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All vector spaces are finite dimensional
1) Let X be a finite dimensional linear space. Show that, for every subspace Y of X, Y perp perp = Y (that is, the annihilator of the annihilator of Y is Y)
2) X = U = V = polynomials in s, T=d/ds, S=multiplication by s
Show that S and T are linear and ST is not equal to TS
a population of animals oscillates sinusoidally between a low of 400 on january 1 and a high of 1600 on july 1. graph
Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. A 4-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 2) ft. Find a polynomial for the remaining open space on the p..
Find the function whose tangent line has the slope ex for each value of x, and whose graph passes through (0, 5). Find the function whose tangent line has the slope (3x2 + 1)‾ for each value of x and whose graph passes through (0, 2).
How much farther will a ball travel for each mile-per-hour increase in the speed of the bat?
Solve the equation by order of operations.
Use radical notation to rewrite the expression.1/2 (small 1/2 just above and to the right of 16)16 =16 1/2 (small 1/2 just above and to the right of 16) =
Apply the guidelines for Graphing Polynomials to graph
Evaluate the ratios and check are the ratios equivalent.
Solving the equations
Multiplying rational equation
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
Two mechanics worked on a car. The first mechanic worked for 20 hrs and the 2nd worked 5 hours. Together they charged a total of $2250.
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