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Find the velocity and position vectors of a particle that has the given acceleration and the given inital velocity and positions.
a(t) = t i+e^t j+e^-t k
v(0)=k,r(0)=j+k
Please use computer to graph the path of the particle.
When she is 30, Sue starts making annual deposits of $2,000 into a bondfund that pays 8% annual interest compounded continuously. Assuming that her deposits are made as a contiuous income flow, how much money will be in her account if she retires ..
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
The equation y = 1.13x + 7.85 represents the average monthly cost in dollars for cable television where x represents the number of years after 1980. Use this equation to answer the following questions.
Hypothesis test for population mean
The rate of change of the frequency (f) of an electronic osillator with respect to the inductance (L) is df/dL = 80(4 + L)^-3/2, find (f) as a function of (L) if (f) = 80 Hz for L = 0H.
Find fourier series of f(x)=4, x greater than -3 and less than 3. Find fourier series of f(x) = x^2-x+3, x greater than -2 and less than 2
Show a sketch of a region satisfying set of inequalities or system of inequalities
What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean? What is the quadratic formula? What is it used for? Provide a useful example.
Let n >= 0 be an integer, and for each 0 R be the function P(x) := the sum from i=0 to n of c_i x^i such a function is known as a polynomial of one variable
A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal.
.With the conditions of problem 1, if 20 students are selected , what is the probability that the mean of their scores is greater than 18?
The derivative by using the differentiation rules
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