Consider the problem of finding the local minimum points of the function f(ï) = -4 +" over the following set: - {- (a) Find the set of feasible directions at the point * = (b) Does the point satisfy the first-order necessary condition?

Q: Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero , the product of the other…

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Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

Q: Which function represents a transformation of the parent quadratic function and 2 units down? a. fx)…

A: Here we have to transform the parent qau8dratic function 6 units to the left and 2 units down.

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

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Q: Expand and simplify to express each equation in standard form. [2, 2, 2, 3, 3, 2] a) y = (x +5)(x +…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Our Aim is to find two positive real numbers a and b such that they add to 40 and their product is…

Q: If the function f(x) is quadratic with zeros x=-6, and x=-2, then the axis of symmetry must have an…

A: Function f(x) is quadratic Function, Zeros of Function f(x) : x=-6, and x=-2.

Q: Explain how the Pythagorean Theorem can be used in the real world. Who might use it on a regular…

A: topic- Pythagorean theorem

Q: i need to do a punett square method for this problem (x-4)(x+6)(x+2)

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Q: Is it possible to solve this question without graphing? Just pure algebra.

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Q: Every quadratic function will have zeros. True O False

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Q: 1. Write a polynomial function that has these zeros: 0, -2, 6i.

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Q: Suppose f (x) = x² + 2x + 1. Find the vertex, vertical intercept, and x-intercepts of this quadratic…

A: The objective of the question is evaluate vertex , vertical intercept and  x-intercept.

Q: In a study to determine the effect of vehicle weight in tons (x1) and engine displacement in in³…

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Q: The quadratic relation y = ax* + bx +c can be transformed algebraically or the form into the form

A: Complete squaring method

Q: The population of a certain country was approximately 75 million in 1900, 175 million in 1950, and…

A: We have to find quadratic equation and population in 2050

Q: The population of a certain country was approximately 50 million in 1900, 150 million in 1950, and…

A: Given that the data The population of a certain country was approximately 50 million in 1900, 150…

Q: create any mathematical problem and show its solution.

A: A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the…

Q: Solve: 1 (i) x +1 1 1 1 X - 3 x - 1 x - 2 (ii) X - 1 x+ 4 x+2 x +3 - 4 x - 2 x - 3

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Q: 3 x+2 x-3 2x+1 3x-1 2x+1

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