1 Find an equation of the line tangent to the graph of f(x) = x? 이) a) at (1,1); b) at c) at a) The equation of the tangent line at (1,1) is y= - 2x+3 (Type an equation using x and y as the variables.) b) The equation of the tangent line at -3 is (Type an equation using x and y as the variables.)

1 Find an equation of the line tangent to the graph of f(x) = x? 이) a) at (1,1); b) at c) at a) The equation of the tangent line at (1,1) is y= - 2x+3 (Type an equation using x and y as the variables.) b) The equation of the tangent line at -3 is (Type an equation using x and y as the variables.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 25E

See similar textbooks

Related questions

Q: Give the equations of the lines through the point (0, 9) that are tangent to the curve y x + 4 Use…

Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line…

Q: B) Find all the points on the curve y=tan x, -n/2<x</2, where the tangent line is parallel to the…

Q: Find the equation of the tangent line to the curve y = (2 In(x))/x at the points (1, 0) and (e,…

A: To find the tangent line equations to the curve: y=2 ln(x)x at points (1,0) and e,e2. Note that, the…

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x2 that pass through…

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 4x2 +…

Q: Find the equation of the tangent line to the curve y=2tan(x) at the point (π/4,2). The equation of…

Q: Find the equation of the tangent line to the curve y = (5 In(x))/x at the points (1, 0) and (e,…

A: Given: f(x)=y=5lnxx Equation of tangent to a function f(x) at (m,n) is given by y-n=f'(m)x-m

Q: sketch the curve ƒ(x, y) = c together with ∇ƒ and the tangent line at the given point. Then write an…

Q: (a) Find the slope of the tangent line to the curve y = x - x3 at the point (1, 0)(i) using…

A: (a) Given equation is: y=x-x3 Then we get, dydx=1-3x2 At the point (1, 0) we get,…

Q: 3 at the point 6, The slope of the tangent line to the curve y = is: | The equation of this tangent…

A: Find slope by differentiating function

Q: The curve below has a horizontal tangent line at the point (4, – 1) and at one other point. Find the…

A: Explanation of the answer is as follows

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x2 that pass through…

Q: The equation of the tangent line to the curve y at the point (2, 5. written in point-slope form is:

A: find equation of tangent line

Q: The slope of the tangent line to the curve y = 4 at the point ( 3, 4 is: 6. The equation of this…

Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this…

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx =…

Q: ric equations for the tangent line to the curve of intersection + y2, 8x - 3y + 4z = 32, (3, 4, 5)

Q: 5. The slope of the tangent line at any point (x, y) on a curve is 10 – 4x, and the point (1, –1) is…

Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

A: To find the equation of the tangent line to the curve y=4sinx at the point π6,2. Solution: Firstly,…

Q: sketch the curve ƒ(x, y) = c together with ∇ƒ and the tangent line at the given point. Then write an…

Q: b) Find the Slopes of a lines tangent to the graph at x = 4, and then build the respective Tangent…

A: Slope of line can be find by taking derivative . Derivative of the equation at the given point is…

Q: How many tangent lines to the curve y= x /(x+1) passthrough the point ( 1,2) ? At which points do…

A: Given : y=xx+1 pass through the point (1, 2) To find: The number of tangent lines to the curve y =…

Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 2 2 At which exact points…

A: Given the curve y=(x)/(x+2) passing through the point (1,2). We need to find at what point does the…

Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

Q: Find the equation of the tangent line to the curve y=5sec(x)−10cos(x)at the point (π/3,5). Write…

Q: Find the equation of the tangent line to the curve y = 4x cos a at the point (7, – 47). The equation…

Q: Sketch the curve f(x, y) = c together with Vƒ and the tangent line at the given point. Then write an…

A: Curve sketch for 2x2 -y = 13 Curve sketch for 3xy = -54

Q: The slope of the tangent line to the curve y 3 at the point 9, is: 3 The equation of this tangent…

Q: Find the equation of the tangent plane to the graph of f(x, y) = 2xy² + 2x³y? at the point (-1,2).…

A: To find the equation of a tangent plane.

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

Q: 5. How many lines are tangent to both of the parabolas y = -1-x² and y = 1+ x?? Find the exact…

Q: The slope of the tangent line to a plane curve y=f(x) at the point (x,y) is given by 3 - 2 m=- + 16x…

Q: There are two tangent lines from the point (0, 1) to the circle x2 + ( y + 1)2 = 1. Find equations…

A: The equation of circle is x2+y+12=1. Compare the above equation with standard equation of circle…

Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 6 2 At which points do…

Q: The curve with equation y2 = 5x4 − x2 is called a kampyle of Eudoxus. Find an equation of the…

A: Given:

Q: Find the equation of the tangent line to the curve y = x *sqrt(x2 + 5) at the point (2,6

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in…

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

Q: Use a graphing utility to sketch the intersecting graphs of the equations and show that they are…

A: Orthogonal curves are the curves whose tangent lines are perpendicular at every point of…

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

Q: An equation of the tangent line to the curve C at the point (1, 2) is A y-2=--(x – 1) 2 B y-2=2(x-1)…

Q: 3. Determine if there is a tangent line in the diagram below. Show your work. 22 24 Is a tangent…

A: NOTE : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an…

Question

1
Find an equation of the line tangent to the graph of f(x) =
x?
이)
a) at (1,1);
b) at
c) at
a) The equation of the tangent line at (1,1) is y= - 2x+3
(Type an equation using x and y as the variables.)
b) The equation of the tangent line at
-3
is
(Type an equation using x and y as the variables.)

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here