The curve C has equation y = 2e x + 3x 2 + 2. Find the equation

Question:

The curve C has equation y = 2e^x+ 3x² + 2. Find the equation of the normal to C at the point where the curve intercepts the y-axis. Give your answer in the form ax + by + c = 0 where a, band c are integers to be found.

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

Step by Step Answer:

Related Book For book-img-for-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

See More Books

Question Posted: Aug 16, 2023 09:50 AM

See More 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 +...
A curve C has equation y = x 2 cos (x 2 ). Find the equation of the tangent to the curve C at the point in the form ax + by + c = 0 where a, b and c are exact constants. P 2 8
Consider the following income statement: Fill in the missing numbers and then calculate the OCF. What is the depreciation tax shield? Sales $643,800 Costs 345,300 Depreciation 96,000 EBIT Taxes (35%)...
Activist groups may have damaging effects on an industry and on consumers of services. Explain and give relevant examples of their motivation, strategies and membership. Be specific in your analysis.
A turning process is in statistical control and the output is normally distributed, producing parts with a mean diameter = 30.020 mm and a standard deviation = 0.040 mm. Determine the process...
There are four shoes in the centrifugal clutch. The mass of each shoe is $5 \mathrm{~kg}$. When the clutch is at rest, the force exerted by spring on shoes is $200 \mathrm{~N}$. The clearance...
Anthony Simpson and Shawna Ryder have operated a successful firm for many years, sharing net income and net losses equally. Blaine Evans is to be admitted to the partnership on June 1 of the current...
Big Boats, Inc. makes luxury speed boats for water skiing. Actual results and the static budget for the year are presented below. Sales commissions are computed at 5% of gross sales. The expected ROI...
A curve C has equation y = 5 sin 3x + 2 cos 3x, - < x < a. Show that the point P (0, 2) lies on C. b. Find an equation of the normal to the curve C at P.
The curve C has equation y = f(x), where The point P is a stationary point on C. a. Calculate the x-coordinate of P. The point Q on C has x-coordinate 1. b. Find an equation for the normal to C at Q....
On November 21, 2016, a flood at Hodge Company's warehouse caused severe damage to its entire inventory' of Product Tex. Hodge estimates that all usable damaged AICPA goods can be sold for $10,000....
The current value of the Chemical Engineering Plant Cost Index (CEPCI) is 485. If at the same time next year the value has risen to 525 , what will be the average inflation rate for the year?
A friend of yours, Timorous ('Tim' for short) Ghostly, who has never taken an Accounting subject, has been assigned a short speech in his public speaking class. In this speech, Tim must describe the...
Suppose that the money supply is $1 trillion and money velocity is 4. Then the equation of exchange would predict nominal GDP to be: a. $1 trillion. b. $4 trillion. c. $5 trillion. d. $8 trillion.
In 2018, manufacturing workers in the United States earned average compensation of $21.86 per hour. That same year, manufacturing workers in Mexico earned average compensation of $3.20 per hour. How...
The interest rate on short-term U.S. government bonds is 4 percent. The risk premium for any asset with a beta = 1.0 is 6 percent. What is the average expected rate of return on the market portfolio?...
The survey from Exercise 1 had also asked the customers to say whether they were male or female. Here are the data: Construct boxplots to compare the ages of men and women and write a sentence...
Design an experiment to demonstrate that RNA transcripts are synthesized in the nucleus of eukaryotes and are subsequently transported to the cytoplasm.
Is pre-existing fracture a confounder in these data? Endocrinology A study of raloxifene and incidence of fractures was conducted among women with evidence of osteoporosis. The women were initially...
What type of study is this? Hypertension Suppose that 200 obese (BMI 25) children and 500 normal-weight (BMI <25) children are identified in a school-based screening for hypertension. Eighteen of the...
What is the RR for hypertension? What is a 95% CI associated with this estimate? Hypertension Suppose that 200 obese (BMI 25) children and 500 normal-weight (BMI <25) children are identified in a...
ou need to electroplate copper onto a 200-mm-diameter wafer. To get a good quality electrodeposit, you find you need to plate with a current density of 30 mA/cm2 . 5-1. How much current should the...
List and discuss 3-5 key differences and similarities between excimers and exciplexes in conjugated polymers. In what device applications are these excited state complexes important and why? (b) What...
Identify the Possible Threat to Internal Validity Using "MR SMITH ID" 5 Points Possible (Fall - 2023) Instructions: Below is a description of a study based on the famous Albert Bandura "Bobo Doll"...

The curve C has equation y = 2e x + 3x 2 + 2. Find the equation

Question:

Step by Step Answer:

y ...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions