Problem 4 Find a,b,c, and d in the cubic equation y-ax³+bx²+cx+d whose graph has a horizontal tangent line at (- 4,8) and (2,10) Ans: a b C d 2/27 - 2/9 16/9 376/27 -

Q: 20) Write an equation of a line perpendicular to y = x - 5, that passes through the %3D point (4, 0)

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Q: Express 4x^2 + y^2 + 9z^2 + 8x − 4y − 18z − 19 = 0 to its standard form. Also, sketch and name the…

A: Given equation is: 4x2+y2+9z2+8x-4y-18z-19=0 Rearranging the terms we get,…

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

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Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

Q: Transform the equation -y^2+8y+x+12= 0 into its standard form

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Q: The point to which the origin should be shifted in order to eliminate x and y terms in the equation…

A: When origin is shifted from (0, 0) to (h, k), the point P(x, y) changes to P'(x-h, y-k) .

Q: ind the equation of the circle with radius 5 whose center lies on the x-axis and passes  through the…

A: Since the radius of the circle is 5 and its center lies on the x-axis,the equation of the circleis…

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: write the equation of the quadraticfunction whose graph is a parabola containing the givenpoints

A: Let the equation of the quadratic function be: fx=y=ax2+bx+c This function passes through the points…

Q: Each of the following equations defines a geometric object in 3-space. Describe in words what the…

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Q: Find the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

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Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: The roots of the equation x² - 6x + I = 0 are? The equation of the line of symmetry to the curve y…

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Q: Write the equation in vertex form of a parabola with zeros of 5 and 3 and goes through the point…

A: Here we have to find the equation of parabola

Q: the circle (x-2)^2+(y-5)^2=16 is moved up 3 units and to the left 1 unit. where is the center of the…

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Q: Determine an equation to represent the following parabola in intercept form

A: This question is about finding equation of curve by its points

Q: Oy=3x(x - 2), x = 0, x = 2 Oy=3(x - 2), x = 2 Oy=3(x-2)(x + 2), x = -2, x = 2 Oy = 3x (x² - 2x), x =…

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Q: if a line is neither horizantal nor vertical and does not pass through the origin, show that its…

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Q: Which point is on the circle with equation (x-4)^2 + (y+3)^2 = 9 ?

A: The equation of circle is given as (x-4)2 + (y+3)2 =9, it can be written as (x-4)2 + (y+3)2…