Identify the equation without applying a rotation of axes.x2 + 12xy + 36y2 - 4x + 4y - 2 = 0
A. ellipse
B. parabola
C. hyperbola
D. not a conic
Answer: B
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Factor by grouping.8x2 + 10x + 12x + 15
A. (2x + 3)(4x + 5) B. (2x - 3)(4x - 5) C. (8x - 3)(x - 5) D. (8x + 3)(x + 5)
Solve the quadratic equation using the quadratic formula.x2 + 18x + 67 = 0
A. {9 + 
}
B. {-9 - 
, -9 + 
}
C. {-18 + 
}
D. {9 - 
, 9 + 
}
Solve.While traveling in a car, the centrifugal force a passenger experiences as the car drives in a circle varies jointly as the mass of the passenger and the square of the speed of the car. If the a passenger experiences a force of 518.4 newtons when the car is moving at a speed of 80 kilometers per hour and the passenger has a mass of 90 kilograms, find the force a passenger experiences when the car is moving at 60 kilometers per hour and the passenger has a mass of 100 kilograms.
A. 360 newtons B. 288 newtons C. 396 newtons D. 324 newtons
Use integration by parts to find the integral.
e2xdx
A. (x - 5)e2x - e2x + C
B. 
(x - 5)e2x + 
e2x + C
C. 
(x - 5)e2x - 
e2x + C
D. 2(x - 5)e2x - 4 e2x + C