# Find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3

139,073 results
1. ## Algebra

1.Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-2);y=-x-2 A.y=-2x*** B.y=2x C.y=1/2x D.y=-x 2.Write an equation in slope- intercept form of the line that

2. ## Calculus

The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point? Please help. Thanks in advance. We have x2=2xy - 3y2 = 0 Are there supposed to be 2 equal signs in this expression or is it x2 + 2xy - 3y2 = 0 ? I'll

3. ## Math(check)

1)Find the range of the relation [(-1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(-1),if f(x)= x^2-6x/x+2 (-1)^2-6(-1)/-1+2 1+6/-1+2 7/1 =7 3)Find f(a),if f(t)= 2t^2-t-2. 2(a)^2-a-2

Given the curve x^2-xy+y^2=9 A) write a general expression for the slope of the curve. B) find the coordinates of the points on the curve where the tangents are vertical C) at the point (0,3) find the rate of change in the slope of the curve with respect

5. ## math

A curve has implicit equation x^2-2xy+4y^2=12 a)find the expression for dy/dx in terms of y and x. hence determine the coordinates of the point where the tangents to the curve are parallel to the x-axis. b)Find the equation of the normal to the curve at

6. ## Algebra II

What is the equation of the line, in point -slope form, that passes through the given point and has the given slope point: (11,3); slope: 4/11 A. y-3=4/11(x+11) B. y-3=4/11(x-11) C. y-3=-4/11(x-11) D. y-11=4/11(x-3) I think it is A or B...just a lil

7. ## Calculus

The curve y = x/(1 + x^2) is called a serpentine. Find an equation of the tangent line to this curve at the point(2, 0.40).(Round the slope and y-intercept to two decimal places.)

8. ## calculus

The point P(7, β4) lies on the curve y = 4/(6 β x). (a) If Q is the point (x, 4/(6 β x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 6.9 mPQ = (ii) 6.99 mPQ =

9. ## calculus

1. Given the curve a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for the line tangent to the curve at the point (2, 1) c. Find the coordinates of all other points on this curve with slope equal to

10. ## calculus

Consider the curve given by the equation y^3+3x^2y+13=0 a.find dy/dx b. Write an equation for the line tangent to the curve at the point (2,-1) c. Find the minimum y-coordinate of any point on the curve. the work for these would be appreciated i don't need

11. ## algebra review!

it says write the equation of the vertical line that passes through the point (7,-3). what do i need to start it off? find the equation for the line with undefined slope and passing through the point (-1,-2). what do i need to start that off? what equation

12. ## Calc

Find a parabola with the equation y=ax^2+bx+c and has slope 4 at x=1, slope -8 at x=-1, and passes through the point (2,15). Thanks

13. ## last calc question, i promise!

given the curve x + xy + 2y^2 = 6... a. find an expression for the slope of the curve. i got (-1-y)/(x + 4y) as my answer. b. write an equation for the line tangent to the curve at the point (2,1). i got y = (-1/3)x + (5/3). but i didn't any answer for c!

14. ## Math

1. Find the slope of the line that passes through the points (-1, 2), (0, 5). 2. Suppose y varies directly with x, and y = 15 and x = 5. Write a direct variation equation that relates x and y. What is the value of y when x = 9? 3. Write an equation in

15. ## Math

1. Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form. 2. Write the equation in standard form using integers (no fractions or decimals): π¦ =

16. ## Calculus

The slope of the tangent line to a curve at any point (x, y) on the curve is x divided by y. What is the equation of the curve if (2, 1) is a point on the curve?

17. ## Calculus

A) The point p(3,1) lies on the curve y= square root x-2. If Q is the point (x, square root x-2) use your calculator to find the slope of the decant line PQ for the following values of x 1) 2.5 2.) 2.9 3.) 2.99 4.) 2.999 5.) 3.5 6.) 3.1 7.) 3.01 8.) 3.001

18. ## Mathematics

Can someone check my answers? 1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33) Yes y=2.75x Yes y=0.6875x*** Yes y=1.375x No y does not vary directly with X ** (For

19. ## Algebra

1.Tell whether the sequence is arithmetic. If it is, what is the common difference? -19,-11,-3,5... A.yes;5 B.yes;6 C.yes;8 D.no 2.What is the slope of that passes through the pair of points? (-6,8),(2,3) A.-3/8 B.-1/8 C.-7/8 D.-5/8 3.Write an equation in

20. ## calculus

Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show that dy/dx= (4x-2xy)/(x^2+y^2+1) b. Write an equation of each horizontal tangent line to the curve. c. The line through the origin with slope -1 is tangent to the curve at point P. Find the

21. ## Calculus Help

Find a parabola with equation y = ax^2 + bx + c that has slope 6 at x = 1, slope β14 at x = β1, and passes through the point (2, 17).

