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Please answer the following equation
Q1.) Discuss the continuity of the function g(x) = (x^2-1) / (x-1).
Q2.) For the function f(x) = x^2 - 6x + 8a) Use the Intermediate Value Theorem to show that the function has a zero on the interval [0, 3]. b) Find the value of "c" guaranteed by the theorem such that f (c) = 0.
Q3.) Write a rational function with vertical asymptotes at x = 6 and x = -2 and with a zero at x = 3.
what is the maximum length of the triangular flags, if they want to use a maximum of 180 square inches of cloth?
You invested 10,000 in two accounts paying 8% and 10% annual interest. At the end of the year, the total interest from these investments was $940. How much was invested at each rate.
a company is researching the effectiveness of a new website design to decrease the time to access a website. five
Suppose that η : R^n→ R^n is a Lipschitz function with Lipschitz constant αband 0≤α
An entrepreneur has the following cost and revenue functions: TC = 30 + 3Q and TR = 4Q. calculate the equilibrium quantity algebraically and graphically at the break-even point.
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.
The formula d = , where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
Find the expression for the velocity of the object.
you invested a total of $10,000 at 4.5% and 5.5% simple interest. During one year, the two accounts earned you a total of $508.75. How much simple interest in each?
How many subsets does [n] have that contain at least one of the elements 1 and 2?
In scholarship interviews, a famous question asked is: How many trees are there in the world? Simply reporting an answer will not be credited: you must give a detailed solution supporting your answer.
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