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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}.
Simplify the algebraic equation.
the 6th grade class has 12 boys and 20 girls. the teacher wants to divide them into groups that have the same number of
ellen works for a high-speed rail company that wants to develop a new rail line. ellens project is to find a train that
Simplify the given fraction
The point A(-1 ; 3) lies in a Cartesian plane. Determine the co-ordinates of the image of A if: A is reflected about the x-axis. A is rotated about the origin through an angle of 900 in an anti-clockwise direction.
a cargo container was measured with a degree of accuracy to the nearest 1ft 8ft times 8ft times 20ft. what is the
Each square on the grid paper is 1 square inch. Estimate the parimeter of the figure.
coffee palace s manager joe felan suspects that demand for mocha latte coffees depends on the price being charged.
a 10-foot tree casts a 12-foot shadow. at the same time a nearby cell tower casts a 60-foot shadow. how tall in feet is
When solving a rational equation what is the first step we must always take? Illustrate using the example. What happens if the expression equal to zero? Solve the example below to help explain your answer to these questions.
Graphs translations
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities?
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