Give the appropriate form of the partial fraction decomposition.

A.  +  
B.  +  
C.  +  
D.  +  


Answer: C

Mathematics

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Solve the system by the best method. Use set notation to express the solution set.

A. {(-1, -6)} B. no solution; ? C. {(-1, -7)} D. {(-2, -6)}

Mathematics

Sketch the graph of the function and find the domain and range.f(x) = 2(x + 1)2 - 3

A. domain: all real numbers
range: y ? -3

B. domain: all real numbers
range: y ? -3

C. domain: all real numbers
range: y ? -3

D. domain: all real numbers
range: y ? 1
 

Mathematics

Solve the problem.Give reasons for your answers.Let f(x) = (x - 2)2/3 (a) Does f'(2) exist?(b) Show that the only local extreme value of f occurs at x = 2.(c) Does the result of (b) contradict the Extreme Value Theorem?(d) Repeat parts (a) and (b) for f(x) = (x - c)2/3.

What will be an ideal response?

Mathematics

Solve the problem.Find the discount amount for a coat with an original price of $90.00 and a discount rate of .

A. $0.45 B. $85.50 C. $4.50 D. $89.55

Mathematics