### Graphs and Functions

Please see the attached file for the fully formatted problems. A. Graph B. Graph C. The domain of the graph at below is D. The graph at right, represents a function a. True b. False

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Please see the attached file for the fully formatted problems. A. Graph B. Graph C. The domain of the graph at below is D. The graph at right, represents a function a. True b. False

Determine the correct half-plane in each case, and complete the graph. 8. y > 3 Graph each of the following inequalities. 16. 4x + y 4 28. 3x - 4y < 12 38. Number problems. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins

Please assist with the attached file.

Y = x^2 + x - 6

y = (x+3)^2 - 2 Plot the vertex and four additional points, two on each side of the vertex. Please indicate points plotted as sometimes the graph is hard to read.

Quadratic Equations Solving an equation with exponent using the even-root property. Solve (w + 5)^2 - 36 = 0 where x is a real number. Simplify the answer as much as possible.

Find the length of the graph of y=1/3(x^3/2-x^1/2 from (1,-2/3) to (4,2/3)

Find the polar coordinates of the following point. 4). ( -sqrt(3) /2 , 1 ) A). ( 2, 5pi/6 ) B). ( 2, pi/6 ) C).

Please see attached file.

16. Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4). 20. on page 626 27. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (_3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is parallel to

28. x + y = 18 24. 3x _ 4y _ 12 (0, ) (0, ), , ( , 0), 26. y=2x + 5 (0, ), ( , 5),( ), ( , 1) 28. x + y = 18 Give the coordinates of the points graphed below ( I couldn't load the graph, but it wanted o show the points) 2. B 4. D 23.Plot points with coordinates (2, 3), (3, 4), and (4, 5) on the given gr

See attached file for system. Using the bilinear transformation and Routh's Stability Criterion find the range of value of the gain for the system remains stable. Any help is very much appreciated.

The labor cost in dollars for manufacturing a precision camera can be approximated by f(x,y)=3/2x^2+y^2-2x-2y-2xy+68 Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor

1) The graph of x - 2y = 2 is: 2) What is the slope to the response in question #1?

The graph of the solution to 3x - 1 > 5 or 2 < x - 1 is, also please show brackets and parentheses in answer when applicable.

The graph of 3 < x ≤ 5 is, also please show appropriate parentheses and bracket symbol if applicable in answer.

The graph of the solution to -4x + 2 < -2x is, please show graph.

If P 9(x) = 3x⁴ - 2x³ - x² + 1, then P(-2) =

Determine the value of k that will make the given equation have exactly one rational solution: 2x^2 = kx - 2

Work out which value of k can make it so that the following equation has just one rational solution: 5x^2 + kx + 5 = 0

Consider the forward-loop transfer function in the sampled-data system as: (a) Determine the corresponding z -transform G(z) and the characteristic equation for this system. (b) Using the bilinear transformation and Routh's Stability Criterion, determine the range of K for stability when the sampling time T = 0.25 s. (c) C

Let G be a cubic plane graph. Prove that the map M(G) is 3-colourable iff each country has an even number of sides. note: if we omit the vertices and edges of a plane graph G from the plane, the remainder falls into connected components, called "faces." Clearly each plane graph has exactly one unbounded face. The boundary

Show that a planar map M = M(G) can be 2 colored iff every vertex of G has even degree. [The map M(G) of a graph G is the collection of its faces, which are to be colored so that no adjacent faces have the same color.] [hint: if every vertex of G has even degree then G is a union of edge-disjoint cycles. for another solut

Connectivity and edge-connectivity are equal for cubic graphs. Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity

A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime. where "x" is the cartesian product

Graph the parabola 1/3 x^2 + 10/3 x + 28/3 = 0 Plot the vertex and four additional points, two on each side of the vertex.

A factory begins emitting particulate matter into the atmosphere at 8 am each workday, with the emissions continuing until 4 pm. The level of pollutants, P(t), measured by a monitoring station 1/2 mile away is approximated as follows, where t represents the number of hours since 8 am: p(t)= 75t + 100 if 0 is les

1. Let be a differentiable function such that (0) = 0 and for all . a) Show that is strictly monotone and therefore its inverse exists. b) Assume that exists. Compute Please see the attached file for the fully formatted problems.

Find the function value of sec ( -5/4 ) using coordinates of points on the unit circle. A). B). - / 2 C). - D). / 2 [show the steps in completing this problem]

Please see the attached file for the fully formatted problems. Determine the area between f(x) = 2x and on the domain determined by the points where the graphs of the functions cross. a. 0.1111 b. 1.0125 c. 1.6667 d. 1.3333 Find the function whose tangent line has the slope for each value of x, and whose grap