Question: (a) Where does the normal line to the ellipse x2 xy + y2 = 3 at the point ( 1, 1) intersect the ellipse

(a) Where does the normal line to the ellipse x2 – xy + y2 = 3 at the point (– 1, 1) intersect the ellipse
a second time? (See page 192 for the definition of a normal line.)
(b) Illustrate part (a) by graphing the ellipse and the normal line.

Step by Step Solution

★★★★★

3.25 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a We use implicit differentiation to find y Y 2x 2y x The slope of the tangent line at ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

M-C-D (117).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Where does the normal line to the parabola y = x 2 - 1 at the point (-1, 0) intersect the parabola a second time? Illustrate with a sketch.

Where does the normal line to the paraboloid z = x 2 + y 2 at the point (1, 1, 2) intersect the paraboloid a second time?

At what points does the normal line through the point (1, 2, 1) on the ellipsoid 4x 2 + y 2 + 4z 2 = 12 intersect the sphere x 2 + y 2 + z 2 = 102?

Which of the followings is a determinant of pricing when a firm exports its products/services to a foreign market: Group of answer choices: -Home country regulationsry regulations, host country...

Kindly answer the following with solutions: QUESTION 1 A particle is moving along a hyperbola xy = 8. As it reaches the point (4, 2) , the y-coordinate is decreasing at a rate of 3 cm/s. How fast is...

SUPER SECRET NUMBER PUZZLE IMPLICIT DIFFERENTIATION Find the answer to each question. Write your answer in the answer blank to the left. Add up all of your answers. Check to see if your number...

Find an equation of the tangent line to the curve at the given point. y = 6ex cos(x), (0, 6) y = (a) Find an equation of the tangent line to the curve y = 6x sin(x) at the point (/2, 35).A mass on a...

Mohammed Yaaseen Gomdah E WeBWorK assignment due : 03/09/2016 at 03:00am EST. 1. (1 pt) Using disks or washers, nd the volume of the solid obtained by rotating the region bounded by the curves y =...

solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks. 8. {-11 Points] DETAILS SCALCET9 145.027. Find the maximum rate of change...

5. [0.51/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 14.4.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Explain why the function is differentiable at the given point. f (x, y) = y tan(x), 6 The...

A woman in her fifties was riding in a vehicle operated by her daughter. An accident with another vehicle occurred and the woman was treated at a local community hospital for a severe concussion and...

Under what conditions does a quadratic function p(x) = xTKx-2 xTf + c have a finite global maximum? Explain how to find the maximizer and maximum value.

ou want to purchase a new car in 6 years and expect the car to cost $25 comma 000. Your bank offers a plan with a guaranteed APR of 6.5 % if you make regular monthly deposits. How much should you...

An apparatus for measuring thermal conductivity employs an electrical heater sandwiched between two identical samples of diameter 30 mm and length 60 mm, which are pressed between plates maintained...

Determine the position (x, y, 0) for fixing cable BA so that the resultant of the forces exerted on the pole is directed along its axis, from B toward O, and has magnitude FR. Also, what is the...

Product mix, constrained resource. Taylor Furniture produces and sells specialty mattresses. Production is a machine-intensive process. Taylors variable costs are direct material costs, variable...

A company has a 12% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following net cash flows: a. What is each projects NPV? b. What is each projects IRR?...

A bathysphere used for deep-sea exploration has a radius of 1.50 m and a mass of 1.20 X 104 kg. To dive, this submarine takes on mass in the form of seawater. Determine the amount of mass the...

Sulfur forms anionic chains of S atoms called polysulfides. Draw a Lewis electron dot structure for the S 2 2 ion. The S 2 2 ion is the disulfide ion, an analogue of the peroxide ion. It occurs in...

Differentiate. g() = e (tan - )

Differentiate the function. g(x) = x? 3x + 12

(a) Explain how we know that the given equation must have a root in the given interval. (b) Use Newtons method to approximate the root correct to six decimal places. 25 + 94 7x3 11 0, [3,4]

Possible Expected Probability Cash Flow Rate CF rate 0.2 $ 800,000.00 8% 0.55 $ 1,200,000.00 11% 0.25 $ 1,500,000.00 15% $ - 0.00% Please calculate and show work

In a study of binge drinking among undergraduates at Ohio University, a researcher was interested in gender differences as related to binge drinking and to drinking-related arrests.She wanted to know...

Give me an example of why & What design approach is more favor for designing a distributed system? Explain the approach. Explain your reason for selecting this approach.