Solve the problem.Show that A = au + bv is orthogonal to B = bu - av, where u and v are orthogonal unit vectors.
What will be an ideal response?
A?B = (au + bv)?(bu - av) = abu?u - a2u?v + b2u?v - abv?v = ab - ab = 0
Since the dot product is zero and since neither A nor B is identically zero, A and B are orthogonal.
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Provide an appropriate response.Obtain the first two terms of the Maclaurin series for sin(tan x).
A. x - 
B. x + 
C. x - 
D. x + 
Solve the proportion for the given variable. 
= 
A. 3 B. 6 C. 7 D. 4
Find the quotient and the remainder.20x3 - 29x2 + 15x + 12 divided by 5x - 1
A. 4x2 - 5x + 2; remainder 0 B. 4x2 - 5x + 2; remainder 17 C. x2 + 2; remainder -5 D. 4x2 - 5x + 2; remainder 14
Solve the problem.In a certain country the number of acres of farmland is modeled by 
where x is the year with 2002 ? x ? 2012. Evaluate f(2012) and interpret the result.
A. 747,076; In 2012, 747,076 acres of farmland are converted to other uses. B. 754,912; In 2012, there are 754,912 acres of farmland. C. 1,054,912; In 2012, 1,054,912 acres of farmland are converted to other uses. D. 1,054,912; In 2012, there are 1,054,912 acres of farmland.