2Find the equation of the Normal Line to the curve y= X at (4, 2).A4х — у — 18 %3D 0в4 x + y + 18 = 0X -4 y + 14 = 04х + у — 18 %3D 0

Answered: Image /qna-images/answer/117620e4-330f-4d19-a7e5-3dec619d3e25.jpg

Answered: Find the equation of the Normal Line to…

Find the equation of the Normal Line to the curve y = X at (4, 2). (A) 4х — у — 18 % 0 B 4 x + y + 18 = 0 (c) x - 4 y + 14 = 0 (D 4x + у — 18 %3D 0

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

See similar textbooks

Related questions

Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately…

A: Given: P(h)=128e-0.157h

Q: What is the equation of the normal line to the curve x2 + y? - 6x - 2y=0 at (2,4)? A) none of the…

A: Explained below

Q: 3) Find the maximum rate of change of f at the given point P and the direction in which it occurs.…

Q: 4- Distribution of velocity (DV) of a molecule is given with the following equation DV = ae bv…

A: DV=ae-bv22eD.v2for DV is maximum Diffrentiate both sides with respect to…

Q: Find the equations of the normal x2 + y² = 1 at the point (2, 1). A y = 2x B) x = 2y 2x + 3y = 3 D…

Q: Q. 1 The velocity of a particle at time t from a point on its path is given by the table 0 10 47 58…

A: We have the plot of the current data as:

Q: estimate using the Linear Approximation and find the error using a calculator. e−0.1 − 1

Q: i) Find the critical numbers of function f (x) = x/x+3 TV. ii) If 2x- y=k is the equation of a…

Q: 4- Distribution of velocity (DV) of a molecule is given with the following equation DV = ae…

A: Given Distribution velocity denoted by DV of a molecule as follow: DV=ae-bV2/2eDV2 Where a, b, e, D…

Q: What is the equation of the normal line to the curve x2 + y? – 6x - 2y=0 at (2,4)? A x+3y- 10 = 0 B)…

A: We need to find equation of normal line.

Q: The equation of line normal to f(x) = (x +4)^(1/2) at Q (0,3) is

Q: What is the equation of the normal line to the curve x2 + y² –6x- 2y=0 at (2,4)? A x+3y+10= 0 B…

A: The given curve is x2+y2-6x-2y=0...(1) To find the equation of the normal line to the given curve at…

Q: Find the equation of the normal line in the curve x2 − 6x + 2y − 8 = 0 at x = 3

A: We need to find equation of normal line.

Q: Find the two points on the curve (xy)² = 2 – xy where the slope of the normal line is I.

Q: What is the equation of the normal line to the curve x2 + y2 – 6x –2y=0 at (2,4)? A none of the…

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

Q: What is the equation of the normal line to the curve x2 + y2 - 6x-2y=D0 at (2,4)? none of the given…

A: Given curve is: x2+y2-6x-2y=0To find equation of normal to curve at (2,4), we need slope of line at…

Q: What is the equation of the normal line to the curve x2 + y? – 6x - 2y=0 at (2,4)? А) Зх-у+10%3D0 B…

Q: Problem3 Find a curve in the xy-plane passing through the point (1, 2) and for which th normal line…

Q: Determine the equation of the sinusoidal regression function for the data. X 25 30 y 140 125 0 120 5…

A: Sinusoidal Regression Sinusoidal regression finds a trigonometric model that gives the curve of best…

Q: 12. Find the slope of the normal line to the curve y = f(x) at the point r = 4 if f(4) = 2 and…

A: Here we will first find the slope of Tangent to f(x) at x=4 And will use it to find the slope of…

Q: The equation of the normal line to the curve y = -Vx that is parallel to -6x +y = 1 (A) y + 3 = –6(x…

A: equation of curve y=-x equation of line -6x+y=1

Q: A particle moves along a straight line with its position given by s(t) = -8t2 + 16t + 1. Find its…

Q: What is the equation of the normal line to the curve x2 + y? – 6x - 2y=0 at (2,4)? Зx+у-10%3D0 x+3y-…

Q: The equation of the normal line to the curve y = -Væ that is parallel to -6x +y = 1 (A) y + 3 = –6(x…

A: Solve by equation of normal Line

Q: Data collected by PH210 students to describe the motion of a person on an amusement park water slide…

A: Note: Hey there! Thank you for the question. We have used Excel to help you solve the question.

