Find the coordinates of the point where the graph of f(r) = 2 i12 crosses its slant asymptote and explain the procedure thoroughly.

Q: Determine the missing coordinates of the points on the graph of the function.

A: The missing coordinates are given in the following graph as follows.

Q: What is the most time-consuming part in using a graphing utility to graph a general second-degree…

A: To discuss about graphing utility.

Q: Hello. Can you please explain this problem to me?

A: Slope of the function is the derivative of the function.

Q: Find an equation of the form f(x)=b•a* +c that has the horizontal asymptotes at y = 350, y-intercept…

A: Please refer the attached image for complete solution. THANKYOU.

Q: Find the point P on the graph of the function y=sqrtx closest to the point (9,0) The x coordinate of…

A: We have to find the point P on the graph of the function y=x closest to the point (9,0). Also, find…

Q: A rectangular billboard 9 feet in height stands in a field so that its bottom is 6 feet above the…

A: To maximize the function, we have to differentiate the function first and then equate with zero.

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

A:

Q: Find the equation of the tangent to the curve y= 3x' – 4x² +2x–10 at the points where the curve cuts…

A:

Q: Find the slope of the secant line connecting the points on the graph f(x)=2h+4x-12, with the given…

A:

Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

A:

Q: Find all the asymptotes of the curve 3x3 2x2y – 7xy? + 2y3 – 14xy+7y² + 4x + 5 = 0 ?

A:

Q: Find the orthogonal trajectories for the family of curves x2 − 2y2 = C . Use a graphing utility to…

A: Concept: Trigonometry is used in finding distance and angles, there are six trigonometric ratios…

Q: Sketch the curve if y' is negative and y'' is negative on the interval of (-infinity, -3) with a…

A:

Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

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: Find the orthogonal trajectories for the family of curves 3x2 − y2 = C. Use a graphing utility to…

A: Given:  The family of curves: 3x2 − y2 = C

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

A:

Q: The cost function is given by equation f(x) = 15,000x +1000 Find the horizontal asymptote and…

A:

Q: 2. Find the equation of the horizontal asympto

A:

Q: Determine the point(s) at which the graph of -8x f(x) = 2х- 1 has a horizontal tangent. (х, у) %3D

A: Solution - The derivative of a function is 0 at a point where the tangent is horizontal. Let us…

Q: How can we find the horizontal and vertical asymptotes of the curve?

A: We find the horizontal and vertical asymptotes of the curve

Q: At which x location on the graph of f(x) = -x² - 2x + 15 is the slope of the tangent 0?

A:

Q: Find the points on the curve y = 2r3 – 3x2 – 12x + 20 - where the tangent is parallel to the x-axis.

A: A straight line parallel to x-axis have slope 0.

Q: Find the vertical asymptote for the function y=3 sec 1/2x in the interval (0,4 pi)

A: The given function is y=3sec12x ; 0,4π

Q: Show that the curve y =  √ (4x2 +9) has two slant asymptotes: y = 2xand y =-2x . Use this fact to…

A:

Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: The shortest distance from the point (5, 10) to the curve x2 = 12y is: 5.127 6.445 4.331 3.474

A:

Q: The tail ends are extended indefinitely in both sides, but do not meet the x-axis, although they get…

A: As per our guidelines we are supposed to answer only one question per post so I am solving first…

Q: Find the length of the curve (Sketch and Solve) One branched of the curve 9y2=4x3 from x = 0 to…

A:

Q: Find the point of inflection of the curve x^3 – 3x^2 –x + 7.

A: For inflection point, second derivative is zero

Q: Determine the points where the curve f(x) = 2x3 + 3x2 – 36x + 1 has a horizontal tangent. -

A:

Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

Q: 2. Find the length of the curve y=- 1 from 1<x<2. 8 4x?

A:

Q: What is the equation of the function for a parabola that moves 2 units to the right of the origin, 2…

A: Given parent function is f(x)=x2

Q: 2. Find an equation of the form f(x) =b.a +c that has the horizontal asymptotes at y = 350,…

A: y=b is said to be a horizontal asymptote of a curve y=f(x) if as x tends to infinity (or -…

Q: Q4. Find the asymptotes of the curve. y³ – 3xy² – x²y + 3x³ – 3x² + 10xy – 3y² – 10x – 10y + 7 = 0

A: The given curve is y3-3xy2-x2y+3x3-3x2+10xy-3y2-10x-10y+7=0. Note that y3-3xy2-x2y+3x3 has power 3,…

Q: Find a point on the curve y = x2 that is closest to the point (18; 0)

A:

Q: The line y=3x+6 is tangent to the graph of y = (-48)/(x-6) at the point ?

A: The given equation of tangent is y=3x+6 and its tangent to graph of y=-48x-6. To find the points at…

Q: For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at…

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

A:

Q: Compute the equation of the horizontal asymptote of the curve y = (2x- 1)/ (x + 2). y = 2 x = 2 X =…

A: Given; y=2x-1x+2   As we know that; To calculate the horizontal asymptote, solve the limit…

Q: Why does Newton's method fail at all of these points in the graph except for x=5, especially when…

A: Since the graph cut at two point. at x=2, x=6 and graph never touch the  negative x-axis. and…

Q: Q1) Find the distance between the oblique asymptote of the function f(x) E***-4 and the x²-2 center…

A:

Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

A: Given equation is   m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…

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: find the arclength of y= 9-x° between its x-intercepts

A: Find the x-intercept.

Q: The number of mosquitos, M(x), in millions, in a certain area of Florida depends on the June…

A:

Q: For what numbers x, - 2nsxs 2r, does the graph of y = sec x have vertical asymptotes?

A: