39. Use the graph below of a polynomial function y = f(x) to solve (a) f(x) = 0, (b) f(x) > 0, (c) f(x) s 0, and (d) determine f. y = f(x) 18 14 10 6. -2 2 4 X 2. 2.

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

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A: Consider the given cubic polynomial fx=ax3+bx2+cx+d, it has horizontal tangents at the points (-3,2)…

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A:

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

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A: minimum cost

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

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Q: polynomial function has a root z = 4

A: We have to select the correct statements of the given function. It is given that y=2x3+13x2+8x-48

Q: Sketch #1 Sketch the graph of a polynomial function that meets these requirements: T. いマ 10 (1) As x…

A: Draw the appropriate graph according to given requirements of the curve.

Q: 10) Use the graph of y = f (x) shown below to describe the concavity in the graph of y = f (x) on…

A: Given information: The graph and the concavity in the interval [0,4]

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A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (b) Complete the table for y=-x + 8x - 7, including all integral values of x such that 0SxS8. This…

A: Make a table for (x,y) and substitute all integral values in the function and find y. x…

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: 5. Find a quadratic function f(x) = ax² + bx + c whose graph passes through (2,-1), and zeros of f…

A:

Q: S(r) = -x² + 2r + 15 What is the minimum or maximum of f (x) (put "0" if there is no minimum or…

A: Given function is fx=-x2+2x+15. To find the minimum or maximum of fx. Solution: Given function is…

Q: 7у — 9х Suppose f(x, y) = Find an equation for the level curve of f that passes through the point…

A:

Q: 4. The possible equation of polynomial function for the following graph is a) f(x) - (х-2)(х+3)(x-5)…

A: Graph of the polynomial function is given, we have to find its equation. Note: Multiple questions…

Q: Q-3: Plot the zeros of each polynomial on a line together with zeros of its first derivative. 1. y =…

A:

Q: 16. Write a polynomial function with end behavior of: on the left f (x) goes to + 0o and on the…

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

Q: explain this.    the given height of a spaceship at time x is defined by h(x)=…

A:

Q: Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by:…

A: 5 (a)

Q: 4. The graph of the polynomial function f below. If g(x)=f(x+5)-1, what are the roots of g(x)?

A: Given ,  The graph of the polynomial function f  If g(x) = f(x + 5) - 1  We have to find the roots…

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: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

Q: 8. The graph that could represent a fifth degree polynomial of the form y = ax+ bx + cx + dx² + ex +…

A:

Q: # 3 Assume polynomial Po(x) interpolates the function f(x) = e-2x at the 10 points x = 1 2 3 456 7 8…

A: Given that the polynomial P9x interpolates the function fx=e-2x at the evenly spaced points,…

Q: 27. Show that the third differences of a polynomial function of degree 3 are nonzero and constant.…

A:

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: 1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous?

A:

Q: 15(a). Consider the quadratic function f(x)=x²-2x-3. (1) Find the vertex and the intercepts of the…

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Q: x² when x = 0, x = Suppose the graph of a cubic polynomial intersects the parabola y = b, where 0 <…

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Q: (4) Suppose the coefficients of the cubic polynomial p(x) = a + bx + cx² + dx³ satisfy the equation…

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Q: Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by:…

A: Consider the given information. (i) The local approximation at x=0, is given by y=−2x2. (ii) The…

Q: (b) Find a polynomial function of degree 4 whose zeros: -i; 3 (multiplicity 2).

A:

Q: Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical. After t…

A: Given- Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical.…

Q: applications of differentiation/optimization problem - calculus

A: Keeping E and r fixed, we need to maximize the power given by the expression,

Q: Find an 4th degree polynomial function with real coefficients whose zeros are 4,–1,2, v2i and a…

A: Here degree of polynomial is 4 so it has 4 roots.

Q: Lake Kisssimmee, polluted by bacteria E. Coli, is treated with an antibacterial chemical. After t…

A: Given query is to find the population or bacteria at different time.

Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given query is to find the time at which concentration will be maximum.

Q: 2x³4 Q1 Investigate the limiting behavior of_f(x,y)=- x4+y² as (x,y) approaches (0,0)

A: Along x=0 f→0y2=0

Q: 49. Find the quadratic polynomial g(x) = ax? + bx + c which best fits the function f(x) = e*t at x =…

A:

Q: 15(a). Consider the quadratic function f(x)=x2- 2x-3. (i) Find the vertex and the intercepts of the…

A: (a)  To find: The vertex and intercepts of the function: Given: The quadratic function is…

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: 6. Give an example of a polynomial function that has each of the following end behaviours: a) As…

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Q: Find the equation for a polynomial f(x) that satisfies the following: · Degree 3 · Zero at r = 2 ·…

A: Explained below

Q: Complete answer and solution only no need explanation What is the velocity in m/s at 16s using…

A: Please check step 2 for the solution.!

Q: D. I - 1, 19. If you are asked to create a polynomial function f(x) whose roots are defined by the…

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Q: According to a certain estimate, the depth N(t), in centimeters, of water in a given tank at t hours…

A: Use derivative test method to find maximum depth.

Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: 3. Find the absolute maximum value of f(x) = x³ – 3x² on the interval -15x<3 (A)–4 (B) 0 (C) 1 (D) 2…

A: