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Given the following two linear equations, determine whether the line are parallel, perpendicular, or neither.
6x+7y=42
7x=16+6y
What is the equation of a line though the point (-5,-2) that is perpendicular to the x-axis. What is the slope?
You invest $5000 in two stocks. In one year, the value of stock A increases by 9.8% and the value of stock B increases by 6.2%. The total value of the stocks is now $5389.20. How much did you originally invest in each stock?
During the first year of the agreement, Joe entered into a contract to star in a film being made by Pretty Pictures. Does Frère Bros have any remedy?
Y"+2y'+10y=6sin2x is the mathmatical model for a mechanical vibrating system. The steady state solution is? a) z=C1e^-xcos3x+C2e^-xsin3x b)z=C1e^-xcos3x+C2e^-xsin3x-12cos2x+18sin2x c) z=18sin2x-12cos2x d)z=3sin2x+2cos2x e) none of the above
By the Mean Value Theorem, we know there exists a c in the open interval (-20) such that f(c) is equal to this mean slope. Find the value of c in the interval which works.
Solve the equation for y as a function of x , and find dy/dx from that equation. Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
(a) Find the points on the graph of f where the slope of the tangent line is equal to 12.
Draw the Hasse diagram for the poset consisting of the set of the 16 Boolean functions of degree two with the partial ordering =.
For the factoring problem, be sure you show all steps to the factoring and solving. Show a check of your solutions back into the original equation.
a projectile is fired straight up with an initial velocity of 80 feet per second. Its height in feet after t seconds is s = -16t^2 + 80t. During what time period will the projectile be above 96 feet?
A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
At a price of $1.94 per bushel, the supply of corn is 9800 million bushels and the demand is 9300 million bushels. At a price of $1.82 per bushel the supply is 9400 million bushels and the demand is 9500 million bushels.
The Tower of Hanoi A popular puzzle of the late nineteenth century invented by the French mathematician Édouard Lucas, called the Tower of Hanoi.
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