Find an equation of the tangent line at the given point P.y = 3x2 + 5x - 7, P(-2, -5)

A. y = -7x + 28  
B. y = x + 1
C. y = x - 
D. y = -7x - 19  


Answer: D

Mathematics

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Use the definition to find an expression for the instantaneous acceleration of an object moving with rectilinear motion according to the given function. The instantaneous acceleration is defined as the instantaneous rate of change of the velocity with respect to time. v = 3t2 + 9t + 5[v is the velocity]

A. 3t + 9 B. 6t2 + 9t C. 6t + 9 D. 3t2 + 9

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Evaluate the integral.

A. e-x sin 3x -  e-x cos 3x + C
B. e-x cos 3x -  e-x sin 3x + C
C. e-x sin 3x + C
D. e-x sin 3x -  e-x cos 3x + C

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Match the function with one of the graphs.f(x) = 4e-x

A.

B.

C.

D.

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Complete the square to make the binomial a perfect square trinomial. ? ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics