A curve is such that d 2 y/dx 2 = 12x 12. The gradient of the

Question:

A curve is such that d²y/dx² = 12x – 12.

The gradient of the curve at the point (2, 9) is 8.

a. Express y in terms of x.

b. Show that the gradient of the curve is never less than 2.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 06, 2021 01:20 AM

See More Questions

A curve is such that dy/dx = 1/x+e for x > -e. Given that the curve passes through the point (e, 2 + ln 2), find the equation of the curve.
A curve is such that dy/dx = 1 4 cos 2x. Given that the curve passes through the point (/4, 1), find the equation of the curve.
A curve is such that dy/dx = 3x 2 4x + 1. Given that the curve passes through the point (0, 5) find the equation of the curve.
Need assistance on adding accounting info to the excel worksheet posted. A.) would 97,400 go under cash or fixed assets ? Number Styles Cells Editing Ideas g Cash Balance B. C D E H. K M T. 0,1,F...
Balance the following equations. a. Cl2O7 + H2O HClO4 b. MnO2 + HCl MnCl2 + Cl2 + H2O c. Na2S2O3 + I2 NaI + Na2S4O6 d. Al4C3 + H2O Al(OH)3 + CH4 e. NO2 + H2O HNO3 + NO
The Tara Tripp Clothing Group owns factories in three towns (W, Y, and Z), which distribute to three Walsh retail dress shops in three other cities (A, B, and C). The following table summarizes...
Suppose Emory rejects the lease we analyzed, and the lessor agrees to lower the lease rate to $11,700 per year. Does this change make the lease attractive?
The Fantastic Ice Cream Shoppe sold 8,800 servings of ice cream during June for $ 5 per serving. The shop purchases the ice cream in large tubs from the Deluxe Ice Cream Company. Each tub costs the...
How will the Information Assurance program benefit you in the future?
In my opinion, we ought to stop making our own drums and accept that outside suppliers offer, saidWim Niewindt, managing director of Antilles Refining, N.V., of Aruba. At a price of 36 florins per...
The curve y = 2x + 1 meets the y-axis at the point P. The tangent at the point Q(12, 5) to this curve meets the y-axis at the point R. Find the area of the shaded region POR. Q(12, 5). y=/2x + 1 R P
a. Show that d/dx(x ln x) = 1 + ln x. b. Use your result from part a to evaluate the area of the shaded region. y = In x
Suppose that, in PCBC mode, blocks C i and C i+1 are interchanged during transmission. Show that this affects only the decrypted blocks P i and P i+1 but not subsequent blocks.
An equipment manufacturer provided the following information to its accountant. The company had net fixed assets of $356,190, and other assets of $4,176. The firm has current liabilities of $94,792,...
Job #335 requires work in the following departments: Machining: 16 hours (all automated) Sanding: 4 hours (all direct labor) Painting: 8 hours (including dry time of 6 hours) The company uses...
Dog, Inc. has depreciable equipment with an original cost of $1,000,500. The accumulated depreciation balance at the end of 2019 was $382,500 and the depreciation expense for 2020 is $95,700. Dog,...
Jump Corporation, a cash-basis, calendar-year corporation that operated as a C corporation for a number of years, elected to be taxed as an S corporation on January 1 of the current year. The...
Brown Partnership has 3 partners, Sally, Sam, & Trevor with the following facts: Brown Partnership's Assets: Tools: FMV $700,000; Inside Basis $800,000 Land: FMV $999,999; Inside Basis $7,000,000...
Let A be an m n matrix. Show that if A has linearly independent column vectors, then N(A) = {0}.
The following exercises are not grouped by type. Solve each equation. x610x -9
Cougar Corporation owns 1,000 shares of Western Corporation common stock, which it purchased on March 8, 2011, for $12,000. On October 3, 2017, Cougar purchases an additional 300 shares for $3,000....
During the current year, Troy sells land to Berry Corporation for $165,000. Troy purchased the land for investment in 2002 for $170,000. Berry Corporation is owned as follows: Owner Percentage...
PIB Partnership is owned 20% by Sara, 40% by Steve, and 40% by Thann. Burnham, Inc. is owned 70% by PIB Partnership, 10% by Ralph, 10% by Thann, and 10% by Sara. Ralph and Thann are brothers. All...
The income statement of Sundas company shows that the total sales amount is $200,000, a net income of $10,000, and an EBIT of $20,000. The company's balance sheet notes that the total assets set at...
Queenie wants to borrow money for some home improvements. He has received several different quotes. Bank A will charge him 14.5% compounded annually, Bank B will charge him 14% compounded monthly,...
The value of total assets in Valera inc company equals to 100,000. The balance sheet of the company documents the following values: fixed assets of 50,000, long term liabilities of 20,000, current...

A curve is such that d 2 y/dx 2 = 12x 12. The gradient of the

Question:

Step by Step Answer:

Solution a d 2 y dx 2 12x 12 dydx 6x 2 12...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions