Use desmos to find the vertex for f (x) = x² – 6x + 13. -

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x + 1.

A: g(x)= 2x + 1 = f(x)+1 This means f(x) will move 1 unit up to make g(x). Graph of f(x) is:

Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

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

A:

Q: Express f(x)= x2 +4x + 1 in standard form. Find thevertex of the graph and the maximum or minimum…

A: We will complete the square for f(x) Answer(a): Standard form: f(x)= (x+2)2 -3

Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

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Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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Q: Find the horizontal asymptote of y= X 2 /3 + x2

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Q: Find the local maximum and minimum points of f (x) = (3x - 1)3.

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Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: For the function f(x)=x^3−27x, its local maximum is __ which occurs at (___; its local minimum is __…

A: To find the local maximum and local minimum for the function f(x) = x3 – 27x

Q: If r is a zero of even multiplicity, how come the graph of f doesn’t just cross the x-axis at r?

A:

Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: 3x is The vertical asymptote of f(x) : %3D 2-Inx

A:

Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

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Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

A:

Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3…

Q: For the function f(x) = x³ – 27x, its local maximum is which occurs at ( its local minimum is which…

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Q: Sketch the graph of the function. f(x, y) - 4 - x - 4y2

A: Sketch the given function

Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x&gt;2

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x+1.

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

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

A:

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

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Q: Find all possible oblique asymptotes 2r/2 + 2x – 3 y = Vx + 1

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Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

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

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Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

A:

Q: Sketch the graph of f(x) =1−2x /(x−3)^2close to x = 3

A: First list some coordinates for the given relation as shown in below table.

Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

A:

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

A:

Q: What is the multiplicity of the zero at x=-2 of the function represented by the graph?

A: Given,           The function represented by the graph is shown below :           To find : What is…

Q: Consider the function f(x)=xe^-7x, 0≤x≤2. Find The absoulute mininum and maximum.

A: Given data: The given function is f(x)=xe-7x. The given limits of x are [a, b]=[0, 2]. The first…

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: An asymptote is a line or a curve that the graph of a function approaches. Vertical asymptotes occur…

Q: Find the absolute maximum of the function f(x) = xª – 8x² on the interval –1 < x< 3.

A:

Q: Find the horizontal asymptote of f(x)=5x+4x3+2 over −4x3+3x2−1. y =

A:

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: The function f(x) = Y2x²+1 has a horizontal asymptote at 3x-5

A: We say that Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x)=L or…

Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

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

A:

Q: The quadratic function f is defined as f(x) = - (x+ 2)^2+ 3 Consider the graph of y = f(x) in the…

A: topic - graph of quadratic equations f(x) has vertex at (-2,3)  and y intercept at (0,-1)

Q: find the maximum revenue for the function R(x)=356-0.9x^2

A:

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Find the Curl of the function f=(3x-2y)k ?

A: Given: Find the Curl of the function f=(3x-2y)k We know that curl of f=∇×f