Answered: Write a polynomial with degree 3 that…

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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An open-topped box can be made from a sheet of aluminium measuring 50 cm by 30 cm by cutting congruent squares from the four corners and folding up the sides. Write a polynomial function to represent the volume of such a box. Determine the range of side lengths that are possible for each square that is cut out and removed that result in a volume greater than 4000 cm?.
suppose r f& L(μ), 11 £1100 so and Prove that is a positive measure 2n = √√1f1" d/^" (n = 1₁2,...) Ln lim 878 dntl dn = || f 1100 on X, (x) <∞,
Do 2,3,4 please
please create two polynomials with different degrees but the same characteristics: crosses the x-axis at x = 8 touches the x-axis at x = -6 and x = 1 is above the x-axis between 1 and 8. Explain how you used the information given to create the polynomial. Leave your polynomial in its factored form.
Find a polynomial whose graph fits the following points: (-2,-13), (0,1), (2,3), (4,5)
Perform synthetic division to divide the function f(x) = x^3+2x^2-7x-24 by -3. Then, state the remainder and explain weather x-3 is a factor of f(x) or not.
Create a polynomial function to design a roller coaster ride. It must start on the ground (0,0) and end (4,0) since the ride is 4 minutes long. You must at least have 2 real zeros where 1 must be double ( )^2, 1 must be triple ( )^3 and it must have 2 imaginary zeros. It has to go underground at least once and the height must be within this range; -50 ≤ y ≤ 300 feet. You need to write the equation in factored form and find all zeros that include real and imaginary.
what could be a polynomial with a degree of 5 if its zeros are -2,1, and 4?
List all the zeros of the polynomial function f(x)=x*-2r-6x² +22x – 15 Show all work.
Find all the zeros of the following polynomial function, rewrite it in factored form, and then sketch its graph. ?(?)=2x^3 +5x^2 −32x−80 .
Need it asap. Thank youu! The polynomial function : M(x) = 15x ^ 6 - 2x ^ 3 - 4x ^ 2 + 6x + 8 can be used in estimating the number of milligrams of vitamin C in the bloodstream x hours after 1000 mg of the vitamin has been taken . Find the number of milligrams in the bloodstream at a ) 1 hour ; b ) 2 hours
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) =

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Write a polynomial with degree 3 that has zeros at x=−5/2 and x=2+√5. Write the function using only integers