find the vertex for ƒ (x) = æ² – 6x + 13.

Q: Suppose (P. O) is the point on the graph of y =Vx closest to (1. 0) - What is the value of P+ 1-

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Q: Find the optimal solution for the following function using the graph method? Min Z= 3X1 + 4X2 ST…

A: Given, Min Z=3x1+4x2          subject to X1+X2≤2                            X1+2X2≤5…

Q: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

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Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: neath the graph of f(x) = 7x³ about the y-axis ov

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Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: Find the linear function satisfying the given conditions. g(2) = 4 and the graph of g is…

A: see the details solution in below

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

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Q: snip

A: Given function is fx=ax2+bx+c, where a≠0. To find the x-coordinate of the vertex. Solution: Vertex…

Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: The graph of g(x) = logs(-x) is the graph of f(x) = logsx reflected about the %3D

A: We can plot both the graphs to see thatThe blue curve represents the equation y = log5(x) and the…

Q: For the graph of the linear function f(x) = mx + b, m is the  _____ and b is the _______ .

A: For the graph of the linear function fx=mx+b, m is the  _____ and b is the _____.

Q: Find the x-intercepts of the graph of the function y = – x² – 6x + 3 6土V24 Ox = - 2 6土V48 O x = -2…

A: We have to find the x intercept of given function.

Q: 5. Reconstruct the graph I from its subgraphs : F; =r-v;, where T3 = K13 T= Is= K13+e; T:. P,UK,

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Q: What is the axis of symmetry for the following quadratic function? y = -4 Oy = -1 x = -4 Dx = -1

A: Given graph of a quadratic function

Q: Let f(x) = -0.4x² + 6x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

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Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum.

A: To solve the following problem

Q: 29. Given that V(-4, 5) is the vertex of the graph of a quadratic function y = f(x), and its…

A: The vertex form of a quadratic function is defined as fx=ax-h2+k Where, h, k is the vertex of the…

Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: let f(x) = -0.4x^2 +14x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Standard equation = ax2 + bx + c

Q: Find the y coordinate of the vertex: f(x) =x +5x+3 О-13/4 О 5/2 O 13/4 O -5/2 to search

A: Given query is to find coordinates of vertex.

Q: What is the minimum of the function y = -a + 3x for a <-1? %3D -4 -2 04 O2

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Q: Determine the maximum r-values of r-7cos4e. 8- 0. * 3x 3x e= 0, e= 0, .

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Q: Find the linearization for f(r) 10, and use it to approximate 12 near a=

A: We want to find the approximate value of 112 by linear approximation of the function ,fx=1x by…

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: For what values of x is the graph of y=xe^(−2x) concave down?

A: Find first derivative using product rule and chain rule.

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

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Q: Identify and sketch the graph of the given equation in R3 z = 1- ex

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x-axis,  y-axis,…

Q: . The x-coordinate of the vertex of f(x) = ax2 + bx + c,a ≠ 0, is_________

A:

Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

Q: The graph of f(x) = 5(x - 3)2 - 2 is a parabola that opens upward with its vertex at (x, y) = | and…

A: We have to find the vertex of the parabola and its minimum value.

Q: orm f(x) = ar² + bx +c whose graph %3D

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Q: If f(x) = 3x^2 − 7 and g(x) = 2x + a, find a so that the graph off ◦ g crosses the y-axis at 68.

A: Given

Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: If f) = x2 + 2x + 5/ the formula to compress the graph horizontally by factor of 3 followed by a…

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Q: The graph of 3x – 2y + z = 12 is a with x-intercept at

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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: The x-coordinate of the vertex of f(x) = ax2 + bx + c, a ≠ 0, is ________.

A: For the standard form of a parabola:  fx=ax2+bx+c If a&gt;0, the parabola opens up and the vertex…

Q: Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold,…

A: Given: P=(12-2x)2         for 0≤x≤3            Revenue   R(x)=xP(x) then    R(x)=x12-2x2…

Q: v. Sketch the graph of p againstt for t> 0.0

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Q: y = 3V(x³ + 1)

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Q: Vx² - 5x +1 a) lím V4x +3x

A: To find:- limx→∞x2-5x+14x2+3x

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

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Q: Use the given graph of y = f(x) to solve graph g(x) = f(x - 1) + 1.

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Q: Find values of a, f(x) = ax' + bx² + cx passes through (-1,0) and has a point of inflection at (1,…

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Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

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Q: x = t? + 2t ; y = 3t + 1; Compute when t = 2. Is the graph concave up or d2x down at that point.

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Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6

Q: If f(x) = 2sin (3x), the formula to compress the graph vertically by factor 4 followed by a…

A: Definition used -    If  graph of a function f(x) compressed vertically by factor a , then new…