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Question: If a particle moving along a curved track (like a roller coaster) flies off the track, it continues in the direction of the tangent vector at the point where it left the track, at least if there are no external forces such as gravity or friction acting on it. Suppose a particle rolling down (towards the xy-plane) the helix shaped track given by r(t)=(2 cos t, 2 sin t, t) flies off the track when t = pi/4. Determine the point where the particle will hit the xy-plane.
1. an equalateral triangle has an area of 100in2. what is the length of its side?2. the sum of the circumference and
A person bounces up and down on a trampoline, while always staying in contact with it. The motion is simple harmonic motion, and it takes 1.98 s to complete one cycle. The height of each bounce above the equilibrium position is 54.0 cm.
If the data for both tests are normally distributed, on which test did the student score better? Show the use of a formula.
MATH 654-102: Design and Analysis of Clinical Trials MID-TERM EXAM. Can you estimate the probability that a random Italian woman is a ever smoker? State your reason. If you can, please provide your estimate
A garden is in the shape of a rectangle 47 feet long and 25 feet wide. If fencing costs $7 a foot, what will it cost to place fencing around the garden
Which two variables have the strongest strength of relationship?
A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?
The World Bank uses per-capita income to make distinctions among countries. List at least three countries in the following categories last year: high-income, upper-middle, lower-middle and lower-income.
a plane flies 460 mph with the wind and 300 mph against the wind in the same time. if the speed of the wind is 28 mph, what is the speed of the plane in still air?
about 19% of the population is hopelessly romantic, if two people are randomly selected what is the probablilty that both are hopelessly romantic.
use part a to represent the partial sum of the series integral(arctan(x^2))dx write the first 4 nonzero terms and the radius of convergence.
what percentage of the commuters will be using public transportation? (Round your answer to the nearest percent.)
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