Please identify the coordinates of any local and absolute extreme points and inflection points.    y= 8x/x^2 + 4

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: Find the shaded area of diagram that shecked by curve y = x2 + 2x and the line y = -x.

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

A: Given,

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

A:

Q: use the given condition to write an equation for the line in slope int form  passing through (4,8)…

A: To write an equation for the line in slope int form  passing through (4,8) and (7,3)

Q: There is a line through the origin that divides the region bounded by the parabola y = 7x X-axis…

A:

Q: Find the points of intersection of the line y = 5 x with the curve y = 3 x + x^2

A: In order to find the point of intersection of given line line and curve , we must find values where…

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 points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

A:

Q: Find the point in the first quadrant where the line y=4x intersects a circle of radius 5 centered at…

A: Equation of circle : x-h2 + y-k2 = r2 ; where (h,k) is center and 'r' is the radius .

Q: Find the equation of a curve whose tangent line has slope 2x – 5 and the curve passes through the…

A:

Q: find the slope of the tangent line f(x)=9x-2x^2 at(-3,-45)

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: find the slope of the curve at the point indicated.

A: We need to find the slope of the curve at the point indicated, y=5x-3x2,x=1

Q: the guidelines of this section to sketch the curve: y = x+ – 8x

A:

Q: Find the point on the curve y = sqrt x that is closest to thepoint (3,0)

A: Given curve y=x Let A(x,y)  be a point on the curve and let B(3, 0) So distance between A and B is…

Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).

A:

Q: Find the slope and y-intercept of the line through the point (10,9) that cuts off the least area…

A: Equation of line in point slope form : (y - a) = m*(x-b)  Where, slope = m and point = (a,b)

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

A:

Q: ie point where x (-)- %3D

A: Maxima and minima: f(x)=x2+kxWe should find the value of f'(x) Then we calculate the value of x for…

Q: Find the slope and y-intercept of the line through the point (4,10) that cuts off the least area…

A: We have to Find the slope and y-intercept.

Q: Graph: y = f(x) = -6x+ 2 Give: slope y-int domain range

A: Consider  y=f(x)=−6x+2

Q: Find the equation of the family of curves whose slope at any point (x,y) is 3x2+4

A: To find: the equation of the family of curves whose slope at any point (x,y) is 3x2+4  We know that…

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – axis…

A: Solution

Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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 tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

A:

Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…

A: Given : Point (6,6)

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

Q: Find the point on the parabola y= -X-+4 whose tangent line is parallel with y= 3x-5,

A:

Q: Find the equation of the line through the point (2, 5) that cuts off the least area from the first…

A:

Q: Determine the intervals of concavity and point of inflection of curve y=2x^4-3x^2+2x+1

A:

Q: Find the distance between point (5,-1) and line x=3y-12.

A: Given: The point (5, -1) and the line  x = 3y -12. To find: The distance between the given point and…

Q: Determine the equation of the line passing through the point (3,22) which minimizes the area of the…

A: This question is based on application of Derivative. The two-point form of a line passing through…

Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

Q: Find the slope of the curve at the point where 0 = 4

A:

Q: Please provide an example of real life computation and application of slope of a tangent line

A:

Q: 3. 3 3x2 - y2 at (2, –3)

A: If derivative less than 0 then curve is decreasing

Q: Find the point in the first quadrant where the line y=2x intersects a circle of radius 3 centered at…

A:

Q: Select all the tables in which the y-value changes at a constant rate per x-interval.

A:

Q: Find the point on the parabola y= X- + 4 whose tangent line is parallel with y = 3x -5

A: Let a point on the parabola is h,k. Now the slope of the tangent line is given by: m=dydxh,k Since,…

Q: What is the slope of the tangent line to the graph of the solution of y'= 7√y + 3x³ that passes…

A:

Q: There is a line through the origin that divides the region bounded by the parabola y=7x-(2(x)^2) and…

A:

Q: Find the point on the curve y = 3x + 4 which is closest to the point (5, 0). Preview Preview

A: Let (x, y) be the point closest to the point (5, 0) We will calculate the distance between these two…

Q: f(x) =/4 –x ; (-5,3)

A:

Q: find an equation of the tangent line that passes through y=x^3+x+4 at (-(2,-6)

A:

Q: Find the point of inflection of the curve y= -x^3+x^2-x+1

A: The expression for the curve is given as, y=-x3+x2-x+1 The expression for the point of inflection…

Q: Find the exact length of the curve over the given interval. 2sxs3 4x'

A:

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)

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.