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1) What similarities and differences do you see between the functions and linear equations?
2) Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.
3) Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
Of 100 Clock radios with digital turners and /or CD players sold recently in a department store, 70 had digital turners and 90 had CD players. How many radios had both digital turners and CD players?
Suppose that f: C->C and that f is analytic at a point z0 element of C. Prove that there exists a real number r>0 such that, the nth derivative of z0=[n!/(2 pi r^n)]x[int(e^(-niy)f(z0+re^(iy)) from 0 to 2pi with respect to y for all n element of N..
How many years would it take to clear 50% of the pollutants? (Round the answer to the nearest thousandth.)
a plane is heading due south with an airspeed of 239 mph. a wind from a direction of 53 degrees is blowing at 10mph. find the bearing of the plane.
A ship travels 200km west from port and then 240km due south before it is disabled. Illustrate this in a vector diagram. Usa trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
Elena's daughter sold 69 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troop's sale. How many boxes did the troop sell?
Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $288 in interest after 3 years. How much money should he deposit?
What proportion of children 10-15 years would be classified as hyperlipidemia(assume that hyperlipidemia is defined as a total cholesterol level over 200)?
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
A drawer contains n=5 different and distinguishable pairs of socks (a total of 10 socks). If a person randomly selects 4 socks, what is the probability that there is no matching pair in the sample?
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