Find the equation of the line tangent to the parabola

Assignment Help Mathematics
Reference no: EM132059944

The plane of equation x + y = 1 intersects the cone of equation z = 4 - sqrt(x^2 + y^2) in a parabola. Verify that the point of coordinates ( 3/7 , 4/7 , 23/7 ) is on that parabola and find the equation of the line tangent to the parabola at the given point.

Hint: Parameterize the parabola by x = t, y =?, z =?

Reference no: EM132059944

Questions Cloud

How much work will it take to pump the gasoline : How much work will it take to pump the gasoline to a level 12 ft above the cone's top? Give your answer to the nearest ft · lb. please show all work.
Setup and use a differential equation : Setup and use a differential equation to determine how long it will take for the room to reach a safe to breathe level of 111picocuries per cubic foot.
Determine how long it will take for the room : Setup and use a differential equation to determine how long it will take for the room to reach a safe to breathe level of 111picocuries per cubic foot.
Which project would you recommend and why : Project S costs $15,000, and its expected cash flows would be $4,500 per year for 5 years. Mutually exclusive Project L costs $37500, and its expected.
Find the equation of the line tangent to the parabola : Verify that the point of coordinates ( 3/7 , 4/7 , 23/7 ) is on that parabola and find the equation of the line tangent to the parabola at the given point.
Define why the strategy will be warranted and justified : What is a promotion strategy for a new breakfast cereal must tie together the product and the market segment to warrant both expenditure of packaging.
Inland from a straight shoreline : A boardwalk is parallel to and 210 ft inland from a straight shoreline. A sandy beach lies between the boardwalk and the shoreline.
What is the irr of the after-tax cash flows for each company : A project requires an initial investment of $100,000 and is expected to produce a cash inflow before tax of $27,000 per year for five years.
Number of donuts sold per day : Consider yourself as an entrepreneur at the Mall selling 5000 donuts a day at 50¢ each. When you raised the price to 70¢ each, the sale dropped

Reviews

Write a Review

Mathematics Questions & Answers

  What is the angle of the persons eyes to the top

A building 240 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)?

  Write the complex number 6cos 330 degrees i sin 330

write the complex number 6cos 330 degrees i sin 330 degrees in rectangular form. please show all of the

  Determine the likely result that will occur

Next, determine the likely result that will occur if those practices were adopted by the United States. Provide support for your response.

  What is the purpose of regression

What is the purpose of regression? Provide two examples of situations in business where regression may be useful. identify the independent and dependent variables give examples.

  What does the shadow price reflect in a maximization problem

How do the graphical and computer-based methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach?

  Question regarding inequalities and equations

How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.

  How good are you with algebra and business statistics

How good are you with algebra and business statistics? Would you be available for entire semesters? DS

  What is the form of the likelihood ratio test

If the two hypotheses have equal prior probability, for what values of x is the posterior probability of H0 greater than that of H1 and what is the form of the likelihood ratio test of H0 versus H1?

  How fast is water level rising when water is twenty cm deep

How fast is the water level rising when the water is 20 cm deep? Possibly 0.2 / (1.8 + 0.5) = .0869m? But WebAssign doesn't accept fraction the 0.2/2.3.

  Find the shortest length of cable needed

A steep mountain is inclined 75 degrees to the horizontal and rises 3400 feet above the surrounding plain. A cable car I to be installed from a point 800 feet from the base to the top of the mountain. Find the shortest length of cable needed.

  What is unrealized gains and losses

Question: What is unrealized gains and losses from cash flow hedging derivatives?

  Reduce the given augmented matrices

In Exercises, reduce the given augmented matrices to their row-reduced echelon form and, where appropriate, use the result to solve the related system.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd