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The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0. r(t) = (6t2 + 5)i + (2t3 - 8t)k.
the probability of passing english 0.72 and the probability of passing statistics 0.81and the probability of passing both 0.68. what is the probability of pasinng at least one subject or none.
a 17-ft ladder is leaning against a wall. If the bottom of the ladder is pulled alone the ground away from the wall at a constant rate of 5ft/sec, how fast will the top of the ladder be moving away
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
You walk 84 yards due south, then 145 yards due west, and then 35 yards due north. How far away is your starting point?
A man slides down a ramp on a wheel chair. If the mass of the chair is 50kg, calculate the mass of the person sitting on the chair.
measure of angle of elevation of the top of a cliff is 25. on walking 100m towards the cliff measure of angle of elevation of the top is 45. find the height of the cilff.
what must be the amount of the finance charge? round your answer to the nearest cent.using the information provided what is nick,s account balance.
Assume that maintenance repair times are distributed normally and that the MTTR is 60 minutes. Standard deviation is 20 minutes. What percent of the total population lies below 65 minutes?
Applications of exponential function: Principal, rate, time - evaluate an exact solution and the check your solution using the estimate of the "law of 72".
Amortization sinking fund ordinary annuity present value future value
an arrow is shot into the air. it's function h= 128t-16^2 find it average velocity of the arrow over the intervals from 2 seconds to 3 seconds
There are about 5.859x10¹² miles in 1 light-year. Estimate how many miles this star travels in one year.
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