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Graphs and Functions

Standard form of the equation of the circle and graph.

Write the standard form of the equation of the circle and graph: 1. With r = 3 and tangent both axes in Q1. 2. With C (-1, -3) and passing through (-2, 0). 3. With points (2, 5) and (6, -1) as ends of a diameter. 4. With C (0, 0) and touching the line 3x + 4y = 10.

Functions and their graphs

1. f(x)= 2x+5 if -3 <= X <0 -3 if x=0 -5x if x>0 a. Find the domain of each function. b. Locate any intercepts. c. Graph each function d.Based on the graph find the range. e. Is f continuous on its domain? 2. If f(x)= int(x/2) Find, (a) f(1.2) (b) f(1.

Excel help: Pleas help with attached problem.

(a)Use an excel spreadsheet with the data provided activity time (sec) 4022 38.6 3424 77.0 2613 113.8 2158 152.6 1590 188.9 1337 228.6 940 269.7 prepare a graph of activity vs. seconds. Use a trend line to produce the best exponential line through the points. (b) Use the excel spreadsheet again wi

Functions and their graphs

1. f(x)=X3-3X2+5 (-1,3) I need to find local Maxima and Local Minima for this Question. Also determine where the function is increasing and where it is decreasing. round answer to two decimal places. 2. g(x)= X2+1 (a) Find the average rate of change from -1 to 2. (b) Find an equation of the secant line containing

Linear Programming: Maximize

Consider the following linear programming problem Max 8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X + Y < 8 X, Y &#61619; 0 a. Use a graph to show each constraint and the feasible region. b. Identify the optimal solution point on your graph. What are the values of X and Y

Considering the Various Functions

Consider the function f(x) = 3x^2-5x+7 (a) What is f(4)? (b) What is f(a+2)? (c) What is f(x+h)? (d) What is f(x+h)-f(x)? (e) What is (f(x+h) â?" f(x))/h? (f) What is lim as h approaches 0 of (f(x+h) â?" f(x))/h? (g) What is f prime of (x).

Assessing Rouche's Theorem

Use Rouche's Theorem to determine the number of zeros, counting multiplicities, of the polynomials inside the given regions. a) z^4 + 3z^3 + 6 inside the circle |z| = 2 b) 2z^5 - 6z^2 + z + 1 in the annulus 1 <= |z| < 2 Thanks

Graph the function f(x) over the given interval.

Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum (attached), using the indicated point in the kth subinterval for ck. f(x) = x2 - 3, [0, 8], midpoint (Graph is also attached) Answer Options:

Geometry problems with area and volume

1. Find the area of the triangle. 2. There is a shaded triangular prism 6in x 8in x 11in with a rectangle solid 3in x 4in x 11in not shaded. Find the volume of the shaded area. 3. Given the graph, name an edge that is a bridge, if any. 4. Find the area in meters of a trapezoid with a height of 4 m and bases of 8 m and

Interpreting Function's Graph: Example Problems

Please see attached for function's graph. 1. Given the information on the graph, answer the following questions: i. Explain why f represents the graph of a function. ii. Use the graph to find a reasonable estimate of f (- 2). iii. What is the domain of f? iv. What is the range of f? 2. Given f(x) = 8x - 2 and g(x) =

Description of Average Value

Use a finite sum to find the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals. Show all work! f(x) = 5 + sin (Pi)x on [0, 2] divided into 4 subintervals

Graphing Line Containing Pairs

I'm having a problem graphing. Please help! 1. Find the slope of the line containing the given pair of points. If the slope is undefined, state so... 2. Find the intercepts for the equation... 3. Determine the x- and y-intercepts of the given equation. Show your work. Then plot the intercepts, and graph the line... 4. Determ

MAT101 - College Mathematics (Graphs & Functions)

Need help to describe in words the graph of each of these curves below. Include in the description of the shape, along with other possible relevant information such as length, width, and center points. a. Y = 3X^2 b. (X-1)^2 + (Y-8)^2 = 16 c. (X+2)^2 + (Y-4)^2 = 36 d. Y = X^2 + X Need assisting in finding the

Increase in number of micrograms of epinephrine

Estimate the answer from the table or graph. The following graph shows the number of micrograms of Epinephrine in a person's bloodstream after being injected from 2 minutes to 5 minutes. [see attachment] Estimate the increase in the number of micrograms of Epinephrine in a person's bloodstream from 2.5 minutes to

properties of parallel lines

1. In the figure, AB || CD . m(<BAE) = 43°. Given this information, find the measures of as many other angles as possible. 2. Find the slope and intercepts of the line. 9x + 2y = 49 3. Find the image of the given figure under a reflection across the mirror line m.

Graphs of equations and identities

Graph the equations y>-2 x> 4 graph x+2y-4 graph and identify y+x=-2 what is the y- intercept solve the solution 7x-5y=-35 5y-7x=35 What is the solution of the system? Is it consistent or inconsistent? Are they dependent or independent?

Objective function calculations

A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup of their special blend that they sell. Develop an objective that maximizes profit.

construct a circle graph

Online travel websites A sample of 500 travelers who used the internet to book a trip were asked to which travel website they used. There responses are given in the table below. Use this information to construct a circle graph illustrating the percent of people who gave each response. Online travel website

Show that any constant function is measurable

Using the definition of a measurable function, show that any constant function is measurable. definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.

Stem and Leaf Plot for Oil Usage

The table below shows the number of gallons of heating oil delivered to a residential customer each December from 1986 to 1993. Year 1986 1987 1988 1989 1990 1991 1992 1993 Gallons of oil 42 61 53 59 53 51 75 100 Make a stem-and - leaf plot of the data Find the mean,median, and mode of the d

sequence of continuously differentiable functions

Prove that if {f_n:R&#8594;R} is a sequence of continuously differentiable functions such that the sequence of derivatives {f_n^':R&#8594;R} is uniformly convergent and the sequence {f_n (0)} is also convergent, then {f_n:R&#8594;R} is pointwise convergent. Is the assumption that the sequence {f_n (0)} converges necessary? Pl

Graphing Functions: Example Problems

Y = 2x - 1 - y = (-3/4)x + 5 - y = x2 - 4 - y = -3x2 - 6x - 5 Label each axis and all intercepts. When I try to complete the problem and graph my line is not straight so I am doing something wrong. For the first problems I got (.5,0) and (0,-1). I need help with the steps.

Graphs

Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life. An example might be a graph of your personal spending habits throughout the year, or the amount of time you spend watching TV each day of the week. Describe this graph in words and provide a co

Graphing: key information

When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time, t in seconds, where "v" is the initial velocity (speed) in meters/sec and "k" is the initial height in meters (as if you were on top of a tower or building). Make up a scenario wh

Profit Maximization

If total cost function and demand function are as under, TC = 10,000 + 100Q + 0.02Q^2 Qd =20,000 - 100 P how do I determine the short-run profit maximizing price and quantity? How do I determine the maximum profit accruable to the firm ?

slope of the line problems

1) How can the graph of f(x) = -(x -1 )2 be obtained from the graph of y = x2? A) Shift it horizontally 1 units to the right. Reflect it across the x-axis. B) Shift it horizontally 1 units to the left. Reflect it across the x-axis.. C) Shift it horizontally 1 units to the right. Reflect it across the y-axis. D) Shift it hor