22. ## calculus 1

The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x, 1/(1-x) find slope of secant line. these are the points 2, -1 1.5,2 1.9,1.111111 1.99,1.010101 1.999,001001 2.5,0.666667 2.1,0.909091 2.01,0.990099 2.001,0.999001 using the results from

23. ## math - pls check!!!

Write an equation in point-slope form for the line that passes through one of the following pairs of points (you may choose the pair you want to work with). Then, use the same set of points to write the equation in standard form and again in

24. ## Math

What is the solution of the following equation? 2 β 8x = -6 Is the ordered pair (-2, 9) a solution of the equation y = x - 7? Solve the following equation. 3(z β 2) β z = 4z β 20 Find the slope of the line that passes through the points (4, 8) and

25. ## Calc

The slope of a curve at each point (x,y) is given by 4x - 1. Which of the following is an equation for this curve if it passes through the point (-2,3)? A) y=4xΒ²-x-15 B) y=xΒ²-4x-9 C) y=2xΒ²-x-7 D) y=2xΒ²-x E) y=2xΒ²-x+7

26. ## math

I have a few question so I will number them off. Please answer them for me I have a test tommorow and I am sure this can help other people too. 1.How do you make an equation that passes through a y-intercept and a certain point in slope-intercept form.

27. ## Calc

The slope of the tangent line to a curve is given by f'(x)=4x^2 + 7x -9. If the point β(0,6β) is on theβ curve, find an equation of the curve.

28. ## algebra

Write the equation of the line that passes through point (5, 4) with a slope of 0. would this be x=5 then? no x=5 is the equation of the vertical line passing through (5,4) Any horizontal line, (slope=0), has an equation of the form y = b notice that this

29. ## Math

Choose the equation of a line that is parallel to y = 3x - 2 and passes through the point (-1,-6). y = 3x + 3 y = 3x - 3 y = (-1/3)x + 19/3 y = (-1/3)x - 19/3 *i think it's the last one! The slope must be 3. That is the "m" term in the form y = m x + b So

30. ## Math

Find an equation of the line that passes through the given point and has the given slope Express ur answer in slope-intercept form. (8,0), m=-3

original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the curve b) the line through the origin with the slope .1 is tangent to the curve at P. Find x and y of point P.

32. ## math

i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation of the line through the

33. ## calculus

find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3

34. ## Math

What is the y-intercept of y = 2/3x + 2? I have to write it out but how? A line has a slope of 1/2 and passes through the point (0,5). What is the equation of the line? A)y = 1/2x + 5 B)y = 1/2x - 5

35. ## Algebra

I have an assignment that asks me to write an equation in slope-intercept, point-slope, or standard form for the information given and to explain why the chosen form would be best. Below is the information given. 1. passing through (-1,4) and (-5,2) 2.

36. ## math

find an equation in slope-intercept form of the line that has slope 2 and passes through point A(-8,7)

37. ## AP calculus

Find the equation of the normal to the curve f(x) = 3cos(2x) at the point x = 0. In class, we learnt to find the derivate of the function, which would represent the slope. After I did that, I found the slope to be 0.. but that is not what my graphing

38. ## math

how to find the slope of the curve 17x^2+12xy=100-8y^2 at the point where y=1. -i already d/dx but i didn't know how to find the slope of curve bcus they only give y. d/dx=(-34x-12y)/(12x+16y)

39. ## math

how to find the slope of the curve 17x^2+12xy=100-8y^2 at the point where y=1. -i already d/dx but i didn't know how to find the slope of curve bcus they only give y. d/dx=(-34x-12y)/(12x+16y)

40. ## Algebra

Please Check My Anwsers What is the slope of the line in the graph show below? /content/media/390571-1122011-42500-PM-1076804072.png A) -2 B) -1 C) 1 (My Choice) D) 2 Find the slope of a line that passes through (β2, β3) and (1, 1) A) 1/3 B) 1 C) 2 (My

