Where the graph y = x^3 − 3x^2 + 2x − 10 is concave up and concave down?

Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

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Q: Graph y = 2x – 7. 9. 8+ 7+ 6+ 4- 2+ 1+ -9 -8 -7 -6 -5 -4 -3 -2 1 2 3 4 5 6 7 8 9 -2+ -3+ -4+ -5+ -6+…

A: The given equation is  y = 2x - 7

Q: Graph 2x + y = 1 and y = 2x + 1. How are they similar? How are they different? Show Your Work

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Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: 3. Which graph represents the equation below ソ=ーデマ 1 y3--x+2

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Q: Find the linear function whose graph passes though the point 13, 22 and is parallel to the line y =…

A: Given line 4 : y=3x+8Compairing with y=mx+C , slope of line 4 is m1=3 Hence , the slope of line…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

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: Estimate the x- and y-intercepts from the graph. 2- -9 -8 -7 -6 -5 -4 -3 -2 -1, 2 3 4 5 6 78 9 -2 -3…

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Q: What is equation of the line tangent to the graph of y = x^3 + 3x^2 + 2 at its point of inflection?

A: Given that, The equation of line is given following, y = x3 + 3x2 + 2 We have to find the equation…

Q: Draw accurate graphs of y = 2x + 5, y = 2x 2 + 5

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Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: Find the equation of the curve that passes through the point (8,4)(8,4) if its slope is given by…

A: Given :  Point ( 8,4) Slope (m) = dy/dx = 7x -8

Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

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Q: Write the equation for the graph. 5. 4- 2 -8 -7 -6 -5 -4 4. 1- (-1, =1) -2 (0, –2) -3 |(1, –4) -4 -5…

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Q: Use the derivative to find the vertex of parabola. y = -2x2 + 12x - 5

A: Given equation of parabola is y=-2x2+12x-5. To find the vertex using derivative. Solution: We know…

Q: Next There is a line through the origin that divides the region bounded by the parabola y = 4x –…

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Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: Draw the graph of a quadratic function that has a vertex at (−2,5) and has a y-intercept of 3. Make…

A: Quadratic function and it's graph

Q: Graph y = 5e-xon [-4, 4] by [-1, 20] .

A: Consider the function y=5e-x to plot the graph on the window [-4, 4] by [-1, 20], the horizontal…

Q: Find the equation of the family of curves whose slope at any point (x,y) is 3x2+4

A: To find: the equation of the family of curves whose slope at any point (x,y) is 3x2+4  We know that…

Q: 4)Solve for the family of curves of straight lines with y-intercepts thrice as their corresponding…

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Q: at the line x = 3. %3D

A: Find the volume of the solid generated by revolving the region between the parabola  x=y2+1 and the…

Q: Which point on the graph of y = radical x is closest to the point (7, 0)?

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Q: Find the point on the graph of the equation 16x = y2 that is closest to the point (6, 0).

A: The function is 16x=y2 and the point is 6,0.

Q: 2+3X A ) Sketch the graph 4+2X

A: We Know that steps to draw the graph. Step 1: Identify the variables. ... Step 2: Determine the…

Q: Why does the graph of x2 + y2=4x has it's center at point (2,0)? and not (0,0). And how to try to…

A: Here equation we have given is of a circle : x2+y2=4x.

Q: The equation of the line with slope – 2 that goes through the point ( – 8, – 7) can be written in…

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Q: Find the equation of the curve that passes through the point (8,2) if its slope is given by…

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Q: Find the point of inflection of the curve x^3 – 3x^2 –x + 7.

A: For inflection point, second derivative is zero

Q: graph: {y>−3x+8 {3x+2y<4

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Q: If the pre image reflect over x-axis, what are the coordinates after the transformations ?

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Q: Find the equation of the curve that passes through the point (5,4) if its slope is given by…

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

Q: Your friend claims that the graph of the equation x = 2 is the point (2, 0). How do you react to…

A: To graph the equation

Q: What causes the graph of y = x² to open downward?

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Q: Find the equation of the curve that passes through (1,13) and having a slope of -4x at that point.

A: *given:- slope, dy/dx = -4x points (x, y) = (1, 13)   *to find:- equation of the curve.

Q: What point on the graph of y = x² is closest to the point (3,0)?

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Q: Graph f(x) = +3x 4. %3D 10+ 7- 6- 5 4- 3- 2- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 67 -2 -3- -4…

A: Explanation and solutions is given below....

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x- 3x2 and…

A: Given the parabola : y=7x-3x2Let the line through the origin be : y=mx   , where m is the slope of…

Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

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Q: Sketch graph of Y=-(x)(x)-2 with turning point

A: Given that  y=-(x)(x)-2 To sketch the graph

Q: Find the equation of the curve that passes through the point (6,6) if its slope is given by dy/dx =…

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Q: The equation of the line with slope −1 that goes through the point (−4,−4) can be written in the…

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Q: Find the distance between line 3x + 4y = 10 and point (-2, -1/2)

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Q: Graph the line. 1 y3D-x+4

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Q: There is a line through the origin that divides the region bounded by the parabola y = 2x-6x and the…

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Q: Graph the equation y = -x-4 on the viewing window defined by [-10, 10, 1] by [-10, 10, 1].

A: Equation of a line:y = mx+cm = slopec = y intercepts