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Explain why this is no good as a definition of continuity at a point a (either by giving an example of a continuous function that does not satisfy
Recall that a point z0 is an accumulation point of a set S if each deleted neighborhood of z0 contains at least one point in S.
Find an example online of a graph used in real life. Please provide the link to the web page by using the link button in the editor.
Annual profit in thousands of dollars is given by the function, P(x) = 100*sqrt(x - 5) + 3000, where x is the number of items sold
Verify that 18^3 - 1^3 = 17 ¢ 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
Find the critical points of the following functions and determine whether they are local maximums, minimums or otherwise using the second derivative test
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverse of each other:
Describe what this x-coordinate means in practical terms. Choose the correct answer below.
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system
Graph both linear equations in the same rectangular coordinate system. Decide if the lines are parallel, perpendicular or neither parallel nor perpendicular:
Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10.
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x) <= g(x)
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches
The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring
The table shows the retail market share of passenger cars from Ford Motor Company as a percent of the US market.
Use the following graph of a function f to determine x or y to the nearest integer as indicated.
Let P be the set of patients in a hospital, let D be the set of doctors on the hospital staff, and N be the set of nurses on the hospital staff.
Consider the linear system x' = Ax, where A is a n x n real matrix. If x = x(t) is a solution of the linear system, we define:
ext, scour the Internet (or if you are feeling particularly plucky, look through your company's annual report!) to find an example of a poorly
The objective of this activity is to identify graphs of functions. Select one of the graphs (A-J) and identify the correct equation (1-10)
Under what condition would the zeros of the given function be two distinct real values?
A student will find a problem graphing the line using any two points, with the intercepts being the most obvious.
Find the gradient of the function f : x^2y/ z at the point M(-2;3;4). What is the directional derivative of this function in the direction of vector
Identify whether the slope is positive, negative, zero, or undefined.
Solve each equation by using the quadratic formula (what is this quadratic formula)