x² + y² 3. Find the equation of the curve whose slope at any point is equal to and which passes through ху the point (1,2).

Q: Q1/ Wirte the equation of Line (L2) that pass through point (-2,1) and perpendicular to the Line…

A: The distance between point Px0,y0 and line L : ax+by+c =0 will be                        D…

Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

A:

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

A:

Q: 11. Find the slope-intercept of equation of the line J through (1, -5 H having an equation of 3-y =…

A:

Q: Slope of the line ar equation: 2x+4y=7 is:

A: The given equation is 2x+4y=7.

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

A:

Q: 6 Find an equation of the line to the curve Y= √x that is parallel to the line 6x +Y=1. Y =

A:

Q: 6. Determine an equation of oNE of the two lines tangent to the curve x?y +2xy² = x + 6y, when x =…

A:

Q: Find the general equation Ax + By = C for the line with slope m y-intercept - 2. and

A: Given:General equation Ax+By=Cslope m=-23y-intercept  -2Equation:y=mx+b

Q: Find the slope of the curve defined by the equation yx^2 – 8 = 0 at the point (2,2)?  a. 2 b. –1 c.…

A:

Q: 39. Determine the equation of the line perpendicular to at its y-intercept.

A:

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

A:

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: What is the equation of the curve whose slope at the point (x, y) is 3x² if the curve is also…

A:

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: b) Determine the equation of the line that goes through the point (-1,2) and crosses the positive x-…

A:

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 the equation of the line tangent to the curve (x-2)^2=-4(y+3) at (2,-3)

A: Given data:     The expression for the equation of the curve is: (x-2)2=-4(y+3). The given point is:…

Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: 3. Find the slope of the graph tangent to the curve y =x* - 2x3 +x that passes through the point (2,…

A:

Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

A:

Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: The equation of the curve passing through the point (2, 3) and having slope 6x^2 - 8x + 1 at every…

A: Solution is given below:

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

A:

Q: Find the equation of the curve whose slope at any point is equal to x+1/x+y/x and which passes…

A:

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A:

Q: What is the equation of the curve that passes y? slope of at any point (x, y)? Væ+3

A: Given, slope of the curve at any point (x, y) is  y2x+3.

Q: Q1/ Wirte the equation of Line (L2) that pass through point (-2,1) and parallel to the Line (L1)= y=…

A: In the given question we have to write the equation of the line that passes through the point (-2,1)…

Q: 59. Find equations of both lines that are tangent to the curve 3x23x-3 and are parallel to the line…

A: First we find the slope of the tangent:Slope of the tangent is the derivative of the given…

Q: Q1/ Wirte the equation of Line (L2) that pass through point (-2,1) and parallel to the Line (L1)= y3…

A:

Q: The slope of the line with equation  y = 8x − 5  is  , and its y-intercept is  (x, y) =

A:

Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: Given that a line passes through (x1, y1) and has a slope m

Q: B) Find the equations of all lines having slope-1 that are tangent to the curve y = -3)

A:

Q: Find the equation of the line that passes through the point (-3, 5) and is parallel to the line X+…

A:

Q: 3. Find the equation of a straight line L1 that is perpendicular to 6x + 2y + 43 = 0 and passes…

A: Slope-intercept form is given by: y = mx + c whre m is the slope, and C is the y-intercept.…

Q: The point-slope form of the equation of a nonvertical line with slope m that passes through the…

A: We will derive this formula using the equation for the slope of a line. let us consider a line whose…

Q: x - Find the equation of the line tangent to y = at the point (– 3, – 2). Write your answer in slope…

A: Given curve is y=x2-1x-1 Differentiate y with respect to x using Quotient rule of differentiation.…

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

A:

Q: The slope of the curve y^2-xy-3x=1 at the point (0,-1)

A:

Q: Q1 Find the equation of the line passes through the point (5,2) and normal to the line that has the…

A: Given: The equation of line y = 2x+4. To find: The equation of line that passes through the point…

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: 9. Find an equation of the line tangent to the curve y = 2x - 7x2 + 10 at the point (3, 1). y = 12

A: Given that, the curve is y = 2x2 - 7x2 + 10  To find the tangent line to curve at point (3,1)   To…

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: 4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through…

A:

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

A:

Q: What is the equation of the curve whose slope at any point is equal to 1 y x +÷+2 and which passes…

A:

Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

A:

Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.

Q: Find the slope of the curve x3y3 + y2 = x + y at the points (1, 1) and (1, -1).

A: Given,