a velocity of 16 ft/s, find the equation of motion
A) x = 16 e^ -2x cos x
B) x = 16 e^ -2x sin x
C) x = 16 e^ -x sin 2x
D) x = 16 e^ -2x sin x +15 e^ -2x cos x
verifying some important results over real valued functions.prove or disprovelet fgh be real-valued functions and let
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
How many times does the quantity of aspirin, A mg, in the body halve in t hours? Use this to give a formula for A after t hours.
Verify that the point of coordinates ( 3/7 , 4/7 , 23/7 ) is on that parabola and find the equation of the line tangent to the parabola at the given point.
Formulate null and alternate hypothesis
Should the null hypothesis be rejected for the difference between the two groups in change in mobility scores over 12 weeks? Provide a rationale for your answer.
Seven dwarfs D1, D2, D3, D4, D5, D6, D7 each must be assigned to one of seven jobs in a mine, J1, J2, J3, J4, J5, J6, J7.
Finding the probability repeats in finite sequences. What is the probability that out of 3 people, 2 were born in the same month.
An object at the end of a spring is immersed in liquid. Its velocity (in cm/s) is then described by the equation v = 2e-2x + 3e-5t, where t is the time (in s).
DRUG DOSAGES Thomas Young has suggested the following rule for calculating the dosage of medicine for children 1 to 12 yr old.
When the sum of a group of scores is 280 and the mean of the scores is 7, how many scores are in the distribution? Find the mode, median, and mean of the distribution depicted in the following histogram
A carpentar is building a rectangular room with a fixed perimeter of 388 ft. What dimensions would yield the maximum area? What is the maximum area? The lenght that would yeild teh maximum feet is what?
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