Which of the following points are on the graph of y = x3 - 3x + 1?(a) ( - 2, - 1) (b) (2, 3) (c) (3, 1)

Q: Find the equation of the curve for which = 6- 9x and which passes through the points (0, –1) and (2,…

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Q: Find the point on the line 2x + 6y + 5 = 0 which is closest to the point (2, 0).

A: Let, (h,k) be the point on the  2x+6y+5=0. That is,

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: 3 Graph the equation f(x) = - I + 4. 4 4 2- -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 3.

A: This question is about graphing the line

Q: Find an equation for the graph sketched below 7- 4- -5 -4 -3 -2 -,VI 2 3 4 5 -2 -7- -8+ f(z) =| %3D…

A: Consider the provided graph, We need to find the equation of the above graph.

Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

Q: Find the slope of the curve y = 2x* + 3x + 2x? - 1 at a point where it crosses the x-axis

A: The point where y crosses x-axis the value for y is 0. Find the value for x for which y = 0.…

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: Find an equation for the graph sketched belo 구 -5 4 -3 -2 -1 3 4 -2 -3 -4 -6 -7- -8+ f(x) =| 3. 2.

A: The solution is given below:

Q: find (y" ) for the following equation 3x²-2y'-y=6 at point (2,1)

A: Take the first derivative of the whole term than find y' at given point after this calculate second…

Q: Find the y-intercept of the line. y- 0.7x- 6.5 rintercept: 0

A: Line Y on X is  y=mx+c  m=slope and c=intercept

Q: Find the points of intersection of the curves y = 5x2 - 3x - 2 and y = 2x - 1.

A: We have the equation of curves as y=5x2-3x-2            ⋯⋯1y=2x-1                      ⋯⋯2

Q: Determine the slope of the graph of 3(x2 + y2)2 = 100xy at the point (3, 1).

A: Given: 3x2+y22=100xy we know that slopem at given pointx1,y1 is given by m=dydx|x1,y1 so, we…

Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2

Q: х-у+2z (2,0, – 3) 2x + у-z'

A:

Q: x

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Q: х* - Зx* +2 ,2 y' x? ,2

A: The x-intercept is a point where the y-coordinate of that point is 0. To find the x-intercept put…

Q: Find an equation of the graph that passes through the point and has the given slope. (27, 5),    y'…

A: Consider the equation

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

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

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: Find the y-intercepts: O (-1,0) and (3,0) O (5,0) and (0,-2) O (0,5) and (0, -2) O (0.-1) and (0,3)

A: Remember that y-intercept is the point on the graph where the curve cuts y-axis. i.e. ( 0 , f(0) )…

Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Find the point inflection of the curve 2y=9x²-x³+6

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Q: Find the point on the line 4x+4y+5=0 which is closest to the point (4,3)

A: Given,A line 4x + 4y + 5 = 0 and a point (4,3).The equation of the line can be written as,

Q: Draw the graph of f(x) = 4ª -4 10+ 5- 4 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 I 2 3 4 5 6 7 8 -2- -3 -4…

A: We have to draw the graph of  f(x)=4x-4.

Q: A market analyst working for a small appliance manufacturer finds that if the firm produces and…

A: we are given with profit equation  Lets graph the given equation  the x intercepts are (-45.224,0)…

Q: The graph of linear equation x+2y = 2, cuts the y-axis at:

A: Given linear equation is x+2y=2.

Q: Find the standard form for the equation of the line which passes through the point (5, –19) and…

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

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Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: Find the point on the line 5x + 2y + 7 = 0 which is closest to the point (1, –2)

A:

Q: Find the equations of the curve for which y" = 6x2  and which passes through the points (0,2) and…

A: We have to find equation of curve, With differential equation y" = 6x2  which passes through the…

Q: Graph x- t²- t+y on

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Q: Find the gradient of the graph a) y = 6-3x where x = 5 )y= 12 + x-3x? where x = - 3

A: Find the gradient of the function

Q: 5) y=x² +2x + 2 6) y=x² +2x +4 5.5 4.5 3.5 2.5 0.5 Find EXACT VAlUes Of x-intercepts For EACH F UA…

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Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

A:

Q: Find the point on the line 6x + 2y – 4 = 0 which is closest to the point (5, 1) |

A: Given line : 6x+2y-4=0 6x+2y=42y=-6x+4y=-3x+2 let P be the point on the line  is (x,-3x+2) Now we…

Q: The point P(4, -2) lies on the curve y = -

A: As per our guidelines, we are supposed to answer one question at a time. Kindly repost other…

Q: Find the slope of the curve at the given point. y=2x^3−3x @ (-1,1)

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Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

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Q: 6. Graph f(x) = Vx + 2-3 4- 3- 2- 1- -3 -1- -3- 4- -5+ -6+

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Q: Find the slope of x²y=8 at the point (2,2).

A: Given: x2y=8 To find: Slope of x2y=8 at (2,2)

Q: Which of the following is the y-coordinate for the point that lies on the line y=-3/4x+1 and has an…

A: substitute the  value of x .

Q: 2) Find an equation for the slope of the graph of y=x²+2x at any point.

A: