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Graphs and Functions

Equation of a Tangent Line

Write an eq. of the line tangent to the curve y = (5/x2) - (2/x3) at the point P(-1,7)? Express in ax+by=c form.

Graph the parabola

Please assist with the attached problem. y = -1/4x^2 + x - 6 Identify the vertex and four additional points on each side of the vertex

Find the slope and y-intercept

Please see attached file. Name: __________________________ Date: _____________ 1. Find the slope and y-intercept. x = -7 A) Slope: undefined; y-intercept: (0, -7) B) Slope: 0; y-intercept: none C) Slope: undefined; y-intercept: none D) Slope: 0; y-intercept: (0, -7) 2. Match the graph with one of the equation

Find the slope of any line perpendicular to the line through points

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

Forward Loop Transfer Function

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

Graphs : Coloring Maps

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

Intepreting Data and Piecewise Functions

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 less tha

Graphs : Chromatic Number

Show that the chromatic number of G_1 + G_2 isX(G_1) + X(G_2) for any two graphs G_1 and G_2. Where X(G)is the Chromatic Number. defn: X(G) a proper colouring or simply a colouring of the vertices of G is an assignment of colours to the vertices in such a way that adjacent vertices have distinct colours; X(G) is then the mi

Evans Price Adjustment Model : Supply and Demand Functions

Qn1)The Evans Price Adjustment model is a dynamic model in which price p denote the price of a particular commodity, S(p) and D(p) denote the supply and demand functions of that commodity respectively. These 3 parameters are regarded as function of time t. The time rate of change of price is assumed to be proportional to the sho

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.

Lines Parallel To y=-x+6

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

Vertical and Horizontal

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.

An Assortment of Basic Statisitics and Graphing Problems

Problem #'s 14, 18, 20, 24, 36 these I need help completing Find the median of each set of numbers. 14. 1, 4, 9, 15, 25, 36 Find the mode of each set of numbers. 18. 41, 43, 56, 67, 69, 72 20. 9, 8, 10, 9, 9, 10, 8 24. Statistics. A salesperson drove 238, 159, 87, 163, and 198 miles (mi

At a large pharmacy, first you wait at the line for giving your order.

Dear OTA, Please help with steps Thanks 1. At a large pharmacy, first you wait at the line for giving your order. Most of the time (80% of the time) the pharmacist has your drugs ready in 2 minutes. But 20 percent of the time, the pharmacist needs additional time to prepare the drug, and she spends 8 minutes for your

Applications of Linear Equations

Problems #'s 8, 16, 28, 38 these I need help completing Hint: (in order to draw points and lines on the graph I use Paint) Click on it and copy/paste it into an open Paint file 1. Click on the spray-paint icon and then choose the smallest splotch (there were three sizes 2. After you plot the points then paste again

Graphs and Linear Equations

Section 3.1 Use the given equation to find the missing coordinates in the following tables: 34. X Y -2 0 2 -3 -7 Graph each equation. Plot at least five points for each equation. Use graph paper. See Examples 3.5. If you have a graphing calculator, use it to check your graphs when possible.

Equations and Graphing problems

Please show work so that I may understand. Thank you. 1.) Solve the equation x + 0.04x = 9600 2.) Solve the inequality (1/6) x - 1 ≤ 4 + (1/3) x. Express answer in both graphical and interval notation form. Find the missing coordinates y = -x + 4 x y -2 0 2 0 -2 3.) Plot

Graphing and Functions

1. Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged. Denote C for number of cups and P for price. Assume the function is linear. 2. Write an equation for f(x) based on x -2,


I am having trouble understanding the sign of the discriminant in quadratic equations. I'm confused. See attached for my full problem.

Slope-Intercept Form

Please show work so that I can understand how you arrive at your answer. Thank you. 1.) Write the equation in slope intercept form y + 2 = - 6(x-1) 2.) Determine the equation of each line. Write the answer in slope intercept form. The line through (4,0) that is perpendicular to the line x + y = 3 Solve

Outerplanar and Bipartite Graphs

A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. A graph G is outerplanar iff G + K_1 is planar. Note:A bipartite graph (i.e., a set of graph vertices decomposed into two disjoint sets such that no two graph vertices within the same set are adjacent

Graphs and the Time Value of Money

Please take this real-life situation: I currently have a CD investment accounts in the Dominican Republic. I invested $10,000 ($M) in The Central Bank of the Dominican Republic. This investment account produced a simple annual interest of 10% (R) for me. I plan to leave my money in this investment account for (X) amount of year