The equation of a curve is y = 5 3x 2x 2 . a. Show

Question:

The equation of a curve is y = 5 − 3x − 2x².

a. Show that the equation of the normal to the curve at the point (−2, 3) is x + 5y = 13.

b. Find the coordinates of the point at which the normal meets the curve again.

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 11:24 PM

See More Questions

The equation of a curve is y = x 3 + px 2 , where p is a positive constant. i. Show that the origin is a stationary point on the curve and find the coordinates of the other stationary point in terms...
The equation of a curve is y = 2x + 5/x+1. Find dy/dx and hence explain why the curve has no turning points.
The equation of a curve is y = (3 5x) 3 2x. Find dy/dx and d 2 y/dx 2 .
A 1220-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam. Using the data shown in the drawing,...
Considering the likelihood-of-getting-into-trouble factor, identify three entertainment or sports celebrities that you, as a brand manager, would be reluctant to have endorse your brand for fear they...
E33 (Analyzing financial statements) The chief executive officer of Ginnys Fashions has included the following financial statements in a loan application submitted to Priority Bank. The company...
What strategies distinguish the different types of food retailers?
According to The Wall Street Journal, Mitsubishi Motors recently announced a major restructuring plan in an attempt to reverse declining global sales. Suppose that as part of the restructuring plan...
Check my workCheck My Work button is now enabled1 Item 1 Item 1 10 points Camden Biotechnology began operations in September 2021. The following selected transactions relate to liabilities of the...
John and Sandy Ferguson got married eight years ago and have a seven-year-old daughter, Samantha. In 2020, John worked as a computer technician at a local university earning a salary of $152,000, and...
Find the gradient of the curve at the point where the curve crosses the y-axis. y = 6 2 (x - 1)
Find the gradient of the curve y = (2x 3) 5 at the point (2, 1).
Project benefits may come from a variety of sources. Match the examples of these project benefits to their terms. 1. The new system will be able to identify additional products that customers might...
Over the past 40 years, union membership has declined, and it continues to do so. Instead, many companies are turning to alternative dispute resolution. We know one of the best union avoidance...
Article "A Leader's Journey" by Pamela Kruger Photographs by Nigel Dickson. For this discussion, let's try and unpack the key factors that led to his transformation. 1. What are your key takeaways...
Describe the collaborative roles of the team leader and the team coach in helping a group of people come together to form a team. Recommend strategies for Alex as team leader to use in helping to...
a. Complete the table with all marginal totals and cell counts. b. Calculate the following probabilities. i. For a male to be a Republican. ii. For a voter to be female. iii. For a voter to be either...
1. Will the Coronavirus Pandemic Make Working from Home the New Normal?" Address the following below. Define the problem described in this case. What are the management, organization, and technology...
Give an O(n)-time algorithm for computing the depths of all positions of a tree T, where n is the number of nodes of T.
Using the information presented in Problem 13.4B, prepare a partial statement of cash flows for the current year, showing the computation of net cash flows from operating activities using the...
Suppose the survey is given to 100 subjects. What is the probability of obtaining at least 2 eligible responders who agree to participate? Epidemiology A study was performed to assess the feasibility...
Suppose 1000 potential participants are contacted to participate in the survey. What is the probability that at least 10 of the 1000 participants will be eligible and agree to participate?...
Officers for the Department of Motor Vehicles pull aside every 40th tractor trailer passing through a weigh station, starting with the 12th, for an emissions test? Determine the type of sampling used.
Chapter o Homew ebook 50,000-unit production quantity: $ 227,049 7 70,000-unit production quantity: $ 66,751 d. In addition to mean profit, what other factors should FTC consider in determining a...
Diamond makes downhill ski equipment. Assume that comic has offered to produce ski poles for Diamond for $20 per pair Diamond needs 200,000 pairs of poles per period Diamond can only avoid 5150,000...
17? Which of the following statement is true Select one: a. All evidence must have the same level of reliability b. All evidence must have the same level of persuasiveness C. All are false d....

The equation of a curve is y = 5 3x 2x 2 . a. Show

Question:

Step by Step Answer:

a To find the normal to the curve at the point 2 3 we need to first find the gradient of the tangent ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions