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For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent,"
Determine whether each table expresses the second variable as a function of the first variable.
Let n be a given positive integer, and let r and s be nonnegative integers such that r+s=n and s is even . Show that there exists a graph G of order n
Find an equation of the tangent plane to the parametric surface x = 5rcos(theta), y = 3rsin(theta), z = rat the point (5sqrt(2), 3 sqrt(2), 2) where r = 2
Find a real life application of a straight line (not a line graph, but a graph that is a straight line). There are several in the book and on the web.
Suppose that f is an positive-valued, increasing function on the interval from x = 0 to x = 4, and that we use the method of rectangles to approximate the area
Find the equation of the line through each given pair of points. Write the answer in standard form using only intergers.
Write each equation in slope - intercept form.
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 10 in. by 17 in. by cutting equal squares
For the set of scores calculate the requested values. Scores: 2 5 3 6 4
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign
When crude oil flows from a well, water is frequently mixed with it in an emulsion. To remove the water the crude oil is piped to a device called a heater-treat
Plot the graph of the equations 2x - 3y = 6 and 2x + y = -10 and interpret the result.
The solutions of line m are (3,3),(5,5),(15,15),(34,34),(678,678), and (1234,1234).
Line 1 is described by the equation 3y-2x = -3. Line 2 goes through the origin and intersects line 1 at x =6. What equation describes line 2?
Given f(x) = 2/(x-1) use the four step process to find a slope-predictor function m (x). Then write an equation for the line tangent to the curve at the point x
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
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.
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
Graph each absolute value function and state its domain and range.
Determine whether the graph of the parabola opens upward or downward.
Finding domain & range on below: Finding domain & range on below:
Find a value for C so that f(x) is continuous for all of x