1(x) = Step 2 of 2: Find the length of the individual line segments of this function. Then, find the positive vertical separation between each line segment. Simplify your answer.

Q: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: Determine the slope of the curve y =1/x+1 at point (−2,−1).

A:

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

A:

Q: Find an eqaution of the line tangent to the graph f(x) = 3x2 - 5x at the point (1,-2).

A: fx=3x2-5x Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

A:

Q: Suppose that Bianca walks at a constant rate of 3 miles per hour. Explain what it means that the…

A: Linear function has variable in power of 1 only, i.e., there is no power of variable more than one.…

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

A:

Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: Find the slope m of the line tangent to the graph of the function f(x)=9-x^2 at point P(4,-7).

A:

Q: Find the slope and equation of the line tangent to f (x) = x² – 4 at the point (3, 5).

A:

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: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A:

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

A: Given the equation of a tangent line:

Q: The second edition of a textbook was 799 pages long. By the time it got to the sixth edition the…

A: Suppose, L represents page length and n represents the edition number. The points are written as (n,…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Consider the given statement if the graph has three x intercept then it must have at least two…

Q: Consumers will demand 1380 items at a price of $4.25/item. When the price per item increases to $7,…

A:

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

A:

Q: Find an equation of the line tangent to thegraph of f(x) =3/x at (2,3/2)

A: Given: y=fx=3x, 2,32 for finding of equation of tangent at given point we need slopem of tangent at…

Q: Consider the function f(x) = 4/¤ + 2 on the interval [4, 5].

A: Given function is, f(x)=4x+2

Q: A rectangular plot requires 2000ft of fencing to enclose it. If one of its dimension is x (in…

A:

Q: The sum of two positive numbers is 60. Find a function that models their product P in terms of x,…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: Find an equation of a line that is tangent to the graphof f(x)= x3 -3 and Perpendicular to the line…

A: If two lines are perpendicular then product of their slope is -1. m1.m2= -1 Equation of a tangent…

Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give…

A:

Q: Find the slope of a line that is tanget to f(x)= 1/x at the point (2,1/2).

A: Given:

Q: Find the slope of the curve at the given point: 1. ( X+2y)^2 =x+10 at (-1, 2)

A: Here I am attaching image so that you understand each and every step. slope of the curve given at…

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

A:

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

A: We have to find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis…

Q: Find the slope of the curve at the point (2,3) * x³ 2x + 1 3/2 1 O 1/2 O 1/4

A:

Q: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: Find the equation of the line tangent to the graph of f(x)= 7x³ +5z2 - 3z- 3 at z = -5. %3D

A:

Q: Find an equation of the line that is tangent to the grapt Function Line 4x-y+2 = 0

A: Since, we have been given up the function:-f(x)=2x2 -(i)Differentiating equation-(i), with respect…

Q: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

A:

Q: Find the slope of a line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: Given: The slope of the line at point (8,3) is given by

Q: Differentiate the function y=sec(3x)+5-2

A:

Q: Find the directions in which the function increases and decreases most rapidly at Po-

A: Given, fx,y,z=4lnxy+lnyz+lnxz, P01,1,1 Direction in which function f increases is given by, u^=∇f∇f,…

Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 5/2 y = 9x…

A:

Q: Find the equation of the family of curves whose slope at any point (x,y) is   2. x/y

A:

Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: A rectangular plot requires 2000 ft of fencing to enclose it. If one of its dimension is x (in feet)…

A:

Q: Suppose that f is a linear function with slope 2 and that f(2) = 3. Find the equation for f. (Use x…

A: We have to find linear equation for given data.

Q: Find the equation of the line that is tangent to the graph of y= x^3 +4/x^2 at point (2,9)

A: The equation of tangent line to y=f(x) at (x0,y0) is y-y0=f'(x0)(x-x0)