Find the double integral over the rectangular region R with the given boundaries. R0 ? x ? 2, 0 ? y ? 5

A. 100
B. 200
C. 50
D. 25


Answer: C

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y, z) = x2y + y2z + xz2

A.  = 2y + z2 = x2 + 2z;  = y2 + 2x
B.  = 2xy + z2 = x2 + 2yz;  = y2 + 2xz
C.  = 2xy;  = x2 + 2yz;  = y2 + 2xz
D.  = 2xy + z2 = x2 + yz;  = y2 + xz

Mathematics

Add or subtract as indicated. Simplify if necessary. - 2 

A.  - 
B.  
C.  - 
D.  - 

Mathematics

Provide an appropriate response.Describe the three possible outcomes when graphing a system of equations, and relate each to the type of solution(s) each system has.

What will be an ideal response?

Mathematics

A 25-ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 15 ft from the wall and sliding away from the wall at the rate of 6 ft/sec?


Hint: Refer to the accompanying figure. By the Pythagorean theorem, . Find  when  and .

?
a = 25; b = 6
?

What will be an ideal response?

Mathematics