A curve C has parametric equations a Show that the Cartesian equation of the curve is given by y ax(1 bx 2 ) where a and b are integers to be found b State the domain and range of y f(x) in the given domain of t 1 X 3 sint, y sin 31, 0...

A curve C has parametric equations a. Show that the Cartesian equation of the curve is given

Question:

A curve C has parametric equations

a. Show that the Cartesian equation of the curve is given by y = ax(1 − bx²) where a and b are integers to be found.

b. State the domain and range of y = f(x) in the given domain of t.

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 12, 2023 06:53 AM

See More Questions

The curve C has parametric equations a. Show that the Cartesian equation of C can be written as (x + a) 2 + ( y + b) 2 = c where a, b and c are integers to be determined. b. Sketch the curve C on the...
A curve C has parametric equations a. Determine the ranges of x and y in the given domain of t. b. Show that the Cartesian equation of C can be written in the form where A, b and c are integers to be...
A curve C has parametric equations x = t 3 t, y = 4 t 2 , t a. Show that the Cartesian equation of C can be written in the form x 2 = (a y)(b y) 2 where a and b are integers to be determined....
Ms. Acosta received a job as a teacher with a starting salary of $3 According to her contract, she will receive a 1.5% increase in her salary every year. How much will Ms. Acosta earn in 7 years.
Describe the five cardinal virtues of professional accountants that the articles authors discuss.
Briefly explain how the specific identification method works for determining inventory costs.
(2) Do you think that the selection decisions to make redundancies were rational and fair? Could they be improved? If so, how?
A factory costs $800,000. You reckon that it will produce an inflow after operating costs of $170,000 a year for 10 years. If the opportunity cost of capital is 14 percent, what is the net present...
Long Question - Programa (8 marks) It is time to start the field work on Palliser Plumbing Services. You are the senior auditor. The junior auditor has obtained the list of procedures to be performed...
A diagram shows a curve C with parametric equations a. Find a Cartesian equation of the curve in the form y = f(x), and state the domain of f(x). b. Show that c. Hence determine the range of f(x). x...
Find the values of t at the points of intersection of the line 4x 2y 15 = 0 with the parabola x = t 2 , y = 2t and give the coordinates of these points.
Problems give a graph of f'(x). Graph f(x). Mark the points x 1 , . . . , x 4 on your graph and label local maxima, local minima and points of inflection. /X1 X X3) X XA f'(x)
Use least square regression to fit a straight line to the following data taken from the conductance (S/m) of a material with respect to temperature (C) of a composite material used to absorb heat....
A pile group consists of nine friction piles in clay soil (see Figure 10-40). The diameter of each pile is 16 in., and the embedded length is 30 ft each. Center-to-center pile spacing is 4 ft. Soil...
The rigid bar EBC is supported by two links AB and CD as shown in Figure 1. The Link AB is made of aluminum (E = 70 GPa) and the link CD is made of steel (E = 200 GPa). Both links have a Width = 30...
a well-insulated storage tank was pressurized under ideal gas conditions by air flowing into the tank. We used the first law to estimate the final temperature of the gas in the tank, Tf,tank- = We...
Transportation of natural gas is commonly done via pipelinesacross long distances. A company uses a 0.6-m diameter pipe totransport natural gas. Then pumping stations are located atdifferent points...
Over the past several years, decommissioned U.S. warships have been turned into artificial reefs in the ocean by towing them out to sea and sinking them. The thinking was that sinking the ship would...
The Ferris wheel in the figure has a radius of 68 feet. The clearance between the wheel and the ground is 14 feet. The rectangular coordinate system shown has its origin on the ground directly below...
Estimate the CV for each of the hormones in Problem 12.35? Table 12.37: Format of ENDOCRIN.DAT Column Units Subject number Replicate number Plasma estrone 3 5-8 pg/mL pg/mL ng/dL ng/dL Plasma...
Assume a random-effects model. Estimate the between-day vs. within-day variation in temperature within this house?
Are there significant differences in temperature between different locations in the house?
Imagine you are an Investor in the Stock Market. Identify three companies in the Korean Stock Market (KOSPI) where you would like to invest. Explain your answer
Domino is 4 0 years old and is married out of community of property with the exclusion of the accrual system to Dolly ( 3 5 ) . They have one child, Domonique, who is 1 1 years old. Domino resigned...
YOU ARE CREATING AN INVESTMENT POLICY STATEMENT FOR JANE DOE General: 60 years old, 3 grown children that are living on their own and supporting themselves. She is in a very low tax rate so we don't...

A curve C has parametric equations a. Show that the Cartesian equation of the curve is given

Question:

1 X = 3 sint, y=sin 31, 0

Step by Step Answer:

a y 9x...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

Students also viewed these Mathematics questions