Answered: 28. 22a4y2 = 12, (2, 1) (ellipse)

Math

Calculus

28. 22a4y2 = 12, (2, 1) (ellipse)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 48E

See similar textbooks

Related questions

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

Q: y=(2x−1)' (2-3x)* at the point (1,1)

A: We have to determine the equation of the tangent line to the curve y=2x-13 2-3x4, at the point 1,…

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1).

Q: Use implicit differentiation to find the equation of the tangent line at (1,3) to the ellipse…

Q: use implicit differentiation to find an equation of the tangent line to the ellipse at the given…

A: Using implicit differentiation you can find the derivative without separating the dependent variable…

Q: Find the equation of the line that is tangent to the curve y = 4x cos x at the point (T, -47). The…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

Q: Find the equation of the tangent line to the curve y = at 1+7e What is the equation of the line…

Q: Find the equation(s) of the tangent line(s)to the graph of the parabola y = x2 through the given…

A: Given, y=x2

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 an equation for the tangent line to the curve defined by the equation ?x^2y^2+ xy + y = 1 at…

A: Given: x2y2+xy+y-1=0 for finding equation of tangent for given curve at given point, we need to find…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Consider f(x,y)=x2+4xy+8y2-20

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(2 + y²)° at the point (- 3, - 1) 2.…

Q: Consider the following curve. y = 3x2 14x + 1 Find the slope m of the tangent line at the point (5,…

A: Slope of the tangent is obtained by dy/dx

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Explanation of the solution is given below..

Q: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

Q: b) Show that the equation of the tangent line to the x², y? Xox at (xo, Yo) is Yo.y + a² ellipse 31.…

Q: The equation of the tangent line to the curve x² + y? = 9, at (7,-18) is 7 y = 18 7 (х — 7) — 18 18…

Q: Find an equation of the tangent line to the curve 2(a² + s7)° = 25(m² – y) (a lemniscate) at the…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: GivenParametric eqautionx=t-ty, y=g+t2, t=1To findEquation of tangent at t=1

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 2(a? + y?) = 25(æ² – y²) at the…

A: Topic:- application of derivatives

Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

Q: The equation y? (y² – 4) = x² (x ² – 5) is known as the devil's curve. Give an equation for the…

A: Given :

Q: Find an equation of the tangent line to the graph at the given point.

A: The equation of the given graph: x23+y23=5

Q: Find the slope of the tangent line to the curve 3xy- 5y 4 at = 1. ECAD Hint: what is the y-value at…

A: Differentiate at given point

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x?…

A: Equation of tangent at any point (X0, Y0) of slope 'm' is (Y-Y0) = m(X-X0)

Q: Find an equation of the tangent line to the curve 2(1 + )° = 25(x² – 7) (a lemniscate) at the point…

Q: Consider the following curve y = 2x^2-9x+1 a. Find the slope m of the tangent line at the…

A: Given y=2x2-9x+1→ 1 slope of the tangent line is dydx=ddx2x2-9x+1…

Q: Find the equation of the line that is tangent to the curve y = 6x cos x at the point (T, -67). The…

Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

Q: Which of the following is the equation of the curve that passes through (1,3) and having the slope…

A: We want to find true option.

Q: Consider the following curve. y = 2x2 - 10x + 1 Find the slope m of the tangent line at the point…

Q: For the cruciform in the figure below, the equation is x²y2 - 9x2 – 4y2 = 0, find the equation of…

A: To find the equation of the tangent line for the given curve.

Q: Find an equation of the tangent line to the curve defined parametrically by x =? -t and y =t- 32 + 9…

Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by r² -…

Q: Determine the slope of the tangent line to the ellipse 5x? – 6xy + 5y² = 16 at the point P(-1,1).

A: Follow next step

Q: Find an equation of the tangent line to the graph of y? = 4(x - 5) at (6,1).

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

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: The given equation is x2+y2=2x2+2y2-x2,0,12. Differentiate with respect to x,…

Q: (a) The curve with equation y? = x3 + 3x2 is called the Tschirnhausen cubic. Find an equation of the…

A: To determine the equation of tangent line.

Q: Find the equation of the tangent line to the graph of y=(x² – 2)* at x=2. Write your final answer in…

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2).…

Question

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.

The equation is provided as the attached image.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 4 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.