Suppose f(x) is a continuous function where f(9) = 10, f'(9) = -7, and f'(9) = -2. For a final project in engineering at Illinois University, Mackenzie needs the equation of the line tangent to the graph of y = f(x) at x = 9. The equation will be The tangent line intersects the x-axis at x = Based on this information, the graph of y = f(x) will intersect the x-axis somewhere to the Select an answer of this point. Find an approximate solution to f(x) = 0:

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: Determine the equation of the tangent line of the given function: f(x) = 3x² – 2x; (-1,5) y = -8x-3…

A:

Q: If f(x)=x²-10, find an equation of the tangent to the curve passing through the point (5, 1). A. y-1…

A: Given,.Given point is (5,1).

Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

A:

Q: Suppose f(5) - 9 and f'(5) = = - 3. - An object moves along the curve y³ - 3x² f(x) = 5x = 649. For…

A:

Q: What is the equation of the tangent line to the graph of the following function at (2,2)? y=√√√x³ +1…

A:

Q: 6. Two graphs touch at a point if both pass through the point and have the same tangent line there.…

A: To show that the given graphs touch at their intersection point

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Suppose that the slope of the line tangent to the graph of a function f at the point (x, f(x)) is…

A: Using integration.

Q: the equation of the tangent line to the graph of f(x) = 4x3 + 7x² - 8x – 6 at x = -1.

A: