Given f(z) = – 9z*(x + 4) (3x + 1)*(x – 5)* %3D List the zeroes (ex. 4, 6, -2): Degree: End behavior: As x → - ∞, f(x) → Select an answer As x +0, f(x) → Select an answer

Q: ivative of p = 2xz nes maximum in t 3k

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Q: Q-6: Find the maximum product of two positive x and y such that 2x + y = 100.

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Q: 1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x +…

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Q: 2. Sketch a graph of a quartic polynomial function y = fx) such that: € fu) > 0 when - 2 1

A: In the given question we have to draw the graph of a quadretic polynomial s.t f(x)>0 when…

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

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Q: let g(x)=     (2x2++2x-24) / (x3-16x) the holes and vertical asymptote(s) for this function exist…

A: let g(x)=     (2x2+2x-24) / (x3-16x)Let's factrorise the numerator and denominator.Numerator =…

Q: Let k(x) = 1 -x4, where j(x) = y + k(x) and y = x6 - x2. Describe the graph of j(x) based on the…

A: Given: k(x)=1-x4 where, j(x)=y+ k(x) y=x6-x2 Then j(x)=x6-x2+1-x4j(x)=x6-x4-x2+1 The zeroes of the…

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A: Since the zeros of the polynomial are -1, 2, 3, therefore the factors of fx are, x+1,  x-2  &…

Q: Find the asymptotes of the functions: 4 x2 1- f(x) = %3D x2 +8 x2-6x+7 2- f(x) = %3D x+5

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Q: etch #2 Sketch the graph of a polynomial function that meets these requirements: (1) As x -0, y -0…

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Q: 1. If the leading coefficient of an odd-degree polynomial function is negative, then the function…

A: Check the end behaviour of the function as x tending to minus infinity and infinity.

Q: question 5

A: The lead term of this polynomial is -x^7. So, f(x) will behave as -x^7 does on the ends.

Q: Find Valume x zO; Ekort the X3D2; 0 about the x- axis

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Q: 36. The graphs of polynomial functions f(x) and g (x) are shown on the standard (x, y) coordinate…

A: It can observe here that f(x) is parabolic curve  and g(x) is an straight line. Now let's write the…

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions…

A: Complex zeroes occurs in pair. So if i is a zero then -i is also a zero.

Q: 5. Find the asymptotic behavior of the polynomial f(x) = -x"+4æ® + 2x³ – x³ + 10x? – 12x – 10 (i.e.…

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Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

Q: EXERCISE 4. Evaluate the following using Rationalization Method. Show your solution. Vx² + 7 – 3 lim…

A: Given  The limits are 1.  limx→3x2+7-3x+32.  limx→0x+1-1x

Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Parabolic Interpolation (X0= 1.75, X1=2,…

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Q: Let f(x) = 3x -2 and let g(x) = 5x + 5. Find f(x) - g(x). %3D %3D Type the coefficients in the…

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Q: @ f(x)= x²-3x-4 2 @ f(x) = x² - 4x +3 Show that whether f(x) reduceable Poly or not

A: The given problem is solved below in detail.

Q: b) f(x)=6x+ +7x² – 8x+ 9 Туре of polynomial Degree Sign of leading coefficient End behaviours Domain

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Q: Suppose h (x) = ax³ + 11x². Determine a if h has an inflection point at x = 4. Show all your work.…

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Q: Which polynomial function has 3 as a zero of multiplicity 4 and − 6 as a zero of multiplicity 2?…

A: Total number of repetition of a single zeroes in a function is called it's multiplicity: Since given…

Q: Find a fourth-degree polynomial function f(x) with realcoeffi cients that has -1, 1, and i as zeros…

A: Since two zeros are -1 and 1, so two factors are (x+1) and (x-1), The complex zeros occur in…

Q: Find a polynomial f (x) of degree 3 that has the indicated zeros and satisfies the given condition.

A: Given: A 3 degree polynomial with zeros -3,-2,0.

Q: Find the Domain (b) g(x) = In(x² –- x) %3D

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Q: Find the maximum of f (x) = 4x – 1.8x² + 1.2x3 – 0.3x* using Quadratic interpolation (xo = 1.75, x,…

A: We can solve this using quadratic interpolation formula

Q: A polynomial function of degree n(n 2 3) can have at most (n - 2) inflection points.

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Q: 2. Let f(x) =-x°(x- 2)’(x+7)°. a) As x→ 0, f(x) → b) As x →-0, f (x)→ c) How many turns f(x) can…

A: The given function is fx=-x2 x-23 x+72. Note that the leading term will be -x2·x3·x2=-x7. Therefore,…

Q: Find a polynomial f(x) of degree 4 with leading coefficient 1 such that both  −7 and 2  are zeros…

A: Since the zeros are multiplicity of 2. Zeros = -7, 2 The value of leading coefficient is 1 given in…

Q: Find the vertical, horizontal, and oblique 3x + 20x + 14x - 65 asymptotes, if any, forf(x) = x* + 8x…

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Q: Verify the assertion made in Example 2.

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Q: a51 - Find ax2@y3 if f(x,y)-x.e z

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

A: Given function is f(x)=12and the nodes are x0=2, x1=3 and x2=4. We have to find second degree…

Q: 5. If f(x)= kx³ + x² – kx+2, find k such that the graph of f contains the point (2, 12).

A: Given

Q: 1. Determine the question of the polynomial function that has zeros at x =- 5 (order 2), x=-1 andx 4…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 8, 0, 5, -3

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Q: P2.26 Find zeros of the following functions using fixed- point iieration, or explain why iteration…

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Q: the cubic polynomial shown below has zeros at x= -4 and x=2 only has a relative maximum at (-2,8).…

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Q: Q3. Using interpolation, approximate the following function by a polynomial of degree at most 3…

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Q: Find a polynomial fuction f(x) of degree 3 with real coefficients that satisfies the given…

A: Using the factor theorem: If x = a is a zero of a polynomial P(x), then (x-a) is a factor of the…

Q: Find all zeros of the function f(x) = 9(x - 1)° (7x + 5) (x - 4) and their multiplicities. Choose…

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Q: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17.  In addition, f(x) has the…

A: Given that

Q: Find a function P(x) of least possible degree, having real coefficients, with the given zeros. 16) 3…

A: Given that 7i is a zero of the polynomial P(x). So -7i is also a zero of the polynomial.  So the…

Q: 1 Find a polynomial function of degree 3 with - 5,0, 2 3 9 5 O A. f(x)=x²-x² + O B. f(x) = x³ + 3 92…

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Q: Given that f(x) = 2x^3+9x^2-60x+70, Find the local maximum and local minimum for f(x)

A: Given,            fx=2x3+9x2-60x+70

Q: Find the linearization at x = a. f(x) = 8x°, a = 1 (Use symbolic notation and fractions where…

A: The given function is fx=8x9,a=1. Obtain the derivative of the function as follows:…

Q: 3s Use the convolution theorem to find L-1{

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