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1. Explain what synthetic division is. Illustrate with example. In synthetic division, what relationship does the divisor and remainder have to the original polynomial function, according to the Remainder Theorem?
2. What general characteristics for the graph of any polynomial function can be found by looking at its equation? What can you tell about the graph of a polynomial function by examining the leading coefficient? (Assume the polynomial is arranged in descending order.) What can you tell about the graph of a polynomial function by examining its highest power?
3. Finding the roots to non quadratic equations has always been a challenge. How are the roots, and where the graph crosses the x-axis, related to each other? Illustrate with example.
Graphs translations
What is an adhesion railroad?
Show that an equation of the tangent to C at P is y = 2x - 2 √2 + In(3+ 2√2). The tangent to C at the point Q is parallel to the tangent to Cat P.
In your own words, define the word "function." Explain why your example models a function. This is extremely important for your learning.
If all of the tickets are sold, receipts from the $5.00 tickets will be $50.00 less than those from the $2.00 tickets. How many $5.00 tickets were printed?
A) Find domain B) x and y intercepts C)horizontal and vertical asymptotes E) increase and decrease F) concavity and G) points of inflection. Solve the following using row reduction.
discuss how the definitions of directional derivative from calculus and dot product also called the inner product can
Explain why there are usually two solutions in quadratic equations? Please also share an example of a non-linear equation applied to a real life problem?
The revenue of Theta Corporation is given as R=15x, where x is the number of units produced (in thousands). If the cost is how many units will have to be produced before the company breaks even?
In Atlantic City, Nick played the slot machines for 12 h. He lost $45 an hour. Use real numbers to represent the change in Nick's financial status at the end of 12 h. Compose a note explaining how you arrived at the solution. What difficulties (if..
determine the amount of an investment if 96000is invested at an interest rate of5.2 compounded daily for 3
Explain the difference between a zero slope and undefined slope - Write the solution set using interval notation and graph the solution set on a number line
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