Distance from a Point to a Line
What is the distance from the point (6,6) to the line y = 2x + 4? Make sure to show all work.
What is the distance from the point (6,6) to the line y = 2x + 4? Make sure to show all work.
Please answer the following two questions: 1. Find the equation of the line through the point (-1, 3), having a slope equal to 3/7. 2. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5. Make sure to show all of your work.
Attached is an R chart in Excel. Plastics food containers that can be baked in ovens must be able to withstand certain temperatures without melting. One such container, which is 4 inches deep, is designed for use at oven temperatures of 325°F. To monitor the quality of these containers, a subgroup of 5 finished containers i
In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: Fahrenheit
Sketching Functions. Only circled questions. See attached file for full problem description.
Functions. Circled questions only. See attached file for full problem description.
1. Find the slope of the line 2x + y = 4. 2. Find the point of intersection of the lines x + y = 5 and 3x - y = 7. Graph the pair of lines.
1.For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel nor perpendicular. 3x + 4y + 5 = 0 and y = - 3 4 x - 54 . x = 2 and y = p
1.) An edge of a graph "G" is a bridge of "G" If and only if there exist vertices "U" and "W" such that "e" is on every U - W path of "G". 2.) A graph "G" of order at least 3 is Non Separable if and only if there exist two internally disjoint U - V paths for every two distinct vertices "U" and "V" of "G".
Find a value of k so that the angle between the line 4x + ky = 20 and the line 2x - 3y = -6 is 45 degrees.
Please see the attached file for the fully formatted problems. 1) Determine if b is a linear combination of , . 2) List five vectors in span { }. For each vector, show the weights on used to generate the vector and list the three entries of the vector. Do not make a sketch. a) b) 3) Let For what
Please see the attached file for the fully formatted problems. keywords: differentiability continuity
Let f(x,y)=((x^(2)y^(2))/(x^(2)+y^(2))), classify the behavior of f near the critical point (0,0).
Given the graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. See attached file for full problem description.
2. Find a vector equation and parametric equations for the line. 3. The line through the point (?2, 4, 10) and parallel to the vector (3, 1, ?8) Find parametric equations and symmetric equations for the line. 8. The line through the points (6, 1, ?3) and (2, 4, 5) 11. The line through (1, ?1, 1) and parallel to the line x +
The chemical retardants are freight shipped from a warehouse. A shipping crate that weights 450 kilograms is placed on a loading ramp that makes an angle of 30 degrees with the horizontal. Find the magnitude of the components of the crate's weight perpendicular and parallel to the incline.
A rectangular storage unit has dimensions 1m by 2m by 3m. If each linear dimension is increased by the same amount. a) What increase would result in a new storage unit with a volume 10 times the original? b) How many possible solutions are there to this problem? Explain the answer. c) Sketch the graph of the informatio
Graph each function using Microsoft Excel and state its domain and range. g(x) = x+2
A non - trivial graph g is called irregular, if no two vertices of g have the same degrees. Prove that no graph is irregular.
F(x)=x^2+2x-6 X(1)=2 and x(2)=-1 I have to find the secant line of this graph but can not remember how to find the points to graph the equation
Find the vertex and intercepts for each parabola. Graph using Microsoft Excel. g(x) = x^2 + x - 6
Determine if the parabola for the equation, y = -2x^2 - 4x + 6, opens upward or downward. Find the vertex, x-intercepts, and y-intercept without graphing. keywords: concave, concae-up, concave-down
Graph each function and state the domain and range. Please graph using excel. y=|x-2|
Using the formula A=P(1 + r/n)^(nt), let r=8%, P=1, and n=1, and give the coordinates (t,A) for the points where t=0, 1, 2, 3, 4. Round your answer to the 100th place. How do you graph this? I am confused.
Please see the attached file for the fully formatted problems. keywords : find, finding, calculating, calculate, determine, determining, verify, verifying, evaluate, evaluating, calculate, calculating, prove, proving keywords: integration, integrates, integrals, integrating, double, triple, multiple
Sketch the region bounded by the graphs of the functions and find the area of the region. f(x) = sin(x), g(x) = cos(2x), -pi/2 <= x <= pi/6 (a) Use a graphing utility to graph the region bounded by the graphs of the equations, (b) find the area of the region and (c) use the integration capabilities of the graphing utility
Sketch the region bounded by the graph of the algebraic function. 20. f(x) = -x^2 + 4x + 1, g(x) = x + 1 22. f(x) = -x^2 + 4x + 2, g(x) = x + 2 24. y = 1/(x^2), y = 0, x = 1, x = 5 26. f(x) = 1*sqrt(x - 1), g(x) = x - 1 28. f(x) = y(2 - y), g(y) = -y 30. f(y) = y/(sqrt(16 - y^2)), g(y) = 0, y = 3 32. g(x) = 4/(2 - x),
Determine where the function f(x)= x + [|x^2|] - [|x|] is continuous. I think the correct answer is that the function is continuous for its domain but not defined at x=0. Can someone explain this problem to me and help me understand the greatest integer and absolute value functions? keywords: continuity
Analyze and sketch a graph of the function. Label any intercepts, relative extreme, points of inflection and asymptotes. Use graphing utility to verify your result.
Find the points of inflection and discuss the concavity of the graph of the function. See attached file for full problem description.