Q: answer quickly

A: Topic:- application of derivatives

Q: Find the equation of the normal to the curve x2 + y2 = 5 at the point (2,1). a. y=2x b. x=y c. x=2y…

A: Given that

Q: Find the equation of the normal line to the curve y = 2x - x at (2, 0). O a. 2x - y = 4 O b.x - 2y =…

Q: The equation of the normal line to the curve y = -Va that is parallel to -6x+y = 1 (A) y + 3 =…

A: given, curve y=-x is parallel to -6x+y=1

Q: Find the equation of the tangent plane and normal line to the function f(x,y)= \x +y at the point…

A: Please see the explanation below

Q: Find the equation of the normal line to the curve y = x³+ 3. at (1, 4). %3D O a. x = 1 O b.y = 4 O…

Q: 4y2 4· 3.992 3.013 + 1 Use the linear approximation to f(x, y) = at (3, 4) to estimate (Round your…

Q: What is the equation of the normal line to the curve x2 + y? – 6x - 2y=0 at (2,4)? A x+3y+10=0 B…

A: The given curve is x2+y2-6x-2y=0 at 2,4. We know the equation of the normal line is: y-y1=-1mx-x1…

Q: A researcher collected data on ( X , Y ), and wanted to test if the true relationship is linear.…

A: To test whether true relationship is linear or not, consider Lack of fit F-test. H0: There is no…

Q: What is the equation of the normal line to the curve x2 + y? - 6x- 2y=D0 at (2,4)? (A Зх-у+10%3D0 B…

Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1…

Q: The equation of the normal line to the curve x^2 + y^2 - 6x + 10y + 29 = 0 at (2, -3) is 2x + y = c.…

Q: A whole life policy is issued to (30) with Z=10 for T20. If the force of interest and mortality is…

A: We have to find actuarial present value of the benefit for this policy

Q: What is the equation of the normal line to the curve x2 + y² – 6x – 2y=D0 at (2,4)? A 3x-y+10=0 B…

A: We need to find the normal line to the curve: x2+y2-6x-2y=0 at (2,4) This can be done as follows:

Q: What is the equation of the normal line to the curve x2 + y² - 6x - 2y=0 at (2,4)? A x+3y- 10 = 0…

Q: What is the equation of the normal line to the curve x2 + y2 – 6x – 2y=0 at (2,4)? (А) х+3у-10%3D0…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 33. The atmospheric pressure at altitude h (kilometers) for 11 <h< 25 is approximately P(h) =…

Q: What is the equation of the normal line to the curve x2 + y² – 6x – 2y=0 at (2,4)? A x+3y- 10 = 0 В…

Q: What is the equation of the normal line to the curve x² + y² -6x- 2y=0 at (2,4)? A none of the given…

A: The given curve is x2+y2-6x-2y=0 at 2,4. We know the equation of the normal line is: y-y1=-1mx-x1…

Q: What is the equation of the normal line to the curve x2 + y2 – 6x – 2y=0 at (2,4)? (A) х+3у+ 10%3D0…

Q: 4- Distribution of velocity (DV) of a molecule is given with the following equation DV = ae bv-…

A: Distribution of velocity (DV) of a molecule is given with the following equation

Q: Find the x coordinates of all points on the curve y = (x^3 + 2)^ 1/3 where the normal to the curve…

Q: 30 a) Find the curve fit y =: 1+ Dx using the data linearization for the given points. Yk 1 2 4 PMC…

A: (a) Given, the curve fit y=301+DxA (1) and…

Question

2
Find the equation of the Normal Line to the curve y
= X at (4, 2).
A
4х — у — 18 %3D 0
в
4 x + y + 18 = 0
X -
4 y + 14 = 0
4х + у — 18 %3D 0

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Given: xy=15. Find the equation of the normal line at x=5 a. 3x+5y=30 b. 5x-3y=16 c. 3x=5y d. 5x+3y=34
Let f(x)=x^3-4. Which of these is the equation for the normal line to this curve at the point (2,4)? A. y=1/12x-25/6 B. y=12x-25/6 C. y=-12x-4 D. y=-1/12x-2 E. y=-1/12x+25/6
For the function h(x)= x^3-3x^2-1, determine the equation of the normal line at x=2.
The equation of the normal to the curve f(x) x2 - 5 at x = 2 is (a) y = -1/4(x+2) (b) y = -1/4(x-2) (c) y = 4x-9 (d) y = 4x + 9
Find the equation of the normal line to the graph of y^2-2x-4y-1=0 at (-2,1).
Find the equation of the normal line to the graph of the function Y = Ln (X3 + 4), at the point (-1, 1.09)
One can fit a curve y=f(x) to data points(x1,y1), (x2,y2),.....,(xN,yN) by minimizing the sum of the squared errors:
Find a normal of slope 1/3 to the cubic ay2=x3
Determine the equation of the normal line at the given x-value. 1) f(x) = 4x2 − 14, x = −2 2) g(x) = x/3 + x3, ? = −3
A sample of X and Y scores is taken, and a regression line is used to predict Y from X. If SSY' = 300, SSE = 500, and N = 50, what is(a) SSY?(b) the standard error of the estimate?(c) R2?
y=x^2-2x ; P(3,3) What is the equation of the normal line at P(3,3)? I have attached my work. What am I doing wrong? (I got this type of question wrong three times in a row, so I'm trying to figure out why.)