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In each of the following exercises, we shall use the notation f(x) to denote the function x→f(x), x ε R. In each case, V will denote the vector space of all real-valued functions on the real line, with the vector operations defined point-wise. In each case, determine whether or not the given set is linearly independent and compute the dimension of the linear subspace spanned by the set.
18. {1, eax, ebx}, a≠b.23. {1, cos2x, sin2x}.
the charge to rent a car is 29.95 per day plus .08 per mile. write an expression that shows the cost of renting a car
A total of 258 tickets were sold for the school play.The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Apply the Gauss Jordan method
Suppose further that every $100 billion spent on defense increased taxpayer satisfaction by 5% while every $100 billion spent on other services increased satisfaction by 3%.
Make a graph for the equation.
Determine if the function is even, odd, or neither. Compare the graph of the given quadratic function f with the graph of y = x2.
Find the equation in standard form of the straight line that passes through the point midway between (-7, -12) and (-5, 2) and has a slope of 3.
Find the value of n such that the expression is a perfect square trinomial, then factor it. Solve the equation by completing the square and applying the square root property
Find the distance of the kangaroo’s jump
Write a system of linear equations (two) that describe the situation above and solve for the weight of each grade bean that you need to buy.
A six-digit integer is formed by placing two 3-digit integers side by side. If the larger of the two integers is placed ahead of the smaller integer, the number formed is six times greater than if the smaller integer is placed ahead of the larger ..
Which matrices would be used to solve the following system of equations?
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