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What is the maximum area that the farmer can enclose with 80 ft of fence? What should the dimension of the garden be to give this area?
Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
Find an equation of the line containing the given pair of points.
Prove that if f is continuous and strictly positive on [a,b] and F(x)=ax?f then F is strictly increasing on [a,b]. (The phrase "strictly increaing" means that x
Graph the constraints as when finding the feasible region.Can you find a solution that maximizes taxpayer satisfaction? Why or why not?
What is the solution of the system? Type an ordered pair
Eigenvalue and eigenvector of matrix.Find all the eigenvalues and corresponding eigenvectors of the matrix
Identify and graph the conic. The rewrite it in Cartesian coordinates.
Prove that if f is an increasing real-valued function on an open interval (a, b), then, for all but at most countably many points c in (a, b), Lim_(x-->c) f(x)
Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3.
Add proper constant to each binomial so that the resulting trinomial is a perfect square then factor the trinomial.
When he averages 40 mph, he arrives at his workplace 3 minutes late, but when he averages 60 mph he arrives at his workplace 3 minutes early.
If the demand for oil is currently 50 billion barrels per year, how much will be consumed in the next 10 years?
Find the cost per ounce of each of the following sets of products, and tell which one is the better buy for each pair.
Solve using the multiplication principle. Don't forget to perform a check. Solve using the multiplication principle.
The natural length of a spring is 10 cm. A force of 25 N stretches it to a length of 20cm. How much work, in units of N-cm, is done in stretching it
Linear equation and system of equations.Decide whether the pair of lines is parallel, perpendicular, or neither.
Graph each absolute value function and state its domain and range.
Determine whether the graph of the parabola opens upward or downward.
The ball reaches the greatest height on its trajectory, 35 feet, directly above the head of the left fielder, who is 200ft from home plate.
Find the equation of the parabola after inserting an xy coordinate system with the vertex at the origin, the y axis (pointing upward) the axis of the parabola.
Finding domain & range on below: Finding domain & range on below:
Steve has just returned from salmon fishing. He was lucky on this trip and brought home two salmon. Steve's wife, Wendy disapproves of fishing.
Determine graphically the solution set for each system of inequalities and indicate whether the solution set is bound or unbounded.
Find a value for C so that f(x) is continuous for all of x