4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through the point ( 2,9).

Q: 2. Find the equation of the line that passes through the points of intersection of the curves y“ = x…

A: We plug x=y2 in…

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation.

Q: Find the equation of the line with the given description. Parallel to y = 3x − 4, passes through (1,…

A: Slope of the line y=3x-4 is 3 A line parallel to it will also have slope= 3 So, slope=m=3 and passes…

Q: y = x(4x – 1)², (5;) \2':

A:

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

A: The slope of a curve at a point is the slope of the tangent to the curve at that point. The slope of…

Q: Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point…

A: Given: y=x3-16x+6, 4,6 we know that equation of line which perpendicular to tangent at given point…

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

A:

Q: The equation of the line tangent to the curve y=3x+4/4x-3 at the point (1,7) is  a) y - 25x=-18 b) y…

A:

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

A:

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

A:

Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

A:

Q: Find the equation of the curve whose slope is 3x^4 - x^2 and passes through point (0,1). a. x3 3x5…

A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

Q: Find an equation of the curve that passes through the point and has the given slope. 4y (32, 6), y'…

A: Here is the solution of the given problem.

Q: m=--. Find the equation of line passing through point (1, 2) with slope 4

A: Equation of the line with the slope m and passing through the point (x1,y1) is:

Q: 4. Find the equation of the line that is perpendicular to -7.x + y = -2 and passes through (1, –3).…

A: Hi,  As per Bartleby rules we are supposed to do only one question at a time.  Kindly repost other…

Q: 2. Find the equation of the curve whose slope at any point (x, y) is 6x - 1 and which passes the…

A: Dear learner, As per our guideline i can solve only one question at once further can be reposted.…

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: 16. A curve whose slope at any point is 4x +1 passes through the point (-1,4). What is its equation?…

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: Write the equation of the line tangent to the graph of y2 = 6y-4x+3 at (-1,-1).  The equtaion is y=…

A:

Q: 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)

A:

Q: 9. Find the equation of the line tangent to the curve y = 3x5 + 10x³ + 15x + 1 at its point of…

A: the given curve , y=3x5+10x3+15x+1 we have to find the equation of the tangent line to the given…

Q: 6. Use the given conditions to write an equation for the line in point-slope form. Slope = -1,…

A:

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: Follow the procedure given below. Here,option is wrong, correct ans i given below with solution.

Q: Find the eqaution of the curve that passes through (0,1) if its slope is given by y'=1/2X at any…

A:

Q: Find the slope of the curve at the given point. 2y5+9x9=7y+4x at (1,1)

A: The given curve is,

Q: What is the slope of the curve at the point (0, 1). x^2+y^2-12x+4y=5

A:

Q: End the Vellue of g) if the slope of the Curve y= x-2x is (2)?

A:

Q: 1) Find the slope of the linels) tongent to the graph of (y+x)²-y =x² at X=0.

A:

Q: 6. Find an equation in the form y = ax³ + bx² + cx + d__whose graph has an x-intercept at x = -1, a…

A: Given: x-intercept at  y = 2 y-intercept at x = -1 slope at (-2,-2) is 5. (-2,-2) lies on the curve…

Q: What is the equation of the line tangent to the graph of y = (2x+3)/(3x-2) at the point (1,5)? 13x -…

A:

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing…

A:

Q: 7. Find an equation of the line tangent to the curve y = 3x² – 1 and perpendicular to the line x

A:

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

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

A:

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

A:

Q: 3. At what point is 2 the slope of the curve y = 4x +x ?

A: Given,           Slope of the curve = 2    Curve y = 4x+x2         First we find y'        y'=  4+2x

Q: 19. What is the equation in slope-intercept form for the line parallel to y = -3x + 9 that contains…

A:

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: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

A:

Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

A:

Q: 14) Identify the point slope form of the line below. A) y - 3-+ 1) B) y+3-1) C) y+3=-+1) y-3D E) y -…

A:

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A: To find the equation of family of curves whose slope is given .

Q: find the slope of the curve at the given points y2 + x2 = y4 - 2x at (-2, 1) and (-2, -1)

A: Slope of the curve is the derivative of the curve at the given point. So differentiating given curve…

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 3 y at any…

A:

Q: 1) Find the slope of the line tangent to the graph of y=x²+1at(2, 5).

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: