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Find the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.
Suppose a particle is moving along a three dimentional path and that its coordinates after t seconds are given by the parametric equations:
X = et y = 2√2et/2 z = t
a) At t = 1, the particle is located at (e,2√2e,1). Find the velocity vector at this point.
b) Find the vector projection of the acceleration vector in the direction of the velocity vector at t = 1
c) Find the length of the curve between t = 0 and t = 1.
Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions
students. of these 28 are juniors , 34 are physics majors, and 9 are neither. a student is selected at random, what is the probability the student is both a junior and a physics major?
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.
Alzheimer's disease, a neurological disease, is a very costly public health problem. As the population ages, the incidence of Alzheimer's will increase. The incidence of Alzheimer's will nearly quadruple in the next 40 years. Finding a way to delay t..
assume that all doors produced can be sold for a profit of $500 and all windows can be sold for a profit of $400. Formulate an LP model for this problem. sketch the feasible region. what is the optimal solution?
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.
The line of action of the 4800-lb force F runs throughthe points A and B as shown in the figure. Determinethe x and y scalar components of F.
Calculate the ninety-nine percent confidence interval find the gasoline mileage of an individual, randomly selected 2006 car with 180 horsepower.
The preferred stock of Gapers Inc. pays an annual dividend of $6.50. What is the price of the preferred stock if the required return.
The dimensions of a rectangle are such that its length is 7 in more than its width. If the length were doubled and if the width were decreased by 3 in, the area would be increased by 114 in^2. what are the length and width of the rectangle?
The sales representative informs you that there are 65 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
The curves r1 = and r2 = intersect at the origin. Find their angle of intersection, θ correct to the nearest degree.
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