Calc

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

  1. 👍
  2. 👎
  3. 👁
  1. y-y1=m(x-x1)

    1. 👍
    2. 👎
  2. if
    f'(x)=4x^2 + 7x -9
    then
    f(x) = y = (4/3) x^3 + (7/2)x^2 - 9 x + constant
    use point to get constant
    6 = 0 + constant

    1. 👍
    2. 👎
    👤
    Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    The point P(7, −4) lies on the curve y = 4/(6 − x). (a) If Q is the point (x, 4/(6 − 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

  2. 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

  3. 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

  4. Math

    Consider the graph of the parabola ​f(x)equals=x squaredx2. For xgreater than>0 and hgreater than>​0, the secant line through​ (x,f(x)) and ​(xplus+​h,f(x+h)) always has a greater slope than the tangent line at​

  1. 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.)

  2. math

    Find the slope of the line tangent to the curve y=cos(2x) at the point where x=pi/6

  3. Math

    The point P(8, −3) lies on the curve y = 3/(7 − x). (a) If Q is the point x, 3/(7 − 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

  4. Calculus

    At what point on the curve x = 3t^2 + 2, y=t^3-8 does the tangent line have slope 1/2?

  1. 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

  2. Calculus 251

    The slope of the tangent line to the curve y= 3x^3 at the point (-1,-3) is:? The equation of this tangent line can be written in the form y=mx+b where m is:? and where b is:?

  3. Calc AB

    Suppose that f(x) is an invertible function (that is, has an inverse function), and that the slope of the tangent line to the curve y = f(x) at the point (2, –4) is –0.2. Then: (Points : 1) A) The slope of the tangent line to

  4. Math

    using first principle, find the slope of a tangent line to the curve f(x) = x^2-3x+5 at x=3

You can view more similar questions or ask a new question.