Determine whether the equation defines y as a function of x. 3x - √y = 8

Q: Differentiate the function. G(x) = {/,? + 2x G'(x) = D

A: The given function is Gx=x7+2x4. Obtain the derivative of Gx=x7+2x4 as follows.

Q: For what value of x does the function g(x) - 2x? concave downward? А. x2 -1 x 2 0 С. x 2 -2 D. x< 2…

A: The derivative of a function gives the slope. When the slope continually increases, the function 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: Find the equation of the function g(x) described above.

A: We know that if the graph of function y=f(x) is stretched by a units(a&gt;0, shifted to the right by…

Q: The line y= -3x+b is tangent to the function y=x3-3x2. What is the value of b? -2 -1 1 2

A: At the point of tangency the slope of the curve and that of the line should be equal. Slope of the…

Q: Find the absolute extreme values of the function on the interval. F(x) = Vx, -27sxs8

A: We will first differentiate the function to find the critical points.

Q: t(x, y) x² + y?

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Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.)…

A: To find: The inflection points of the given function. Given information: Calculation: The…

Q: Determine whether the equation defines y as a function of x 6xy − 2y2 = 5

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Q: For what values of x does the graph of f(x) = 2x³ – 9x? – 60x – 3 have a horizontal tangent line?…

A: Given,          fx=2x3-9x2-60x-3 have a horizontal tangent line.

Q: The function y=(x-4)/(x+2) is discontinuous at x equals? O -2 O 1 O 2

A:

Q: eliminate the parameter to find an explicit equation for y as a function of x.  x=4 - 2t, y=5 + 3t

A: x=4-2t x+2t=4 2t=4-x t=0.5(4-x)

Q: The slope of the function f(x) : –2x+3y= 6

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Q: Determine whether the equation defines y as a function of x : xy + 2y = 1

A: we have to determine whether the given equation defines y as  a function of x. given:  xy+2y=1

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

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Q: Determine where the function ?(x) = √2x2 − x − 3 is NOT differentiable. (All under square root)

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Q: The path of Morgan's dive off of a 3 foot diving board is shown by the function: h(x) = – a² + 2x +…

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Q: Determine whether the function is one-to-one.

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Q: Decide whether the equation defines y as a function of x. x?y - x2 + 14y = 0 O Yes, y is a function…

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Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) 9(x) =…

A: x= 0 is the inflection point Therefore (x, y) =(0, 0)

Q: State whether the following statement is true or false. The x-intercepts of a function y = f(x) are…

A: Consider a function f(x).

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) &lt; 0  at x = a

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

A:

Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

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…

A:

Q: Determine whether the equation represents y as a function of x.then fine the domain! y=square root…

A: The given function is y=2x+3. Clearly, this equation represents y as a function of x. It is known…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: Determine whether the equation defines y as a function of x. 2x + |y| = 0

A: Consider the given equation as 2x+y=0

Q: How many x-intercepts would the function shown below have? f(x) = ¤(x – 9)(æ² – 2)(x² + 1) - -…

A: Given, fx=xx-9x2-2x2+1

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A:

Q: (b) y 4. -2 9%= -2 4 -6 -8f y =

A:

Q: Solve the equation for y. Determine if y is a function of x. y+ 1 6x? + 5y = 5

A: Given,

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: The lumberyard is having 380 yd of fencing which means the perimeter of lumberyard is 380 yd. Length…

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: Topic - functions and rectangle

Q: Use the plot command to plot the function f(x) = (0.5x* + 1.1x – 0.9x²)e-0.7* for -3<x<10.

A: For a function, y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: Determine whether the equation defines y as a function of x X^2-4y2=1

A:

Q: Determine whether the equation defines y as a function of x. 22. Зх — 5у %3D7 23. Зх2 -

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

Q: 12. What are the x-intercept(s) to the function f(x) = 3x+15x + 12?

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Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: Find the value of x for which the line tangent to the graph of f(x)-7x2+4x-14 is parallel to the…

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Q: For what value of x does the function g(x) -x³ - 2x2 concave downward? A. x -1 В. C. x -2 D. x< 2

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

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Q: f(a)'() マxtる %3D

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Q: Determine the domain of the function of two variables f(x,y)= square root of y+9x

A: We have to determine the domain of the function of two variables f(x , y) = √(y + 9x) Since ,  f(x ,…

Q: The function f(x) = 3x + 10 has a vertical shift of how many units? %3D

A: The graph of the given parabola equation is

Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.