A curve passes through the point A(4, 2) and has equation a. Find the equation of the

Question:

A curve passes through the point A(4, 2) and has equation

a. Find the equation of the tangent to the curve at the point A. [5]

b. Find the equation of the normal to the curve at the point A.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 11:29 PM

See More Questions

Find an equation of the tangent to the curve at the given point by two methods: (a) Without eliminating the parameter and (b) By first eliminating the parameter. 7. x= e', y= (t- 1); (1. 1) 8. x= tan...
Find an equation of the tangent to the curve at the given point by two methods: (a) Without eliminating the parameter (b) By first eliminating the parameter. x = 1 + ln t, y = t2 + 2; (1, 3)
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = 1 + 4t - t2, y = 2 - t3, t = 1
Explain why the economic order quantity is the intersection of the ordering-cost curve and the carrying-cost curve.
You have the opportunity to invest in a new technology that will cost $2,000,000 (now, at time zero). The machine will generate cash flows of $1,000,000 at the end of years 1-5 and require...
Why can the P/E ratio be viewed as a type of payback period?
In a gas turbine, air at a temperature of $15^{\circ} \mathrm{C}$ and 1 bar pressure enters the compressor, where it is compressed to 5 bar. Air enters the turbine at a temperature of \(815^{\circ}...
In each of the following, identify which of the elements of the fundamental principles is most applicable. In addition, discuss what action(s) (if any) you believe auditors should take with respect...
For shooting practice a person uses a pellet gun and an empty pop can. The pop can rests on a flat surface that has a coefficient of kinetic friction 0.500. The pellet has a mass of 0.120 kg and the...
(a) Cody Company sells three different categories of tools (small, medium, and large). The cost and market value of its inventory of tools are as follows Determine the value of the companys inventory...
Find the gradient of the curve at the point where the curve crosses the x-axis. y 5x 10 x
The normal to the curve at the point (3, 6) meets the x-axis at P and the y-axis at Q. Find the midpoint of PQ. y = || 6 x - 2
Suppose that the weather forecast in Exercise 9 indicates a 10% chance that cold weather will reduce the citrus growers profit from $100,000 to $85,000 and a 10% chance that cold weather will reduce...
Consider a symmetrical airfoil with 1 m chord in a wind tunnel experiment where free stream velocity is 37 m/s at sea level conditions. Using the flat plate approximation, estimate the viscous drag...
When preforming credit risk analysis, try to assess the following: Expected Credit Loss= Chance of Default Loss Given Default Comment on overall assessment of the company's credit risk and chance of...
Draft a new customer profitability statement for both alpha hospital and beta hospital using new activity drivers shown below. Work through the following numerical exercise by filling in the template...
Why are the liabilities and cash outlays of a property and casualty insurance company more difficult to predict than for a life insurance company?What are the effects of these differences on the P/C...
Explain the two methods used for estimating Fishing Mortality rate
What behavioral and communication objectives does it appear that Hellman's achieved?
For each of the following reactions, express the equilibrium constant: a) H20 (I) H2 (g) + 02 (g) Ke = 1.0x107 b) Fe2 (g) 2F (g) Ke= 4.9 x 10-21 c) C (s) + O2 (g) d) H2 (g) + C2H4 (g) C2H6 (g) Ke =...
Use interval-estimation methods to determine if the sex of successive births is predictable from the sex of previous births?
We want to relate the indices to blood-pressure level. Provide a scatter plot relating mean SBP and mean DBP, respectively, to each of the salt-taste and sugar-taste indices. Does there appear to be...
Construct indices measuring responsiveness to sugar taste, and provide descriptive statistics and graphical displays for these indices. Do the indices appear normally distributed? Why or why not?...
A ceiling fan with 25-inch blades rotates at 40 rpm. Find the linear speed of the tips of the blades in feet per second.
Conceptually, does the suggested methodology make sense as a way to incorporate country and political risks into capital budgeting? Does this methodology double or triple count some of the risks?...
Explain factors affecting the global business environment. Discuss What is the impact of factors on national and multinational business organizations.

A curve passes through the point A(4, 2) and has equation a. Find the equation of the

Question:

y 2 (x-3)²

Step by Step Answer:

a To find the equation of the tangent to the curve at point A4 2 we need to first find the de...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions