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

Q: The point on the curve y = 2-x nearest to (3,2) is (1,1) (0,2)

A:

Q: Find the length of the curve defined by Y = 3x³/2 + 3 from x :3 to x = 9.

A: Question: Find the length of the curve defined by y= 3x^3/2 + 3 From x=3 to x= 9

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

A:

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: 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: Find the points of intersection of the line y = 5 x with the curve y = 3 x + x^2

A: In order to find the point of intersection of given line line and curve , we must find values where…

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: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: find an equation of a tangeant line to the curve at the given point y=4.9x-x^2, (5,-0.5)

A:

Q: Find a point on the line 3x − y = 4 that is closest to the point (–2, 3)

A:

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: 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: Find an equation of the line L.   L is perpendicular to y=3x through point (2,6)

A: Compare y=3x with y=mx+bSo, m=3Slope=3

Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

Q: Find the point on the curve y = sqrt x that is closest to thepoint (3,0)

A: Given curve y=x Let A(x,y)  be a point on the curve and let B(3, 0) So distance between A and B is…

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

A: Given the equation of a tangent line:

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

A:

Q: Find the equation of the curve that passes through the point (6, 6) if its slope is given by dy = 7x…

A:

Q: Find the point on the line 3x + y= 9 that Is closest to the point (-5, 1). (x, Y) - (

A: According to question given that Line 3x+y=9, closest to the point (-5,1)We have to calculate the…

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: The distance from the point (2,1) to the line  4x-3y+5=0 is

A:

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

A:

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

A:

Q: Find a possible point of inflection of the curve y x +3x2 + 6x

A:

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

A:

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

A:

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

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

A:

Q: that

A:

Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

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: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: Find a point on the curve y = x2 that is closest to the point (18; 0)

A:

Q: Find the point on the line 6x + y = 7 that is closest to the point (−4, 2).  (x,y)=

A:

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: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: find the length of the curve y = 2x6+1/8x2 from x is greater than or equal to 1 and less than or…

A:

Q: Find the curve whose slope at the point (x, y) is x' +2x² – 7x +9 if the curve is required to pass…

A:

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: What is the equation of a circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3)?…

A:

Q: What point on the curve y = x is closest to the point (5, 0)?

A:

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

A: Let (x, y) be the point closest to the point (5, 0) We will calculate the distance between these two…

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 inflection of the curve y= -x^3+x^2-x+1

A: The expression for the curve is given as, y=-x3+x2-x+1 The expression for the point of inflection…

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

A:

Q: Find the equation of the family of curve whose slope at any point (x,y) is 3x^2+4

A:

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 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…