Provide an appropriate response.Given that f(x) = cos x, show that 
= cos x 
- sin x 
.
What will be an ideal response?
= 
= 
- 
= cos x 
- sin x 
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Use the following information to classify the triangle and solve for the missing angle. 
A. obtuse, 147° B. acute, 57° C. acute, 67° D. right, 57°
Solve the quadratic inequality. Write your answer in interval notation.x2 - 9x + 18 ? 0
A. (-?, 3] B. (-?, 3] ? [6, ?) C. [3, 6] D. [6, ?)
The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval.(- 1, 0)
A. increasing B. constant C. decreasing
Tank A contains 25 lbs of salt dissolved in 100 gal of water. Tank B contains 40 lbs of salt dissolved in 100 gal of water. The mixture from tank A is pumped to tank B at the rate of 30 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ). (b) Use the initial conditions A(0) = 25 and B(0) = 40 to solve for A and B. (c) What are the equilibrium values of A and B? 18. (