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Suppose a particle is moving along the x-axis and its acceleration function is given by a(t)=(-1/(t-10)^2) for 0<t<10, where t denotes times, measured in seconds. Suppose the particle's initial velocity is -1/10 and its initial position is x=2. Find the particle's position after 5 seconds.
Find the probability that the coin turns up heads once and tails once?
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
You walk 88 yards due south, then 124 yards due west, and then 44 yards due north. How far are you from your staring point?
For the PCJ, what is the percentage change in return on equity (ROE) after recapitalization (i.e. with debt) under the expansion scenario as compared to the ROE for the normal sales scenario?
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
The area of a playground is 336 yd^2. The width of the playground is 5 yd. longer than its length. Find the length and width of the playground.
Find the alternative hypothesis and the null hypothesis.
What is the slope, or rate of change, of this equation?
Two angles are complimentary. The sum of measure of the first angle and half the second angle is 74 degrees. find the measures of the two angles
a fox weighs twice as much as a chicken. If a 3 foxes and 4 chickens weigh 70 pounds, what does a fox weigh? What does a chicken weigh? How do you solve this?
Find elementary matrices E,F,G and a matrix R in row-echelon form such that the following matrix A is equal to EFGR.
How does a partial derivative differ from an ordinary derivative? When should we use partial derivatives and when should we use ordinary derivatives?
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