Find the indicated root of the given equation by using Newton's method.2x4 - 3x2 - 7x + 1 = 0 (the larger positive root)
A. 1.8111272
B. 1.8111097
C. 1.8111020
D. 1.8111239
Answer: C
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Use the properties of logarithms to evaluate the expression.ln e8
A. e8 B. 8 ln e C. 1 D. 8
Find the asymptotes of the hyperbola.y2 - x2 - 8y + 10x - 58 = 0
A. y = 
x, y = - 
x
B. y - 4 = 
(x - 5), y - 4 = - 
(x - 5)
C. y - 4 = 7(x - 5), y - 4 = -7(x - 5)
D. y - 4 = x - 5, y - 4 = -(x - 5)
Choose a reasonable method for solving the equation. Round your answers to three decimal places.
A) x = 2.852, x = -2.852
B) x = 2.852, x = -2.704
C) x = 2.704, x = -2.852
D) x = 1.426, x = -1.426
E) no real-number solution
Solve the problem.A zoom lens in a camera makes a rectangular image on the film that is 7 cm × 4 cm. As the lens zooms in and out, the size of the image changes. Find the rate at which the area of the image begins to change (dA/df) if the length of the frame changes at 0.5cm/s and the width of the frame changes at 0.3 cm/s.
A. 4.7 m2/s
B. 
m2/2
C. 4.1 m2/s
D. 1.025 m2/s