1. a.) Find an equation for the line perpendicular to the tangent curve y=x^3 - 9x + 5 at the point (3,5) [* for a. the answer that I obtained was y-5 = -1/18 (x-3) ] b.) What is the smallest slope on the curve? At what point on the curve does the curve

42. ## calculus

A curve passes through the point (1,-11) and it's gradient at any point is ax^2 + b, where a and b are constants. The tangent to the curve at the point (2,-16) is parallel to the x-axis. Find i) the values of a and b ii) the equation of the curve

What is the y-intercept of y = 2/3x + 2? I have to write it out but how? A line has a slope of 1/2 and passes through the point (0,5). What is the equation of the line? A)y = 1/2x + 5 B)y = 1/2x - 5

44. ## Calc

Find an equation of the curve whose tangent line has a slope of f'(x) =2x^-10/11, given that the point β(-β1,-4β) is on the curve.

45. ## algebra

what is an equation of the line in point slope form that passes through the given point and has a given slope.(8,-8);slope 3. caon someone explain

46. ## Algebra2

Are these Correct? Write an equation for the line in point/slope form and slope/intercept form that has the given condition. 1. Passes through (3, 2) and is parallel to 2x-y=4 = 4x+y 2. Passes through (-1, -1) and is perpendicular to y = 5/2x + 3 =6\7x-2

47. ## Calculus Help Please!!! Check

A curve passes through the point (0, 2) and has the property that the slope of the curve at every point P is three times the y-coordinate of P. Find an equation of the curve. dy/dp = 3y or β« (3/y) dy = β« dp or 3 ln(y) = p + c or @ (0,2) ln(2) = 0 + c

48. ## Calculus

Find the xy-equation of the curve that passes through (-2, -2) and whose slope at any point on the curve is equal to 5 times the x-coordinate of that point

49. ## Calculus

A curve passes through the point (7,6) and has the property that the slope of the curve at every point P is 4 times the y-coordinate of P. What is the equation of the curve? Simplify the equation as much as possible.

50. ## separation of variables

Find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3.

51. ## separation of variables

find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3

52. ## calculus

is the answer to find an equation of the curve that passes through the point (1,1) and whose slope at (x,y) is y^2/x^3 is y=2x^2-1

53. ## calculus

Determine the equation of a curve in the xy-plane that passes through the point (0, 1) and has the slope x2 sin 4x at any point (x, y) on the curve.

54. ## calc

for the parametric curve defined by x=3-2t^2 and y=5-2t ...sketch the curve using the parametric equation to plot of the point. use an arrow to indicate the direction of the curve for o

55. ## geometry

I would love for someone to check my work on the seven problems that I did. I would be eternally grateful. I am going to list my problems and answers. Even if you only want to check one of them, that would be great. 1. Write an equation of a line in point

56. ## Math

Given that xΒ²cos y-sin y=0 ,(0,Ο): a)verfiy that given point is on the curve. b)use implicit differentiation to find the slope of the above curve at the given point. c)find the equation for tangent and normal to the curve at that point.

57. ## calc

The slope of the tangent to the curve y=f(x) is given by (1/9)(x^2)(y^2). The curve passes through the point (3,1). Find the value of y when x=3*cubedroot(3).

58. ## Calculus

Hi, I'm absolutely stuck on this problem. This is for a newton's method/linearization unit. Find an equation for the curve in the xy-plane that passes through the point (1,-1) if its slope at x is always 3x^2+2.

59. ## Algebra

What would be the missing piece of information given the following information: Find the slope of the line that passes through the points (2, 6) and (4, 10). m = ? a. 2 b.6 c. 1 d. 9 I think it is c. Remeber the definition of a slope. It is the change in y

60. ## Math

. Given that xΒ²cos y_sin y=0,(0,Ο). A. Verify that the given points on the curve. B.use implicit differention to find the slope of the above curve at the given point. C.find the equation of tangent and normal to the curve at that.

61. ## Calculus

The slope of the tangent to a curve at any point (x, y) on the curve is -x/y . Find the equation of the curve if the point (3,-4) on the curve.

62. ## Equation of a straight line.

