atxm=6 -- @through points (-2,3) and- (4,8)- having Shpe 2 and y-intercept-i through (,4) and- Parallet to the.-axisdthrough (-1,4) and parallel- to the Line-with theequation 3x +4y=2- @through (4.3)-and Perpendicular to the line with the equation =- 0- Find the slope-intercept equation of the-linez

Q: Find the equation for the curve in the xy-plane that passes through the point (1, -1) if its slope…

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Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: Find the equations of both lines that are tangent to the curve y = x - 3x2 + 3x - 3 and are parallel…

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Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: Hello. Can you please explain this problem to me?

A: Slope of the function is the derivative of the function.

Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: In the coordinate plane, linep has slope 8 and y-intercept (0, 5). Line r is the result of dilating…

A: Given:               Slope of line p= m=8 And,                y-intercept = (0, 5)   So,         The…

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A: topic - derivatives and linear equation in two variables

Q: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: Find equations for two lines that are both tangent to the curve y = x³ – 3x² + 3x – 3 and parallel…

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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: What are the coordinates of the points in the graph of y2 – x² + 6x – 13=0 in which the tangent line…

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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: Q3: Find equations of all lines having slope (-1) that are tangent to the curve y = 1/(1-x)

A: y=11-x Also, the given Slope is -1

Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: The Line (L2) that pass through point (-2,1) and perpendicular to the Line (L1)=y= 0.5x +2, Fill in…

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Q: What are the coordinates of the points in the graph of y-x+6x-13=0 in which the tangent line is…

A: Given query is to find the point where tangent line is horizontal.

Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: An equation of a line through (-12, 13) which is parallel to the line y = -3x +3 has slope: -3 ...…

A: The slope intercept form of equation of straight line is y=mx+b, where  m is the slope and  b  is…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

A:

Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is…

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Q: The equation for line A is y =z + 4. Suppose line A is parallel to line B and point (-3, 1) lies on…

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Q: the equation of the line for the 1- Passes throage (-I,1) with slope b- Passes throughe (3,4) and…

A: a) Equation of the line passing through  (-1,1) with slope -1. This could be solved using point…

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

A:

Q: For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at…

A: We have to solve the problem

Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +…

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Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

Q: Find the equation of the tangents: y=x² + 6x² + 10x + 8 parallel x-y= 2. to the line А.…

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Q: The line y = 2x - 9 is tangent to the parabola y = x'2 + ax + b at the point (4,-1). What are the…

A: Given y=2x-9 is tangent to y=x2+ax+b at (4,-1) So, y=x2+ax+b passes through (4,-1)Put x=4 and…

Q: Find an equation of the curve that passes through the point (1, 1), and has the given slope y′ = −…

A: y'=-9x16yPasses through (1,1)Formula∫xndx=xn+1n+1+C

Q: Find the equation of a curve for which y” = 6x – 4 and which passes through (1,2) and (-2 ,5)

A:

Q: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin.…

A: Given, y=ax2+bx+c

Q: or the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A:

Q: What is the distance between the line with Cartesian equation x-5 = y-9 = z-3 and the line with…

A: The given equations of lines are: x-51=y-91=z-31 and x-81=y-131=3z-41

Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: We are allowed to solve only first 3 sub parts. kindly repost others. Thank you     Given 1. Passing…

Q: (-2,4) parallel to y=-3/2x+3

A:

Q: Find an equation of the curve that passes through the point (1, −2), and has the given slope y′ =…

A:

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A:

Q: Find equations of all lines having slope −3 that are tangent to the curve y=3/(x−4)

A: Equations of all lines having slope −3 that are tangent to the curve y=3x-4

Q: What are the coordinates of the points in the graph of y? - - x2 + 6x – 13 = 0 in which the tangent…

A: Note that the slope of a horizontal line is zero. Also the slope of a tangent is given by the…

Q: Find an equation of the curve that passes through the point (8, 2), and has the given slope y′ =…

A: Solution:-We have to find an equation of the curve that passes through  the point (8,2) and having…

Q: Find the x-coordinates of all points on the curve y = 12x" - 96x° - 168x + 26x + 91 where the…

A:

Q: Find the following points of intersection.

A: Given that, y=42xy=2x2

Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…