Solve the problem.Find the equation of the line normal to the curve  where x = 1.

A. -4e2x + y + 3e2 = 0
B. x + 4e2y - 4e4 - 1 = 0
C. x + 3e2y - 3e4 - 1 = 0
D. -x + 4e2y - 4e4 - 1 = 0


Answer: B

Mathematics

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Solve the system of equations. If there is no solution to the system, give a reason.  x + y + z = 10  x - y + 4z = 233x + y + z = 18

A. (5, 1, 4) B. (1, 4, 5) C. (4, 1, 5) D. (5, 4, 1)

Mathematics

Solve the problem.The polynomial  gives the predicted sales volume of a company, in millions of items, where x is the number of years from now. Determine the predicted sales 16 years from now.

A. 384.28 million B. 280.59 million C. 243.31 million D. 268.24 million

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Identify the equation without completing the square.3y2 - 2x + 2y = 0

A. ellipse B. parabola C. hyperbola D. circle

Mathematics

Solve.The space in a landfill decreases with time as given by the function F(t) = 290 - 30 log5 (4t + 1), where t is measured in years. How much space is left when t = 31?

A. 110 B. 380 C. 200 D. 210

Mathematics