Find the equations of the curve for which y" = 6x2  and which passes through the points (0,2) and (-1,3).

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: 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: Find the equation of the line normal to x3y-2xy2= - 4 at the point (-2,1)

A:

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

A:

Q: The slope of the tangent line to the parabola y = 2x + 5x + 7 at the point (- 4, 19) is: The…

A:

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

A:

Q: Find the equations of the tangents to the curve x = 6t2 + 2, y = 4t + 2 that pass through the point…

A: Equation of tangents: y-y1 = m(x-x1) m=dy/dx To get dy/dx, first get dx/dt then get dy/dt. Now do…

Q: Find the equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

A:

Q: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

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: The slope of the curve defined by the equation y-x + x =-2 at the point (-1,0) is %D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find equations of both lines through the point (2, - 3) that are tangent to the parabola y = x2  + x…

A:

Q: 2. Find the equations of both the tangent lines to the parabola y through the point (3, 16). :-

A:

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: What is the equation of a family of curves orthogonal to 2x2 + y2 = c?

A:

Q: Find equations of both the tangent lines to the ellipse x2 +4y2 =36that pass through the point (12,…

A:

Q: Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 + x.…

A:

Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

A:

Q: Find the equation of the tangent line to the ellipse 25x2+ y2 = 109 at the point (2, 3

A:

Q: equation of the curve that passes through the point (0, 6) and whose slope at (x, y) is x/y.

A:

Q: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

A:

Q: Find an equation of the line through the point (1, 2) that is perpendicular to th = --x +3 Select…

A: The given question is solved below.

Q: What is the length of the curve y3/2+4 from the point (1,5) to (4,12)?

A: To find: The length of the curve y3/2+4 from the point (1,5) to (4,12).

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 equations of the tangent line and normal line to the parabola y=2x2 at the point (2,8).

A: We find dy/dx at x=2 to find the slope of the tangent  Then we use the point-slope formula to find…

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

A: Solve for distance

Q: Find an equation of the curve that passes through the point (0, 2), and has the given slope y′ =…

A: y'=x4y, (0,2) Formula ∫xndx=xn+1n+1+C

Q: 9. at the point (-2,1) Find the equation of the line tangent to y = 2x2 + 1

A: We will find the equation of the line tangent in the following step.

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy =6z-…

A: We have to find y

Q: Find the slope of the tangent line to the parabola y = x2 at the point (2, 4) by analyzing the…

A: We have to find the slope of tangent line to the given parabola y=x2 at the point 2, 4 by analyzing…

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

A:

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 curve in the xy-plane that passes through the point (4,8) and whose slope at each point is…

A: The curve in the xy-plane that passes through the point (4 , 8 ). Slope at each point is 3√x . We…

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 equations of the tangents to the curve x = 9t2 + 9, y = 6t3 + 6 that pass through the point…

A:

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

A:

Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Find the equations of the tangent lines to the circle x2 + y2 = 9 which pass through the point (-7,…

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: The slope of the tangent line to the parabola y 3x + 3x +7 at the point (- 5, 67) is: The equation…

A: Take the derivative and put the given point.

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 equations of both tangent lines to the graph of the ellipse x2/4 + y2/9 = 1 that pass through…

A: We have given equation of curve x24+y29=1 and point 4,0 We will find slope of tangent at any point…

Q: Find the equation of one of the tangent lines to the circle x2 + y2 = 52 that pass through the point…

A:

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 equations of both lines that are tangent to the curve y = x3 - 3x2 + 3x - 3 and are parallel to…

A: The given curve is represented by y = x3 - 3x2 + 3x - 3 and are parallel to the line 3x - y =…

Q: Find the equations of the tangent lines to the circle x2 + y2 = 1 which pass through the point (-4,…

A:

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

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.