Find the extreme values of the function subject to the given constraint.  

A. Maximum: 8 at    minimum: -4 at  
B. Maximum: 8 at    minimum: -31 at  
C. Maximum: 4 at    minimum: -4 at  
D. Maximum: 4 at    minimum: -31 at  


Answer: C

Mathematics

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Establish the identity. = cot ? - cot ?

What will be an ideal response?

Mathematics

Solve.A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial  Factor out the greatest common factor for this expression.

A. 4(x3 - 14x2 + 40x) B. 2x(2x2 - 28x + 80) C. 4x(x2 - 14x + 40) D. 4x(x2 + 14x + 40)

Mathematics

Solve.A company has 63,000 employees. Of these,  drive alone to work,  car pool,  use public transportation,  cycle, and the remainder use other methods of transportation. How many employees use each method of transportation?

A. Drive alone: 2,100; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
B. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 
C. Drive alone: 21,100; car pool: 10,500; public transportation: 8,900; cycle: 7,000; other: 1000
D. Drive alone: 21,000; car pool: 10,500; public transportation: 9,000; cycle: 7,000; 

Mathematics

Multiply and simplify.18 

A.
B. -162
C. -2
D. 2

Mathematics