### Maximum Value of a Function

Suppose that a projectile is fired at an angle of 45 degrees from the horizontal.... Please see attachment and show work.

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Suppose that a projectile is fired at an angle of 45 degrees from the horizontal.... Please see attachment and show work.

Let S ⊂ M. (a) Define the characteristic function Xs : M --> R. (b) If M is a metric space, show that Xs(x) is discontinuous at x if and only if x is a boundary point of S. [Please see attached PDF file for full problem]. for part (a), I think something similar to http://planetmath.org/encyclopedia/Characteristi

Find an equation of the line that is parallel to the line y = -x + 6 and that passes through the point (5,9).

Graph function and state domain and range 2 y=x -2x+1

Find vertex and intercepts for each parabola and sketch its graph y= -x^2 -3x-2

Please see attachment.

Please see the attached file for the fully formatted problem.

Please demonstrate one more example on how to write an equation for a line given the points on a graph.

Here I go again with slope. Find the slope of (1,3) and (7,-6)

Write and equation for the vertical and horizontal lines passing through the point (4,-4) in (x,y) coordinates. Please show the steps to help me understand how you accomplished this.

Sue owens her brother $8000 and agrees to pay $250 a month until it is paid off. Let A represent the amount owed(in dollars) and let N represent the number of payments made. Write an equation relating A to N and then graph your equation using the the Y axis as A with a scale of 1000 to 8000 and the x axis represents N with a s

Joe is saving money. He saves $50 in his piggy bank to start with and adds an additional $10 each month. Let A represent the total amount of money (in dollars) in the piggy bank and let N represent the number of months that Joe has been saving. Write an equation relating A to N and then graph the equation using the axis Y for

Kira owes $6125 and agrees to pay $175 a month until paid. Let A represent the amount owed (in dollars) and let N represent the number of payments made. Write an equation relating A to N then graph the equation. State the points being graphed.

Lisa is a software saleswoman. Lisa's monthly salary is $1700 plus an additional $90 for every copy of Math is Fun she sells. Let S represent Lisa's monthly salary (in dollars), and let N represent the number of copies of Math is Fun that she sold. Write an equation relating S to N, and then graph your equation using the axes

Please help with the attached Algebra assignment. I really need to understand these concepts and right now I do not.

Please see the attached file for the fully formatted problems. Let . Which value of t corresponds to an inflection point for f(t)? A. B. C. D. There is no inflection point.

For each point, name the quadrant in which it lies or the axis on which it lies. (0, pi)

Complete the given ordered pairs so tht each ordered pair satisfies the given equation X + 2y = 1: (0, ), (-2, ), (2, )

Easy pre-cal problems - I need to know formulas to solve - 2hrs.

Calculate the slope 4x=5y-2

Please provide graphs. 1. One example of an exponential function is f(x) = 4x. Its inverse can be found this way: y = 4x x = 4y x = log4y y = log4x An example of points to plot to create the graphs are given: F(x) F1(x) (1, 4) (4, 1) (0, 1) (1, 0) (2, 16) (16, 2) (-1, .25) (.25, -1) 3. For the exponential

Please help! I just need the answers. No free body diagram either. Thanks.

There are a couple of concepts I need clarification for: 1) If a set has no interior points, then is it necessarily closed? Isn't the empty set considered open? 2) If the graph of f: R -> R is connected, does it have to be continuous? In just Real -> Real aren't these definitions equivalent? Thanks.

Plot a graph for the linear equation in one variable: y=2 Thank you.

Assume that G does not equal K_2. K_2 is the complete 2-partite graph If G is regular of degree "r" and Kappa(G) = 1, prove that λ(G) <= [floor function of "r / 2" ] The floor function, also called the greatest integer function or integer value, gives the largest integer less than or equal to "r / 2." DEFN: the

Show that every n-connected graph has at least pn/2 edges.

Can you graph this Cayley Digraph in the attachment?

2. (2--6) Determine the intervals on which the function is decreasing and increasing and then find local minima and maxima. 3. 4. 5. 6. The graph of is located below the X-axis but it touches the -axis at . What can you say about the graph of ? Please see the attached file for the fully formatted problems.

Please see the attached file for the fully formatted problems. Make sure to show all work required.

Given f(x) = 5x2 - 3x + 1, find f(-2).