Solve the problem.If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, 
How is dc/dt related to da/dt and db/dt?
A. 
= 2a
+ 2b
B. 
= a2
+ b2
C. 
= 
D. 
= a
+ b
Answer: C
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Give an appropriate answer.Given the function f(x, y) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures 
< ?.f(x, y) = 
; ? = 0.09
What will be an ideal response?
Find the inverse of the matrix, if possible.
A. 
B. 
C. 
D. No inverse
Find the expected value of the optimal strategy.A clothing manufacturer must decide which of two clothing lines to emphasize for the spring season, her usual line or a budget line. Her success with each line depends on the state of the economy next year. She estimates the payoff matrix to be as follows:StrongIn-betweenWeakEconomyEconomyEconomy
Economists believe that there is a 10% chance of a strong economy next year, a 60% chance of a weak economy, and a 30% chance of an 
-4.0px;" /> economy. What is the manufacturer's maximum expected profit?
A. $25,000
B. $18,100
C. $20,333
D. $24,900
Graph the rational function and find the intercepts.h(x) = 
A. x-intercept: 4. y-intercept: 0.
B. x-intercept: 0. y-intercept: -3.
C. x-intercept: 0. y-intercept: 0.
D. x-intercept: 0. y-intercept: 0.