Solve the problem.Suppose the supply function of a certain item is given by 
and the demand function is given by D(q) = 14 - q2. Find the producers' surplus.
A. 
B. 16
C. 
D. 8
Answer: D
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 0 for r(t) = ln(t3 - 5t2 + 5)i - 
j - 7cos(t)k
A. v(0) = 
i - 
j + 7k
B. v(0) = - 
j
C. v(0) = 
i - 
j
D. v(0) = 
j
y?? ?8y? +12y = 0
What will be an ideal response?
Solve the problem.How much will it cost to carpet a 15 ft by 16 ft room if carpeting costs $16.50 per square yard? Round the answer to the nearest cent.
A. $3960.00 B. $330.00 C. $1320.00 D. $440.00
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round lengths to the nearest tenth and angle measures to the nearest degree.A = 30°, a = 14, b = 28
A. B = 60°, C = 60°, c = 24.2 B. no triangle C. B = 90°, C = 60°, c = 24.2 D. B = 60°, C = 90°, c = 24.2