calc

posted by .

The slope of the tangent line to the parabola y=4x2–3x+5 at the point where x=–5 is:______
The equation of this tangent line can be written in the form y=mx+b where m is:_________
and where b is:______?

The first to blanks are -43, but what is b? thanks

  • calc -

    y'(-5)= 8(-5)-3=-43

    now for the line
    y= mx+b
    where x,y is a point on the curve
    x=-5, so y= 4x^2-3x+5 solve for the y.
    Now that you have x,y, put it in the equation y=mx+b and solve for b.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc.

    Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, …
  2. calculus

    The slope of the tangent line to the parabola y=4x2–6x+6 at the point where x=5 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

    The slope of the tangent line to the parabola y=4x2–3x+5 at the point where x=–5 is: (-43) The equation of this tangent line can be written in the form y=mx+b where m is: (-43) and where b is:_____________?
  4. calc

    Find an equation of the tangent line to the curve at the given point. y = 6 x sin x P= (pi/2 , 3pi) i know the slope of a tangent line is equal to the first derivative. For that I got 6xcosx + 6sinx but idk how to put that into the …
  5. Calculus

    If a figure shows a function g(x) and its tangent line at the point B=(2,6.8). If the point A on the tangent line is (1.94,6.87), fill in the blanks below to complete the statements about the function g at the point B. g(___) = ______ …
  6. Calculus

    If a figure shows a function g(x) and its tangent line at the point B=(2,6.8). If the point A on the tangent line is (1.94,6.87), fill in the blanks below to complete the statements about the function g at the point B. g(___) = ______ …
  7. Calculus

    Let f(x)=21−x^2 The slope of the tangent line to the graph of f(x) at the point (−4,5) is ______ . The equation of the tangent line to the graph of f(x) at (−4,5) is y=mx+b for m=______ and b=_______.
  8. Calculus

    If f(x)=(3x)/(1+x2) find f′(4)______. Use this to find the equation of the tangent line to the curve y=(3x)/(1+x2) at the point (4,0.70588). The equation of this tangent line can be written in the form y=mx+b where m is: ________ …
  9. Calculus 251

    The slope of the tangent line to the curve y= 3x^3 at the point (-1,-3) is:?
  10. Calculus

    the slope of the tangent line to the curve y=(3/x) at the point (6,0.5000) is?

More Similar Questions