Evaluate the integral using the given substitution.
dy , u = y6 + 3y3 + 2
A. 
(y6 + 3y3 + 2)4 + C
B. 
(y6 + 3y3 + 2)4(10y4 + 6y) + C
C. 
(y6 + 3y3 + 2)4 + C
D. 21(y6 + 3y3 + 2)2 + C
Answer: C
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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = 1 + 
, y(4) = -1, dx = 0.5
A. y1 = -1.2500, y2 = -0.3889, y3 = 1.1444 B. y1 = -1.2500, y2 = -0.2917, y3 = 0.5722 C. y1 = -0.9375, y2 = -0.2333, y3 = 0.3433 D. y1 = -0.6250, y2 = -0.1944, y3 = 0.2861
Solve the problem.The hyperbola 
- 
= 1 is shifted horizontally and vertically to obtain the hyperbola
- 
= 1Find the foci of the new hyperbola.
A. (-1, -13), (-1, 11) B. (-13, -1), (11, -1) C. (-1, 19), (-1, -21) D. (-1, -21), (-1, 19)
Factor, if possible.x3 - 64
A. (x + 4)(x2 - 4x + 16) B. (x - 4)(x2 + 4x + 16) C. (x + 64)(x2 - 1) D. (x - 4)(x2 + 16)
This global organization, based in Geneva, is responsible for establishing trade rules in the global environment.
A. European Commission (EC) B. World Trade Organization (WTO) C. Federal Trade Administration (FTA) D. Food and Drug Administration (FDA)