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Graphs and Functions

Observe the graph of the function

Graphs of functions representing electricity used and the path of a ball thrown up are given and questions related to the behavior of the functions are to be answered.

Forming Functions from verbal descriptions

A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land. a. express the total cost C as a function of x the distance downstream from the power station to the point where the

Graph Problem with Depth First Search and Breadth First Search

Let G = (V, E) be a connected and undirected graph, and u is a chosen vertex in V. Suppose starting from u, exactly the same tree T is obtained using either breadth first search or depth first search. Prove that G = T, where T is the BFS or DFS tree.

Transfer Functions

Obtain the transfer functions Y(s)/X(s) of the systems shown in Fig. 1 and Fig. 2 (see attached file). Please see the attached file for the fully formatted problems.

Transfer Function

Simplify the block diagram diagrams shown in Fig. 1 and Fig.2 (see attached file) and obtain the transfer function C(s)/ R(s). Please show steps. Thanks.

Consider the line...

(See attached file for full problem description with symbols and equations) --- Consider the line . Find the equation of the line that is parallel to this line and passes through the point . Find the equation of the line that is perpendicular to this line and passes through the point ---

Solve function for y

I need to solve this function for y...I don't know where to start because there are two y^2 z=x^2+4X^2y^2-y^2 Please show all steps.

Find the Domain and Find h(0) Given the Piecewise Function...

Find the domain of f(x). f(x) = [{(1)}/{radical (1-x)}] a) all positive real numbers b) all real numbers c) x >= 1 (greater than or equal to 1) d) x <= 1 (less than or equal to 1) e) x < 1 Find h(0) given the piecewise function h(x)={x if x <0 {x^2 +1 if x is greater than or equ

Solving and Graphing Inequalities (8 Problems)

Solve and graph the inequality : 3n is greater or equal -33 -7.2 is greater or equal x-4.6 2/5+h less tha 5/6 43is less or equal 4p-5 3/7x is greater than 9 16{1/4+m}less than 740 -1/4x +13 less or equal 27 8(2X-4)> -112 A rectangular parking lot has a perimeter of 249 m and a width of 38. What is the length of the

Applications of Lograrithmic Equations : The Viscosity (&#956;) of a Liquid

The viscosity of a liquid is a measure of its resistance to flow. Its value can be found experimentally by putting a quantity of liquid between two moving parallel plates and measuring the friction force on one plate. In such an experiment, values of the coefficient of viscosity of a lubricating oil were found at different tempe

Statistical Information

You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks: The following data was retrieved from It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002.


How do these graphs compare? y=x^2 & y = x2 - 4x - 5


For the function y = x2 - 4x - 5 How do I put the functionin the from of y = x2 - 4x - 5? and what would the line of symmetry be?

Differentiability, Bounded Above and Supremums

1. Let A and B be two nonempty sets of real numbers. Define A+B = {a+b: a belongs to A and b belongs to B}. (a) Show that if A is open, then A+B is open. (b) If A and B are both closed, is A+B closed? Justify your answer. 2. Let f be differentiable for x > a and A as x --> infinity. Prove that there is a sequence x_n --> infi

Graph and simultaneous equations

Accurately and neatly graph and label each of the equations and estimate the point of intersection of the two lines. Mathematically solve for the exact point of intersection of your two lines compare your mathematical solution with your graphical solution. Similar? Why? Not similar? Why or why not x + 2y = 14 4x - 2y = 18

Length of Polygonal Line Segments and Length of a Curve and Distance Formula

Find the total length of the polygonal line segments joining the points (xi, f(xi),i=0, 1,...,n, zwhere a= x0,x1,... xn=b is a regular partition of (a,b). use the indicated values for n (1) f(x) = sqrt x, a=0,b=4 (a) n=2, (b) n=4 (2) f(x) = sin^2 x, a=0, b= 2pi (a) n=2 (b) n=4 (c) n=8 (3) Use a y integration to find

Solve the following linear program using the graphical solution

(See attached file for full problem description with proper equations and diagrams) --- Graphical solution procedure Please help solve this linear problem in the attachment using the graphical solution procedure & graph the feasible region: Solve the following linear program using the graphical solution procedure: M

Directed Graphs, Vertices and Distinct Paths : Recall that R^3={(x,y,z):x,y,z(subset of R)}. Let G(V,E) be a directed graph, in which V= {(x,y,z)-(subset of R^3) :x,y,z(subset of R),-10<=x,y,z<=10}...

6. Recall that R^3={(x,y,z):x,y,z(subset of R)}. Let G(V,E) be a directed graph, in which V= {(x,y,z)-(subset of R^3) :x,y,z(subset of R),-10<=x,y,z<=10}. Suppose that for any vertex, v=(x,y,z)--[subset of V], the only edges originating at v are the ones joining v to (x+1,y,z),(x,y+1,z),(x,y,z+1) . i.e. any path that originate