Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 7x. - Number of answers: Choose onev

Q: Find the point on the line y = 2x + 3 that is closest to the origin.

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

Q: Find the equation of the line tangent to the curve y = 3x?(x² – 6x) at x = 2.

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Q: Q3:-Find the equation of the line tangent to the curve the point (-1,2) (y = 2x?) at

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Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

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Q: + 5

A: Introduction: The tangent of the function of the form y=f(x) at a point a is derivative of this…

Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

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Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Given y5+x3=y2+12x  This is an implicit function.We need to find the slope of given curve at (0,1)

Q: Find the coordinates of the points on the curve y = x³ - 6x² + 14x – 12 at which the tangents have a…

A: We will differentiate with respect to x and equate the same to 5 and find the points.

Q: Sketch the graphs of y = x2 and y = −x2 + 6x − 5, and sketch the two lines that are tangent to both…

A: Given y=x2........... (1) and  y=-x2+6x-5 ..... (2) Sketch the graph using equation 1 and 2  Here…

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 the equation of the line tangent to the curve a = 3t2 +8, y= 8t +3 at t = 2 Answer:

A: The solution is given as follows :

Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: Find the equation of the line tangent to the graph of y = 2x3 – 8x? + 3x – 6 at x = 1.

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Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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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 is…

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Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 4x? – 4x.…

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Q: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: Perpendicular to the line 3x - y =-4; containing the point (–2,4)

A: 3x-y=-4 y=3x+4 here coefficient of x is 3 so the slope of the given line is m=3 and the given line…

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

A: given  y=ax3+bx2+12x-7a=?b=?

Q: Parallel to the line 2x- 3y=-4; containing the point (-5,3)

A: slope of two parallel line are equal.

Q: Horizontal; containing the point (-3,2)

A: We have to find the equation

Q: Find the equation of the straight line described below. At right angles to y = e* at the point where…

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Q: At what point of the curve y = x3 + 3x are the values of y’ and y” equal?

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Q: find the slope of the curve at the point indicated y = x3 - 2x + 7, x = -2

A: Slope of the curve is determined by taking the derivative of the given function:   The given…

Q: Find the slope of the curve y = x2 + 4x - 10 At the point (2, 3)

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Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: Find the slope of the curve defined by the equation x²y – 8 = 0 at the point (2, 2)?

A: The required slope of the given curve can be found as below

Q: Find the equation of the circle, in general form, that is tangent to the line X=−6 andX=10, and…

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Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x°y =…

A: Explanation of the answer is as follows

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Let's.

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

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Q: Find the point on the line y = 5x + 4 that is closest to the origin. (х, у) %3

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Q: Determine the equation of the line tangent to the graph of y when x = 9. 2 + VI

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Q: find the slope of the curve at the point indicated. 19. у %3D 5x — Зх?, X =

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Q: Perpendicular to the line y = 2x - 3; containing the point (1, –2)

A: Equation of a line passing through the point (a, b) and slope m is y-b=m(x-a)

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

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Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find the equation of the family of curves whose slope at any point (x, y) is 2. y 4. equal to the…

A: We need to find the family of curves. NOTE - As per our guidelines we can not solve multiple…

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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

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Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

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Q: The equation of the line that is tangent to the curve y=2x3−6x and is perpendicular to 18y+x+3=0…

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Q: Find the equation of the line tangent to the curve y = 5x^2 − 7x + 8 when x = 3. Write the line in…

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

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