Evaluate using integration by parts.
dx
A. 3x4(ln 4x)2 - 6x3 ln 4x + C
B. 3x4(ln 4x)2 + 6x4 ln 4x - x4 + C
C. 3x4(ln 4x)2 - 6x4 ln 4x + x4 + C
D. x4(ln 4x)2 -
x4 ln 4x +
x4 + C
Answer: C
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Solve.AAA Technology finds that the total revenue function associated with producing a new type of computer chip is and the total cost function is
where x represents the number of units of chips produced. Find the total profit function, P(x) .
A. P(x) = -0.03x2 - 3x + 42 B. P(x) = 0.03x2 + 3x + 44 C. P(x) = -0.03x2 + 3x + 86 D. P(x) = -0.03x2 + 3x - 42
Determine whether the equation defines y as a function of x. y = |x|
A. function B. not a function
Find the x-intercepts, if any exist. Round your answers to two decimal places.
?
?
A. x-intercepts: ,
B. x-intercepts: ,
C. x-intercepts: ,
D. x-intercepts: ,
E. no x-intercepts
Simplify.-(-8x4 + 8x2 + x - 8)
A. 8x4 + 8x2 - x + 8
B. -8x4 + 8x2 + x - 8
C. 8x4 - 8x2 - x + 8
D. 8x4 + 8x2 + x - 8