39. Determine if the following functions are odd, even, or neither: a) c) f(x) = x° – 7x + 8x 40. Determine an equation of a polynomial function with zeros at x = 2, –2, 1, and y-intercept of 24.

Q: Find the maximum and minimum value of f(x,y) =x3+3xy2-3x2-3y2+4

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: To find the critical points we solve dy/dx=0

Q: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

A:

Q: if xo = 2, x1 = 3 and x2 = 4 the second degree polynomial for f(x) = using Lagrange Interpolation is

A:

Q: f(x) =( x^2-1)(x-1)

A:

Q: Given the functionP(x) = x – 2x +0+ A + 12 where and A are unknown 2nd and 1st order terms. The…

A: given function P(x)=x5-2x3+□+∆+12where □ and ∆ are unknown 2nd and 1st order terms.we have to find…

Q: Determine the equation of the quartic function with the following characteristics x-intercepts at x…

A:

Q: Find the standard form f(x) = a(x – h)²+k__of the quadratic function that has zeros of 9. and and…

A: The standard form of the quadratic function is f(x)=a(x-h)2+k. This form has zeros at 15 and 95.…

Q: For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy +…

A:

Q: Find a formula for the quadratic function whose graph has y-intercept at y=11 and zeros at x=1 and…

A:

Q: 4) For the function 16 u y=-0.0519x+1.0777x-7.4569x+ 20.247x - 12.333 R=0.6113 12 10 4. time 10…

A:

Q: Find the absolute maximum and absolute minimum of the function f(z) = z² – 6z + 5 over (1,

A: Given: fx=x2-6x+5, 1,6

Q: 9. Create the equation of a polynomial function where the instantaneous rate of change is equal to 0…

A: A polynomial is one of three basic mathematical functions. This function is widely used in different…

Q: 2-→Find-the-residues of the-function-at-its-poles F1:(2)-(2-z-+3)/(z²-4)1

A: The given complex function is: F1(z)=2z+3z2-4

Q: Ex.5 - Prove that the polynomial 2ª + z + 1 has exactly two zeros in the right half-plane.

A: Solution: We will be using the method of Routh array For a polynomial Qz=anzn+an-1zn-1+...+a1s+a0…

Q: You will calculate L5 and U5 for the quadratic function y 2² + z + 14 between z = 0 and z = 2. Enter…

A: To solve the following problem

Q: where y1 = e* is one of the functions in the fundamental solution set. - %3D xy" + (2-2x)y' +(x- 2)y…

A:

Q: 3. The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function…

A: Detailed explanation mentioned below

Q: For the given polynomial y a2x2 + azx³, determine a2 and az that will make %3D (1,3) a point of…

A: Based on trial and error method we will solve the the first equation.  As per the bartleby policy,…

Q: Consider the Lagrange polynomial that passes through the 4 data points given by 2 8 y 7 | 151 | 407…

A: We know that L0x is given by  L0x=x-x1x-x2x-x3x0-x1x0-x2x0-x3        1 Here, x0=2,x1=5,x2=7,x3=8,x=4…

Q: The table shows projections for the female population of a country (in millions). Year 2015 2040 181…

A: a. If x=0 corresponds to the year 2000. Then, for 2015, x=15 and for 2040, x=40 and for 2050, x=50…

Q: Suppose if we use a linear Lagrange polynomial, differentiate and evaluate at x = x0 what formula…

A: Consider the general equation for the linear Lagrange polynomial function and two points.…

Q: The function f(x,y) = 3x2 - 2xy + y2 + 8y has one stationary point. What is the location and…

A:

Q: Find the quadratic polynomial g(x)=ax^2+bx+c which best fits the function f(x)=3^x at x=0 in the…

A:

Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: We have to find the cubic polynomial f(x)=ax3+bx2+cx+d...........(1), so that it has horizontal…

Q: For the given polynomial y = azx2 + azx³, determine az and az that will make (1, 3) a point of…

A:

Q: Determine the quadratic function of the form f(x) = a(x – h)² + k whose graph is given on the right.…

A: Consider quadratic function of the form               f(x) = a(x-h)² + k

Q: 2.a. Find the maximum and minimum values of the function: y = 3x² 18x +31 -

A: We have to find the maximum and minimum values of the given function y=3x2-18x+31 .

Q: What is the local maximum and minimum of the equation f(x)=x2e17x

A:

Q: Suppose that a = 0.5 mi, vo = 9 mi/h, and vs = 3 mi/h as in Example 4, but that the velocity of the…

A:

Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: Given f(x)= ax^3+bx^2+cx+d that has the horizontal tangents at points (-3,2) and (2,-4). We need to…

Q: 1. Express the quadratic function f1x2  x2  x  6 in standard form, and sketch its graph.

A: Given: f(x)=x2−x−6

Q: Q1/ The Lagrange polynomial whose curve passes through the following points y(0) = 1,y(1) = 5,y(2) =…

A:

Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is

A:

Q: b) Write down the polynomial equation for (1,-2) and (4,3) using Lagrange Method.

A: Let x,y =1,-2 and x2,y2 =4,3Then by Lagrange 's method , interpolating polynimial is given…

Q: The table shows projections for the female population of a country (in millions). Year 2020 2045…

A: Here is the solution,

Q: Suppose the new quadratic g(x) = x + px + q has the roots y = a+B and & = + %3D %3D Find the…

A:

Q: Use the Intermediate Value Theorem to prove that 8sinx = x has a solution between and a. 2

A: Let us consider a function f(x)= 8sinx-x

Q: Find the standard formf (x) = a(x – h)² + k of the quadratic function that has a vertex at (-2, 5)…

A:

Q: Find a quadratic function f whose graph matches the one given.

A: Find a quadratic function f whose graph matches the one given.

Q: Suppose that / (3r-x²) dr=Ax³+ Bx+C, for constants A, B, C. What is the value of C if the curve…

A: The given integral ∫3x4-x2dx=Ax5+Bx3+C

Q: if √0 =0, √T = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, ther with the…

A: Let  f(x)=x We have x f(x)=x 0 0 1 1 4 2 we have x0=0, x1=1, x2=4 Lagrange's polynomial…

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

A:

Q: Q5- Show that are eventually fixed point for the function: '5' 4x 0 <x < く 2 - 4x <xく f(x) = 4х - 2…

A:

Q: Determine a quadratic function in vertex form given that it has a vertex at (3, 0) and passes…

A:

Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

A:

Q: Given the function g(x) – 5(x – 7)*(x + 1)°(x – 4), its roots are and their multipicities are

A:

Q: is a polynomial O has repeated roots at x = 0 O has a slope equal to zero at x = 0 O is always…

A:

Q: Let y=f(x) be a polynomial function with x-intercepts(2, ±/2}. Determine the value of f (x) if x =…

A: