Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check your answers using calculus. f(x, y) = 85 – 14x + x² + 12y + y²

Q: Find least square quadratic approximation of function with f(- 2) =0 f(– 1) =5 f (0) =0 f (1) = – 5…

A: We have to solve the given problem by least squares method.

Q: To put the quadratic function f(x)= ax2 + bx + c instandard form, we complete the____ .

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Q: Find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown 2x? +…

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Q: A. Rewrite the given quadratic function to its Vertex Form y = a(x – h)² + k. %3D 1. y = x? - 4x + 1…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Find the x-intercepts (if any) for the graph of the quadratic function. 2) f(x) = x2 + 16x + 47 Give…

A: The X-intercept is a point where the y-coordinate is 0. You can find the x-intercept of a function…

Q: Which quadratic function has it's vertex at (-2,7) and opens down? a. y = -3(z + 2)² + 7 %3D b. y =…

A: Find which quadratic equation has its vertex at (-2,7) and opens down.

Q: Given b e R, consider the quadratic function in standard form: f(x) = x² – 2bx + 3. (a) Find b e R…

A: Suppose we have quadratic function ; .Note the result corresponding to this function : If both…

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 2x+ 2. no x-intercept(s) (-7, 0),…

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Q: f(x) = 2x3 - 3x2 - 36x +14 %3D find maximum point O (0,0) O (-2, 58)

A: To find the maximum point of polynomial,  put first derivative of function equal to 0, get values

Q: Consider the function f(x, y) = 40x² – 21y? + 20ry over the unit square 0<x < 1, 0 < y < 1. NOTE:…

A: The function has neither a maximum nor a minimum value.

Q: Find the point on the parabola x = t, y = t2, -infinity&lt;=t &lt;=infinity, closest to the point…

A: Consider the required point as (x,y)Consider the formula of distance between the two points.

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 T, and the line perpendicular…

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Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A: Given data: h,k=2,0 x,y=4,4 Solution: If (h,k) is vertex and (x,y) is point on a curve or graph then…

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

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Q: Eind the quadratic function f/y) - oy2 + by + for which f/-1) - 5 f/1) - 3 and f/2)

A: The given quadratic equation is fx=ax2+bx+c                 …1 and f-1=5, f1=3 and f2=5. Substitute…

Q: Find the roots of the quadratic function: f(z) = 5z2 + 5z – 1. Fully simplify all answers. Write…

A: We can solve the problem by sroddhar acharya Law.

Q: The path of a diver is modeled byf(x) = (−4/9)x2 + (24/9) x + 12where f(x) is the height (in feet)…

A: Givenf(x) = -49x2+249x+12here, a = -49 , b = 249this is downward opening parabola.

Q: Find the equation of a quadratic function of the form f(x) = ar? +br + c with vertex at (4,8) and…

A: We have to find a quadratic equation of the form fx=ax2+bx+c with vertex at 4,8 and x-intercept is…

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

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Q: Complete the square and find the maximum value of f(x) = -x 2 + 4x + 1.

A: To complete the square and find the maximum values of the given function.

Q: Rewrite the quadratic function in standard form and give the v h(x) = 3x + 12x | 10 2 The vertex Is…

A: The given equation is  h(x)=3x2+12x+10

Q: Find the value of x for which the line tangent to the graph of f(x)=7/2x^2−5x+1 is parallel to the…

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Q: Find a quadratic function f(x) = ax? + bx +c whose vertex is (2, 4) and whose y-intercept is (0,…

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Q: Find least square quadratic approximation of function with f(-2) =0 f(-1) =5 f (0) =0 f (1) = – 5 f…

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Q: Given (-1,12) is the maximum point for a quadratic function f(x) = 4h-(2k+x)²,where h and k are…

A: Given quadratic function is fx=4h-2k+x2

Q: Using quadratic interpolation, find the maximum of the function f (x)= 13cosx-(x13/10) with the…

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Q: Which quadratic function has it's vertex at (-2,7) and opens down? a. y = -3(z + 2)² +7 b. y = -12(z…

A: To find the quadratic equation

Q: The quadratic function y = ax? + bx + c pass through (2, 1) and tangent to the line y = 2x + 4 at…

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Q: Use the vertex (h, k)and a point on the graph (x, y) to find the general form of the equation of the…

A: Topic - quadratic Equations At vertex slope of graph is zero

Q: Find the quadratic function y = ax? + bx + c whose graph passes through the given points. (1,7), (–…

A: By satisfying the function with given points  we will obtain the system of linear equations and…

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no…

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Q: o find two real numbers whose diff nd whose product is minimum, we ninimum value of the function…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: 50. (h, k) = (3, 2), (x, y) = (10, 1) %3D %D

A: the general form of the equation of the quadratic function

Q: the vertex of Quadratic function f( x ) = 2x2 - 4x +1 is : Select one: a. (1,-1) b. (-1,1) O c. (-1,…

A: We will find the vertex by completing the square

Q: h(r) = r² + 11r – 26 1) What are the zeros of the function? Write the smaller r first, and the…

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Q: Consider the quadratic function f(x) = –2x2 + 4x + 2. Find the y- intercept and the equation of the…

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Q: Using quadratic interpolation, find the maximum of the function f (x)= 13cosx-(x13/10) with the…

A: x                      fx The functions are: L0x=x-x1x-x2x0-x1x0-x2=x-6x-130-60-13=x-6x-1378,…

Q: Give the roots (zeros or r-intercepts) of the functions in parts (a) f(x) = }a² – 2 (b) g(2) — (г —…

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Q: Form quadratic functions having the following properties: Zeroes at 1+2.y-intercept at -4 rer: f(x)=…

A: We have to write the function

Q: Find the absolute maximum and absolute minim r) 3x- 12x + 5, [1.71

A: The function represents a quadratic function. Its leading coefficient is 3 which is greater than…

Q: Find all the zeros of the quadratic function. y=x¯+16x+64 If there is more than one zero, separate…

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Q: Without using Calculus, determine whether the two variable function f(x, y) = 5x2 − 4xy + 5y2 has a…

A: The given function is f(x,y)=5x2-4xy+5y2

Q: Find the slope of f(x) = -3x? – 6x at x = 1. %3D %3D

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Q: Consider the following quadratic function. f(x) = 2x2 + 36x + 169 Find the vertex. (x, y)=

A: Consider a quadratic equation

Q: In the xy plane, the graph of the function f(x) = x2 + 5x + 4 has two x-intercepts. What is the…

A: x- intercepts are the points where the function touches the x-axis. So if the function touches the…

Q: The quadratic function y = f(x) has the graph shown. 4 -6 -5 -4 \3 -2 I 2 3 4 5 6 -2

A: In order to find a quadratic equation from a graph using only 2 points, one of those points must be…

Q: Drag the appropriate answers from the choices given into the boxes provided. Identify the quadratic…

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Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y + y3 -3x2- 3y2 +2.

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

Q: Consider the quadratic function f(x) = x? – 2x – 3. - Determine the following: (enter all numerical…

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Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out r-inch by…

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