A curve is such that d 2 y/dx 2 = 6x. The curve has a maximum point
Question:
A curve is such that d2y/dx2 = 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.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 40% (10 reviews)
Since the second derivative of the curve is 6x the first deriv...View the full answer
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
A curve is such that d 2 y/dx 2 = 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.
-
A curve is such that d 2 y/dx 2 = 45 cos 3x + 2 sin x. Given that dy/dx = - 2 when x = 0 and that the curve passes through the point (, -1), 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.
-
Why should one-time write-offs of fixed capital be used in absorption cost systems?
-
Refer to the data in QS. In questions Use the direct method to prepare the cash provided or used from operating activities section only of the statement of cash flows for this company. CRUZ, INC....
-
Napoleon Corporation purchased a computer on December 31, 2011, for $130,000, paying $30,000 down and agreeing to pay the balance in five equal installments of $20,000 payable each December 31...
-
Although the threat to security via external penetration is often seen as the greatest threat, many threats are internal. Computer frauds include (1) input manipulation, (2) program alteration, (3)...
-
Jackpot Mining Company operates a copper mine in central Montana. The company paid $1,000,000 in 2011 for the mining site and spent an additional $600,000 to prepare the mine for extraction of the...
-
The spinner below is spun twice. If the spinner lands on a border, that spin does not count and spin again. It is equally likely that the spinner will land in each of the six sectors. M RED BLUE RED...
-
John and Nina Hartwick, married 17 years, have a 13-year-old daughter. Eight years ago, they purchased a home on which they owe about $240,000. They also owe $6,000 on a two-year-old automobile. All...
-
The diagram shows part of the curve with equation y = x 12x + 36x. The x-axis is a tangent to the curve at P. a) Find the coordinates of P. The curve has a maximum turning point at Q. b) Find the...
-
The diagram shows part of the curve with equation y = (x 5)(x + 2)(x 3). a) Write down the coordinates of A and B. b) Show that the equation may be written as y = x 6x x + 30. c) Find the total...
-
Karam recently opened a bar & grill. The costs associated with his new business are as follows: a. $300,000 to build the restaurant b. $30,000 for a liquor license c. $50,000 on furniture and...
-
You are thinking about borrowing \($100,000\) for 10 years at 12 percent. Annual interest payments are required at the end of each year and the principal (\($100,000)\) is to be repaid at the end of...
-
Mr. Wang intends to retire in 20 years at the age of 65. As yet he has not provided for retirement income and he wants to set up a periodic savings plan to do this. If he makes equal annual payments...
-
A law firm is considering the dismissal of one of its junior lawyers. The law firm presently has enough space for more lawyers and a growing legal practice but considers this junior lawyer to be a...
-
Spreadsheet programmes are a prominent feature in most businesses. Very often, businesses that have reached a critical size should ideally move to more suitable systems such as accounting software or...
-
A company is considering additional final inspection costs of 1 per unit before delivery to customers. The additional inspection should reduce the defective rate from 3 percent to 1 percent. If a...
-
Using the data represented in Figure 6.19, specify equations relating tensile strength and Brinell hardness for brass and nodular cast iron, similar to Equations 6.20a and 6.20b for steels.
-
Would you use the adjacency matrix structure or the adjacency list structure in each of the following cases? Justify your choice. a. The graph has 10,000 vertices and 20,000 edges, and it is...
-
a. Refer to Example 19.6. Suppose that the responses were recoded so that the numbers equaled the midpoint of the range of percentiles. That is: 97.5 = The candidate is in the top 5% of applicants...
-
a. A random sample of 30 people was asked to rate each of four different premium brands of coffee. The ratings are: Excellent Good Fair Poor The responses were assigned numbers 1 through 4,...
-
The following data were generated from a blocked experiment. Conduct a Friedman test to determine whether at least two population locations differ. (Use α = .05.) Treatment Block 2 3...
-
Exercise 3-10 (Algo) Applying Overhead; Journal Entries; T-accounts [LO3-1, LO3-2] Dillon Products manufactures various machined parts to customer specifications. The company uses a job-order costing...
-
Direct Materiais Purchases Budget Smart Strike Company manufactures and sells soccer balls for teams of children in elementary and high school. Smart Strike's best-selling lines are the practice ball...
-
Let u: R2 R be a strictly increasing C utility function. + (a) Derive an expression for the slope of an indifference curve at an arbitrary consumption bundle (xo, yo) R. '++ (b) Take a derivative of...
Study smarter with the SolutionInn App