Find the equation for the tangent to the curve at the given point.f(x) = x2 + 5x ; (4, 36)

A. y = -39x - 80
B. y =  + 
C. y = 13x - 16
D. y = -  +  


Answer: C

Mathematics

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Evaluate the integral using the given substitution. dy , u = y6 + 5y3 + 5

A. (y6 + 5y3 + 5)4 + C
B. (y6 + 5y3 + 5)4(10y4 + 10y) + C
C. (y6 + 5y3 + 5)4 + C
D. 9(y6 + 5y3 + 5)2 + C

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Solve the system for x and y. Show your answer as an ordered pair, (x, y).x + 2y = 6-3x + 3y = 9

A. (1, 2) B. (-3, 0) C. (0, 3) D. Infinite solutions

Mathematics

Evaluate the integral.  

A. ln  + C
B. -  ln  + C
C. -  ln  + C
D.  ln  + C

Mathematics

Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].

A. 18; 180° B. 18; 270° C. 18; 90° D. 324; 270°

Mathematics