Provide an appropriate response.Find equations for the tangent lines to the curves y = tan 2x and y = -tan(x/2) at the origin. How are the tangent lines related?
What will be an ideal response?
y = 2x and y = - x; The tangent lines are perpendicular.
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Solve the system. 3x - y = 12 2y + z = 15x + 4z = 41
A. (-5, -3, -9) B. (z + 12, -z + 15, z) C. (5, 3, 9) D. No solution
Solve the problem.The revenue achieved by selling x graphing calculators is figured to be The cost of each calculator is
How many graphing calculators must be sold to make a profit (revenue - cost) of at least $40.80?
A. {x ? 6 < x < 34} B. {x ? -4 < x < 24} C. {x ? 8 < x < 32} D. {x ? 7 < x < 5}
Solve the problem.How long would it take to drive 400 kilometers if your average rate of speed was 50 kilometers per hour? Use the formula d = rt.
A. 45 hr B. 9 hr C. 8 hr D. 200 hr
Solve the problem.An aircraft going from Atlanta to Savannah on a heading of 105° (from north) is travelling at a speed of 530 miles per hour. The wind is out of the north at a speed of 23 miles per hour. Find the actual speed and direction of the aircraft.
A. 528 miles per hour; 107° from north B. 525 miles per hour; 107° from north C. 746 miles per hour; 107° from north D. 536 miles per hour; 107° from north