Give an equation for the tangent line toy2+11 at thepoint (5,2) and sketch it on the graph.-5-1015-5--10

Answered: Image /qna-images/answer/91295c95-1e22-4c07-bad9-5ea949c06d33.jpg

Answered: Give an equation for the tangent line…

Math

Calculus

Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5- 5 10 15 -5- -10

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 3E

See similar textbooks

Related questions

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

Q: 3(x2 + y2)2 = 100(x² – y2), (4, -2) y = Lemniscate y -4 -2 /6 (4, -2) -4 -6 2. 2.

A: This is related to equation of tangent to a curve

Q: Find the slope of the tangent line to the curve cos(За — Зу) — ае -37/2 2 at the point (37/2, 27).

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: Find an equation of the tangent line to the graph at the given point. y = y 8 16 x fix) = 2 X + 16 4…

A: Given that a graph and find an equation of the tangent line at point (-2,-8/5).

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

A: Given, The slope of the tangent line at any point x,y on a curve is 2x. The…

Q: Find equations for the tangent lines to the graph at the given points. 7ху + x %3D 8, (1, 1) and (8,…

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: Given

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

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+7 and the point (1, 3) is on…

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

Q: Find y' and the slope of the tangent line to the graph of (3x - 5y)5 = 2y2-9 at the point (3,2).…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the given…

Q: Find the slope of the tangent line to the graph at the given point. 4xcosy+1=5 at the point…

A: To find the slope of the tangent line we need to find dydx.…

Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

Q: 3. Find the slope of the graph tangent to the curve y =x* - 2x3 +x that passes through the point (2,…

Q: Find the equation of the tangent line at the given point on the following curve. 2. x+y 8, (-2,2)…

Q: Find the equation of the tangent line to the graph of x2y2+ 2xy = 24 at the point (-3, 2).

A: givenx2y2+ 2xy = 24 and point (-3,2)diffentiate this equation for calculating slope of tangent…

Q: Find y′and the slope of the tangent line to the graph of (2x-5y) 5=4y2 -3 at the point (3,1).

A: Find y′and the slope of the tangent line to the graph of (2x-5y) 5=4y2 -3 at the point (3,1).…

Q: find an equation of the tangent line f(x)=x+(6/x) points (x,y)= (-6,-7)

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: Find an equation of the tangent line to the graph of the function at the given point. h(x) - (x? -…

A: Solve the following

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

Q: Find an equation of the tangent line to the curve y =√x at the given point (4,2) Use the…

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the…

Q: Find the coordinates of the point P in the graph at which the tangent line passes through (5, 0).…

A: The given function is fx=16-x2. let the given point P be h,k. It is given that h,k is on fx=16-x2.…

Q: the graph at the given point. (y − 3)2 = 4(x − 5), (9, 7)

Q: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

A: We find y' from the given equation using implicit differentiation To find the slope of the…

Q: 4) Find a formula for the line tangent to the curve at the point (4,4).

Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

Q: Write an equation for the tangent line at the given point 1) x* +y? = 4, (JZ, 2) 2) xy = -4, (2,-2)

Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

Q: Find a point on the graph of /(x)=6x-15 where the tangent line is parallel to the line y+x=1. Seloct…

Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as dy/dx

Q: Find the equation of the tangent line at the given point on the following curve. *+y² =41, (-4. - 5)…

Q: 1- Find an equation for the tangent line to the curve at the given point. Then sketch the curve and…

Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

A: We have to find equation of tangent line to the graph of function: x+22+y-32=37 at -1, 9 We know…

Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the…

Q: Find the equation of the tangent line at the given point on the following curve. 3 3 In (x+y)=x y" +…

A: The given equation is ln(x+y)=x3y3+ln(x2+2)-8, (1,2).

Q: (a) Find the equation of the tangent plane to the graph of : = (1,-1,5). + ) +4 at

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (-1,…

A: Given, x+22+y-32=37 ......1Point -1, 9

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y - 3)² = 37, (-3,…

A: To find the equation of the tangent line of the graph x+22+y-32=37 at the point -3,-3

Q: Find equations of the two tangent lines to the graph of f(x) = x that pass through the point (-1,…

Q: 8) Find the slope of the tangent line to the graph at the given point. (x? - y)? = 4x²y - 3x - y,…

A: The slope of a tangent line to a curve is the differentiation of curve with respect to x at a given…

Q: Find the slope of the tangent line at the indicated point for: а? — 2а at the point (1, —2).

A: This is application of derivative.

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

A: we can obtain the equation of curve by forming a differential equation . we know that the slope of…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)? + (y – 3)² - 37, (-1,…

A: Differentiating with respect to x, we get Now slope of the tangent at (-1, 9) is

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (4,…

A: Given:

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y − 3)2 = 37,…

Question

Give an equation for the tangent line to
y2+1
1 at the
point (5,2) and sketch it on the graph.
-5-
10
15
-5-
-10

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 by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Implicit Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.