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Let a be a real number (constant), V = C(R), S = {f is in V | f(x) = f(x+a)} (this subset is the set of periodic function on the real line with period equal to a) . Determine if S is a subspace. If not, provide a counter example.
A body of mass 6 kg moves in a (counterclockwise) circular path of radius 7 meters, making one revolution every 8 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
using the telephone numbers listed in your local directory as your population randomly obtain 20 samples of size 3.
Write a simple program to display a fibonacci number with rule as example
A 22 -foot extension ladder leaning against a building makes a 68.7 degrees angle with the ground. How far up the building does the ladder touch? What is the distance between the ground and the point at which the ladder touches the building?
Draw the minimum number of drawings of trees you can so that each tree with five vertices has one of those drawings. Explain why you have drawn all possible trees.
Two angles are complimentary. The sum of measure of the first angle and half the second angle is 74 degrees. find the measures of the two angles
What semiannually compounded rate is equivalent to 9.1% compounded quarterly? (Do not round the intermediate calculations. Round your answer to two decimal places.)
Problem 1: Find the average rate of change of the function over the given interval.
a market survey suggests that, on average, one additional unit will remain vacant for each $1 increasein rent. What rent should the manager choose to maximize revenue?
Let s(x, y) = √(y2 - x2). Sketch the domain of s. Find equations for the level curves {(x, y) : s(x, y) = c} for c = 1, 2, 3, sod sketch the curves.
The pressure in domestic water pipes is typically 70 psi above atmospheric. If viscous effects are neglected, determine the height reached by a jet of water through a small hole in the top of the pipe.
given the equations2x1 - 6x2 - x3 - 38- 3x1 - x2 7x3 - 34- 8x1 x2 - 2x3 - 20a solve by gauss elimination with
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