Integrate the function f over the given region.f(x, y) = y2 ex4 over the triangular region in the first quadrant bounded by the lines x = y/3, x = 1, y = 0

A. 27(e + 1)
B. (e - 1)
C. 9(e - 1)
D. e


Answer: B

Mathematics

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Use implicit differentiation to find dy/dx and d2y/dx2.xy + 3 = y, at the point (4, -1)

A.  = 3;  = - 24
B.  = -  = 0
C.  =  = - 
D.  =  = 

Mathematics

Evaluate the integral.

A. 5 tan-1 + C
B. sin-1 + C
C. tan-1 + C
D. (2x + 6) ln  + C

Mathematics

Estimate the value of the quantity.The velocity of a projectile fired straight into the air is given every half second. Use right endpoints to estimate the distance the projectile travelled in four seconds.

A. 903.6 m B. 942.8 m C. 471.4 m D. 451.8 m

Mathematics

Factor completely. If the polynomial cannot be factored, write "prime."8p3 - 1

A. (8p - 1)(p2 + 2p + 1) B. (2p - 1)(4p2 + 2p + 1) C. (2p - 1)(4p2 + 1) D. (2p + 1)(4p2 - 2p + 1)

Mathematics