A curve is such that d 2 y/dx 2 = 8x. The curve has a maximum point

Question:

A curve is such that d²y/dx² = −8x. The curve has a maximum point when x = 1, and the point (2, −1) lies on the curve. Find the equation of the curve.

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

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 14, 2023 11:29 AM

See More Questions

A curve is such that d 2 y/dx 2 = 6x. The curve has a maximum point when x = 1, and the point (3, 2) lies on the curve. Find the equation of the curve.
A curve is such that d 2 y/dx 2 = 8e -2x . Given that dy/dx = 2 when x = 0 and that the curve passes through the point (1, 2/c 2 ), find the equation of the curve.
A curve is such that d 2 y/dx 2 = 20e -2x . Given that dy/dx = -8 when x = 0 and that the curve passes through the point (1,5/e 2 ), find the equation of the curve.
Review TP1. Review current season ticket prices for one Major League Baseball team. Choose one season ticket price area to review. A. Determine what is recognized as per ticket revenue after each...
On December 31, 2015, Lujack Co. held the following short-term available-for-sale securities. Lujack had no short-term investments prior to the current period. Prepare the December 31, 2015, year-end...
A high-level voltage power supply should have a nominal output voltage of 350 V. A sample of four units is selected each day and tested for process-control purposes. The data shown in Table 6E.3 give...
Myers, Montgomery and Anderson-Cook (Response Surface Methodology 4th edition, Wiley, New York, 2016) discuss an experiment to determine the influence of five factors:$x_{1}$ - acid bath temperature...
Tom Loper is an accounting major at a midwestern state university located approximately 60 miles from a major city. Many of the students attending the university are from the metropolitan area and...
1 . Find the degree of freedom or mobility of the following mechanism. 2 . What is the value of Mobility "M" Note: Please how you get the degree of freedom and point out the links and joints. Image...
You counted the petty cash fund balance of Rainbow Corporation at 9:00 o' clock in the morning of January 4, 2022, and you obtained the following details: Bills and coins Paid vouchers (all dated...
A circle with centre C(4, 2) passes through the point P(7, 2). a) Find the equation of the circle in the form (x a) + (y b) = k. b) Find the equation of the tangent to the circle at P.
Find the area bounded by the curve y = x, the x-axis and the lines x = 1 and x = 2.
What is a potential function? Show by example how to find a potential function for a conservative field.
Analyze the frame in Figure P10.16. In addition to the applied loads, supports $A$ and $D$ settle by 2.16 in. $E I=36,000 \mathrm{kip} \cdot \mathrm{ft}^{2}$ for beams and \(E I=72,000...
The first two rows of Routh's array of a fourth-order system are The number of roots of the system lying on the right half of $s$-plane is (a) zero (b) 2 (c) 3 (d) 4 4 S 3 S 1 2 10 20 5
Use this randomly arranged data to prepare a classified balance sheet for Imamani Corporation as of December 31, 20X5. Some of the accounts do not belong in the balance sheet, and 20% of the loan...
Plicta Motors is an automobile service center offering a full range of repair services for high performance cars. The following information is pertinent to adjusting entries that are needed for...
The table shows money income shares in the United States in 2001. Draw a U.S. Lorenz curve in 2001. Was the U.S. distribution of income more equal in 2001 than in 2019 (see p. 489 )? Explain your...
Obtain at least 5 years' worth of daily or weekly stock price data for a stock of your choice. 1. Compute annual volatility using all the data. 2. Compute annual volatility for each calendar year in...
Evaluate the line integral, where C is the given curve. C x 2 dx + y 2 dy, C consists of the arc of the circle x 2 + y 2 = 4 from (2, 0) to (0, 2) followed by the line segment from (0, 2) to (4, 3)
Since 2010 the number of jobs available for people who have not completed high school has decreased. Has this resulted in a change in the proportion of Americans who did not complete high school?...
In the 2010 census, the proportion of divorced White Americans was 10.4%. Has that percentage in 2014 increased? Conduct a statistical test to answer the question (RACE: 1 = White; MARITAL: 3 =...
An increasing number of women are attending university. Women now outnumber men in most college programs. In the 2010 census, the proportion of women with graduate degrees was 10.2% (The census used...
A Describe the relationship between a and b that will make the value of the expression 7x equal to 7.
Find the inverse function of f informally. f(x) = x-5, x 20 f-1(x) =
A tennis ball follows a path described by the function h(d) 144(d-12)+2, where h is the height of the ball above the court and d is the horizontal distance of the ball from the tennis player, both in...

A curve is such that d 2 y/dx 2 = 8x. The curve has a maximum point

Question:

Step by Step Answer:

Given d2ydx2 8x Integrating this with respect to x we ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions