A curve has equation y = x(x 2) 3 . The tangent at the point P(3,

Question:

A curve has equation y = √x(x – 2)³. The tangent at the point P(3, √3) and the normal at the point Q(9, 1) intersect at the point R.

a. Show that the equation of the tangent at the point P(3, √3) is y = 19√3/6 x - 17√3/2.

b. Find the equation of the normal at the point Q(1, - 1).

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 01, 2021 12:39 AM

See More Questions

A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
A curve has equation y = x 5 5x 3 + 25x 2 + 145x + 10. Show that the gradient of the curve is never negative.
Courts are more willing to find misrepresentation if the defendant has a fiduciary relationship with the plaintiff than if a transaction occurs at arms length between the parties. True False
Represent the transfer of electrons from magnesium to oxygen atoms to assume noble-gas configurations. Use Lewis electron-dot symbols.
The McDonald Group purchased a piece of property for $1.2 million. It paid a down payment of 20% in cash and financed the balance. The loan terms require monthly payments for 15 years at an annual...
A $0.50-\mathrm{kg}$ wood block slides $0.50 \mathrm{~m}$ on a horizontal floor before colliding elastically with a wall and reversing its direction of travel. If the block has an initial speed...
Data for Schmidt Company is presented in the following table of rates of return on investment and residual incomes: Determine the missing items, identifying each item by the appropriateletter. Income...
Question four (20mks) Explain how the following are fundamental in appraising income property A. potential gross income (16mks) B.Net operating income (4mks) Question five (20mks) Explain the theory...
A vapor mixture of equal volumes NH 3 and N 2 is contacted at 20 C and 1 atm (760 torr) with water to absorb some of the NH 3 . If 14 m 3 of this mixture is contacted with 10 m 3 of water, calculate...
A cone has base radius r cm and a fixed height 18 cm. The radius of the base is increasing at a rate of 0.1 cm s -1 . Find the rate of change of the volume when r = 10.
The diagram shows an empty container in the form of an open triangular prism. The triangular faces are equilateral with a side of x cm and the length of each rectangular face is y cm. The container...
List the different types of viral marketing campaigns for which you have been a recipient. Which could be effective for your own organization?
How do concurrent data structures utilize synchronization techniques to ensure thread safety and efficiency?
Discuss whether your organisation is a learning organisation by completing the following tasks: Define what a learning organisation is; and Using Senges (1990) five disciplines of a learning...
Suppose you have 2 financial assets (A and B respectively) whose annual returns are shown in the following table. Assume you invest $100,000 in each, and the proceeds from year 1 are reinvested in...
What happens when this C program is executed? struct S ( int x; int y; int *p: }; void f (struct S s) { s.p (s.y); & } int main() { struct S 3; 3.x = 1; = 3.y 2; 3.p&(s.x); f (s); printf("%x ",...
MMM Inc., faces uncertainty regarding a tax position taken in its financial statements. The company's auditors believe there's a 50% chance the tax authorities will disallow the position. How should...
Fresh Mountain Coffee Company roasts and packs coffee beans. The process begins by placing coffee beans into the Roasting Department. From the Roasting Department, coffee beans are then transferred...
Which of the companies has the lowest accounts receivable turnover in the year 20X2? a. Company A. b. Company B. c. Company C. d. CompanyD. 20X1 20X2 Credit Sales Average Receivables Balance $1.0...
Read, Advocating for Policy Change in Nonprofit Coalitions by Rachel Fyall and Michael McGuire. (See Articles.) Explain how individuals from nonprofit organizations attempt to influence public policy.
How are their missions different?
What metrics would you use to measure their effectiveness?
(20 points) A company can produce and sell five products for the next quarter. The following table shows the variable cost of producing each unit of a product, the sales price of each unit of a...
When setting up the trust book accounting for an Agency, what important basic requirements need to be considered (include at least three)?
EFG declared a property dividend. The dividend consisted of 10,000 common shares of its investment in TUV Company. The shares had originally been purchased at $4 per share and had a $1 par. The value...

A curve has equation y = x(x 2) 3 . The tangent at the point P(3,

Question:

Step by Step Answer:

a To find the equation of the tangent at the point P3 3 we need to find the derivative of the giv...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions