Question: A curve C has parametric equations x = t 3 t, y = 4 t 2 , t a. Show that

A curve C has parametric equations x = t3 − t, y = 4 − t2, t ