If any of the factors of a polynomial function are linear, then which of the followingis NOT true?A. The graph has a linear shape near this x-intercept.B. The x-intercept is a point where the curve passes through the x-axis.C. The x-axis is tangent to the curve at these points.D. The zeros of the function are locations on the graph where y = 0.

It is provided that the polynomial function has linear factors. We need to determine the statement…

Answered: If any of the factors of a polynomial…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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+ 3. An amusement park is planning a new roller coaster. Part of it is to have the shape of the cosine function. The high and low points of this part differ by 24 meters and cover a horizontal distance of 40 meters from the high point to the low point. The low point is 6 meters below ground in a tunnel. Let y repre- sent the number of meters the track is above or below ground, and let x repre- sent the number of meters the track is horizontally from the high point. a. Sketch this situation. b. The equation y = 12 cos (4.5x) + 6 models the situation when x and y are in meters and 4.5 is in degrees per meter. Rewrite y = 12 cos (4.5x) + 6 as an equation for which the coefficient of x is in radians per meter. c. What is the length of a vertical support girder at the high point? At a dis- tance of 6 meters horizontally from the high point? At a distance of 20 meters horizontally from the high point? d. Measured horizontally, how far from the high point does the roller coaster enter the…
Use the written statement to construct a polynomial function that represents the required information.A rectangle is twice as long as it is wide. Squares with sides measuring 3 feet are cut out from each corner. Then the sides are folded up to make an open box. Express the volume V of the box as a function of the width x, where V is measured in square feet. V(x) =
MA.912.F.1.5 Date: Period: Callie and her friend Elena are reading through different novels they checked out from their school library last Tuesday. Callie's progress through her novel can be modeled by the function p(d) = -25d +318, where p(d) represents the number of pages remaining to be read and d is the number of days since receiving the book. Elena's progress through her novel is modeled by the graph below. АУ # Pages Left 400 350 300 250 200 * 150 100 50 (3275) (8,75) 2 3 4 5 6 7 # Days Part A. Which student's novel has more pages to read? 8 9 10 11 Part B. Assuming they both continue to read at a constant rate, which student will complete their novel first?
7. The function shown is a second-order piecewise polynomial, plot the function yourself: 22 y 20 18 16 14 12 10 8 6 0 1 2 3 4 X 10 5 6 7 8
a. Graph the following function using transformations. b. Find the real zeros of the function. c. Determine the x-intercepts on the graph of the function. g(x) = (x + 2)² - 9 u. Vrupin any furvavi vơing munSIVITTIMUVES. Click to enlarge graph b. What are the zeros of the function? (Simplify your answer. Use a comma to separate answers as needed.) c. What are the x-intercepts? (Simplify your answer. Use a comma to separate answers as needed.) ← 10 -8 104 8 ob 6 2 --6- 8 do
Use the given information about the polynomial graph to write the equation. Degree 3. Zeros at z = - 3, x = - 1, and æ = 1. y-intercept at (0, 9). f(x) = Preview

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