1. Find the equation of the line described in each case: a) Gradient 3, cuts through (0, 6). b) Steepness of 4, passes through (0, -2). c)Parallel to y = 5x - 1, cuts the y-axis at (0, 10). d)Cuts through (0, 7) and (5, 17) 2. Here are 3 eqautions: A. y +

63. ## AlGEBRA 2 (check answers plz)

What is the equation of the line that has a slope of -2 and a y-intercept of -7? y = -2x - 7

64. ## Math

The point P(8, β3) lies on the curve y = 3/(7 β x). (a) If Q is the point x, 3/(7 β x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 7.9 mPQ = (ii) 7.99 mPQ =

65. ## Calculus

The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (3, 1) is a point on the curve? A. x^2 + y^2 =8

66. ## Calculus - Damon

Find the line which passes through the point (0, 1/4) and is tangent to the curve y=x^3 at some point. So I found the derivative which is 3x^2. Let (a, a3) be the point of tangency. 3x^2 = (a3 - 1/4)/(a-0) I'm not sure how to solve for a. Yes, the point is

67. ## algebra 2

What is the equation of the line that has a slope of -2 and a y-intercept of -7? y = -2x - 7 y = -7x - 2

68. ## math

find the equation (in slope intercept form) of the line with the given slope that passes through the point with the given coordinates slope:-5/8, ordered pair (0,1)

69. ## Calc I

Find an equation of the tangent to the curve at the given point. y=4(sinx)^2 point: pi/6,1) So I took the derivative of the original function to get: y' = 8cosx*sinx I then chose a point to plug in to find a point for the slope. i picked pi/6 because i

70. ## math

(a) Integrate wrt x:(γ2xγ^4- x^2+2)/x^2 (b) The gradient of the tangent at a point on a curve is given by x2 + 2x β 2. Find the equation of the curve if it passes through (2,3).

71. ## calculus

Suppose y is defined implicitly as a function of x by x^2+Axy^2+By^3=1 where A and B are constants to be determined. Given that this curve passes through the point (3,2) and that its tangent at this point has slope -1, find A and B.

72. ## math

consider the curve defined by the equation y=a(x^2)+bx+c. Take a point(h,k) on the curve. use Wallis's method of tangents to show that the slope of the line tangent to this curve at the point(h,k) will be m= 2ah+b. have to prove this for tow cases: a>0 and

73. ## Algebra

Hey, can someone help me out with these questions? 1. Find the slope of the line that passes through (-2,-3) and (1,1). A) 1/3 B) 1 C) 2 D) 4/3 2. A line with slope = 1/2 passes through the points (2,5) and (x,3). What is the value of x? A) -1 B) 1 C) -2

74. ## algebra

Hey, can someone help me out with these questions? 1. Find the slope of the line that passes through (-2,-3) and (1,1). A) 1/3 B) 1 C) 2* D) 4/3 2. A line with slope = 1/2 passes through the points (2,5) and (x,3). What is the value of x? A) -1 B) 1 C) -2*

75. ## algebra

Hey, can someone help me out with these questions? 1. Find the slope of the line that passes through (-2,-3) and (1,1). A) 1/3 B) 1* C) 2 D) 4/3 2. A line with slope = 1/2 passes through the points (2,5) and (x,3). What is the value of x? A) -1* B) 1 C) -2

76. ## algebra

Hey, can someone help me out with these questions? 1. Find the slope of the line that passes through (-2,-3) and (1,1). A) 1/3 B) 1 C) 2* D) 4/3 2. A line with slope = 1/2 passes through the points (2,5) and (x,3). What is the value of x? A) -1 B) 1 C) -2*

77. ## calc

The slope of the tangent line to a curve at any point (x, y) on the curve is x divided by y. What is the equation of the curve if (3, 1) is a point on the curve?

78. ## Calculus

The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 β y2 = 15 x2 + y2 = 15 x + y = 15

79. ## Calculus

Find the equation of the curve passing through P (1,2) whose slope is the square root of the product of the coordinates of any point on the curve.

find the point slope form of an equation of the line that passes through the given point and has the given slope (-3.-2) m=1/2 a) y + 2 = 1/2 (x - 3) B) y - 2 = 1/2 (x - 3) C) y - 2 + 1/2 (x - 3) D) y + 2 = 1/2 (x + 3)

81. ## math

1 A particle is moving in a stright line with the position at any time t is given by s= tΒ³β9tΒ²+3t+1,where s in meters and t in second. Find its position and acceleration when velocity is Β―24m/s 2. Given that xΒ²cos y_sin y=0,(0,Ο). A. Verify that the

