The point P with x-coordinate 1 lies on the curve y = f(x). Find the equation of
Question:
The point P with x-coordinate −1 lies on the curve y = f(x). Find the equation of the normal to the curve at P, giving your answer in the form ax + by + c = 0 where a, b and c are positive integers.
Transcribed Image Text:
f(x) = x³5x² - 2 + -1 Xx²
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
To find the equation of the normal to the curve at point P1 f1 we need to determine the slope of the ...View the full answer
Answered By
Owino Otieno
My proficiency as a tutor lies in my ability to understand and respond to questions, provide explanations, and offer detailed information on various topics. I can help with academic subjects such as mathematics, science, history, literature, and more. I can also provide assistance with writing, proofreading, and language learning.
I am capable of adapting to different learning styles and can present information in a clear and concise manner. I can break down complex concepts into simpler terms, provide examples and illustrations, and engage in interactive discussions to enhance the learning experience. Additionally, I can offer guidance on problem-solving strategies, critical thinking, and exam preparation.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
A curve C has equation y = x 3 5x 2 + 5x + 2. a. Find dy/dx in terms of x. b. The points P and Q lie on C. The gradient of C at both P and Q is 2. The x-coordinate of P is 3. i. Find the...
-
The curve C has equation y = 4x + 3x 3 /2 2x 2 , x > 0. a. Find an expression for dy/dx. b. Show that the point P(4, 8) lies on C. c. Show that an equation of the normal to C at point P is 3y = x +...
-
Given that f(x) = x 2 6x + 18, x 0, a. Express f(x) in the form (x a) 2 + b, where a and b are integers. The curve C with equation y = f(x), x 0, meets the y-axis at P and has a minimum point at...
-
At December 31, 2018, Landy Products has cash of $24,000, receivables of $18,000, and inventory of $80,000. The companys equipment totals $182,000. Landy owes accounts payable of $22,000 and...
-
Jason Carter works for a producer of soaps that come in packages of 6 each. His job is to fill the packages with soap, and he is expected to process 30 packages an hour. The facility where Jason...
-
Calculate the percentage increase in real GDP in 2017. Use the table, which shows an economys total production and the prices of the final goods it produced in 2016 and 2017, GDP data for 2016...
-
Consider the following cash flow profile and assume MARR is 10 percent/year. a. What does Descartes' rule of signs tell us about the IRR(s) of this project? b. What does Norstrom's criterion tell us...
-
A liquid stream consisting of 12.5 mole% n-butane and the balance a heavy nonvolatile hydrocarbon is fed to the top of a stripping column, where it is contacted with an upward-flowing stream of...
-
1. A thin film is laid over a glass pane as shown. White light is incident on the film, coming straight in. At a point where the light is incident on the film, it appears green ( = 525 nm). Find (a)...
-
Kleibers law is an empirical law in biology which connects the mass of an animal, m, to its resting metabolic rate, R. The law follows the form R = am b , where a and b are constants. The table below...
-
Nigel has bought a tractor for 20 000. He wants to model the depreciation of the value of his tractor, T, in t years. His friend suggests two models: Model 1: T = 20 000e 0.24t Model 2: T = 19 000e...
-
Nickel(II) complexes with weak-field ligands such as the bromide ion have been found to be octahedral, but nickel(II) complexes with strong-field ligands have been found to be square planar. Explain...
-
answer all questions 1) You have just been assigned as a project manager to implement a web-based accounting software for one of your clients. You have chosen a specific change-driven product...
-
1a. A painter needs to paint two walls that are each 9 feet high by 9 feet wide, and another two walls that are 9 feet high by 18 feet wide. First, determine the total area of the four walls.
-
Consider the following information: State of the Economy Probability of State of the Economy Return on A % Return on B % Boom 0.40 10 4 Growth 0.20 -4 0 Normal 0.20 24 16 Recession 0.20 16 20 a)...
-
calculate the monthly sale growth . Feb Mar Apr May Jun $1,292,688 End of Q1 This is a new product line. The sales growth is 35% for the first year of the launch. Allocation of the 35% is Q1 = 20%,...
-
3. John is on a new diet and keeps track of his weight loss each week. In January, he lost 15 2lb the first week, 2lb the second week, 12 4lb the third week, and 11 2lb the last week. How much weight...
-
To what extent can metabolic pathways be considered reversible? Why?
-
Research corporate acquisitions using Web resources and then answer the following questions: Why do firms purchase other corporations? Do firms pay too much for the acquired corporation? Why do so...
-
Identify which pairs of subspecies are significantly different in mean wing length using a two-sided Bonferroni adjusted α level of 0.05? Ornithology Data are available from four source...
-
Perform the test, and report a p-value (two-tailed)? Ornithology Data are available from four source populations of stonechat birds: (1) An African group that resides year-round in equatorial Africa...
-
Repeat the analyses in Problem 12.67 for the mean change in TBUT at 10 minutes post-instillation vs. baseline? Data from 12.67 Use mixed effects methods to compare the mean change in TBUT immediately...
-
Summarize a BASC-3 BESS report with internalizing risk index score of 21 ( extremely elevated risk), self-regulation risk index score 15 (extremely elevated risk), and personal adjustment index score...
-
Match the description of a partner's rights with the term. Drag and drop application. Capital interest Capital interest drop zone empty. Profits interest Profits interest drop zone empty. Partnership...
-
What is the ones digit in the number 22001 ? Hint: Start with smaller exponents to find a pattern.
Study smarter with the SolutionInn App