Provide an appropriate response.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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Find the intervals on which the function is continuous.y = 
A. 
, 
B. (-?, ?), (?, ?)
C. (-?, 0), (0, ?)
D. (-?, ?)
Provide an appropriate response.Sketch the region described by the inequalities.
What will be an ideal response?
Solve the problem.A pulley of radius 25 cm rotates 7 times in 4 sec. Find the angular speed of the pulley.
A. 
radians per sec
B. 
radians per sec
C. 
radian per sec
D. 
radian per sec
Solve the problem.Suppose a cost-benefit model is given by 
, where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 35% to the nearest dollar.
A. $1330 B. $2046 C. $538 D. $3800