2 Here is a graph of f(x) = x² and the line tangent to f(x) at (a,f(a)). The equation of the tangent line is y=-x-25 Find a, f(a), and the slope of the parabola f(x) at (a,f(a)). 1

Q: | If ƒ (x) = 10x ² − 37x + 11, then there are two real numbers a<b such that f(a)=f(b)=4, and the

A:

Q: How do you find the equation of the tangent line to the parabola for y = x2 − 3x − 1 at x = 4.

A: The equation of the given parabola is y=x2-3x-1. We have to find the equation of the tangent line to…

Q: Consider the function f(x) = 4x − x² and the point P(1, 3) on the graph of f. (a) Graph fand the…

A:

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

A:

Q: Parameterize the following portions of curves: (a) e The straight line between (-5, 3) and (11, 11).…

A:

Q: The slope of the tangent line to the parabola y = 2x² + 7x + 7 at the point (4, 67) is: The equation…

A:

Q: f the line tangent to the graph of y =x* – 2x + 1 at x =-1

A: Idea: find the slope of tangent line by differentiation at x=-1 .then find the point on the curve.…

Q: 05:A: Find all points on the curve x²y² + xy = 2 where the slope of the tangent line is -1?

A: Question No. (A): To find all points on the curve where the slope of the tangent line is .Note:…

Q: (2) Find all points on the graph y = x3 - 12x + 9 with horizontal tangents. Find dy d2y and dc d2…

A: Given:

Q: Find an equation of the line tangent to the graph of G(x) = 3e-² at the point (0, 3).

A: To find an equation of the line tangent to the graph of function G(x) = 3e-2x at the point (0,3).

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…