Evaluate the work done between point 1 and point 2 for the conservative field F.F = 3xi + 3yj + 3zk; P1(3, 1, 4) , P2(6, 3, 8)

A. W = - 
B. W = 
C. W = 
D. W = 0


Answer: C

Mathematics

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Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.f(x) = 6x + 7g(x) = x2

A. x = -1, x = 
B. x = 1, x = - 
C. x = -1, x = 7
D. x = 1, x = 7

Mathematics

Solve the problem.An art teacher knows that for a price of $24 per student, she can enroll 20 students in her pottery class. However, for each decrease of $2 in the price, she can expect 10 more students. What price will maximize her revenue from the class?

A. $34 B. $4 C. $14 D. $19

Mathematics

Factor completely. If a polynomial cannot be factored, say it is prime.135x3 - 320x6

A. 5x3(3 - 4x)(9 + 12x + 16x2) B. 5(3x + 4x2)(9x2 - 12x3 + 16x4) C. 5(3x -4x2)(9x2 + 12x3 + 16x4) D. 5x3(3 - 4x)(9 + 16x2)

Mathematics

The "Verhulst model" for population growth specifies the reproductive rate of an organism as a function of the total population according to the following formula:

?

?
where p is the total population in thousands of organisms, r and k are constants that depend on the particular circumstances and organism being studied, and R(p) is the reproduction rate in thousands of organisms per hour. If and , find .
?

A.
B.
C.
D.
E.

Mathematics