82. ## math

The curve C with equation y=fx passes through the point (3, 14/2) given that f'(x)=2x+3/xsquared a) find f(x) (5 marks) b) verify that f(-2)=5 (1 mark) c) find an equation for the tangent to C at the point (-2,5) giving your answer in the form ax+by+c=0

83. ## maths

The curve C with equation y=fx passes through the point (3, 14/2) given that f'(x)=2x+3/xsquared a) find f(x) (5 marks) b) verify that f(-2)=5 (1 mark) c) find an equation for the tangent to C at the point (-2,5) giving your answer in the form ax+by+c=0

84. ## Math

Write the slope intercept form fo an equation of the line that passes through the given point and has the given slope 1. Point (1,1) Slope 1/4 Formula y-y1=m(x-x1) Answer : y=1/4x+0

85. ## Calc :(((((

The curve y = x/(1 + x^2)is called a serpentine. Find an equation of the tangent line to this curve at the point (4, 0.24). Round the slope and y-intercept to two decimal places.)

86. ## Chris

The curve y = x/(1 + x^2) is called a serpentine. Find an equation of the tangent line to this curve at the point (2, 0.40). (Round the slope and y-intercept to two decimal places.)

87. ## Calculus

The point P(4,2) lies on the curve y=x^1/2 If Q is the point (x,x^1/2) use your calculator to find the slope of the secant line PQ for the following values of X: 1)3.5 2)3.9 3)3.99 4)3.999 5)4.5 6)4.1 7)4.01 8)4.001 i plugged these points into the intial

88. ## Ap Calc AB

Find the equation of the line tangent to the curve at (5, -3) (x-2)^2 + (y+3)^2 = 9 I solved the derivative to be dy/dx = ((-2x+4)/ (2y+6)) when i plugged in the points (5, -3) I got the slope as -6/0...How is this possible?? How can i find the equation of

89. ## Algebra2

Write an equation for the line in point/slope form and slope/intercept form that has the given condition. Help?.. 4. Slope = 3/2 and passes through the origin. 5. x-intercept = 4 and y-intercept = -3 6. Passes through (3, 2) and is parallel to 2x-y=4 7.

90. ## Calculus

The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? a) x^2-y^2=15 b) x^2+y^2=15 c) x+y=15 d) xy=15

91. ## Calculus

The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 β y2 = 15 x2 + y2 = 15 x + y = 15 xy = 15

92. ## Algebra

Could someone correct my answers and help with the other problems? 1. Are the following lines parallel, perpendicular, or neither? L1 with equation x β 5y = 10, L2 with equation 5x + y = 5. Answer: Neither (I'm not to sure but i think this is the right

93. ## Math-check my work please??

Write an equation, in point-slope form, for the line that is perpendicular to y β 10 = 3/2 (x β 4) and that passes through the point (4, 2). My Answer: Formula for point-slope form; y β y = m(x β x) Insert y and x value; y β 2 = m(x β 4) If the

94. ## Calc.

sketch the curve using the parametric equation to plot the points. use an arrow to indicate the direction the curve is traced as t increases. Find the lenghth of the curve for o

95. ## calculus

8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - 5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the x-coordinate where the graph of the function f(x) = e^(-cosx) has a slope of 0. 12. If

96. ## Algebra

Could someone correct my answers and help with the other problems? 1. Are the following lines parallel, perpendicular, or neither? L1 with equation x β 5y = 10, L2 with equation 5x + y = 5. Answer: Neither (I'm not to sure but i think this is the right

97. ## Algebra

I have to find the equation for the line that passes through (4,3) and (6,2) How would I solve this. Into point slope form Into slope intercept form I got the slope each is -1/2 then I got y=-1/2x + b How would I get b?

98. ## Algebra

I need so much help on this please! What is the slope of the line that passes through the pair of points (2,5) and (8,3)? A. 1/3 B. -1/3 C. 3 D. -3 What is the slope of the line? There is a graph but I can't put it on here :/ A. 0 B. 1 C. undefined D.

99. ## Help Calc.!

original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+y^2+1) a) write an equation of each horizontal tangent line to the curve b) the line through the origin with the slope .1 is tangent to the curve at P. Find x and y of point P.

Find the equation of a line that passes through the point (1,2) and has a slope of 1/3. Show how you found the equation. Would the equation be: y-2=1/3(x-1) Do I need to finish this? I am not sure how.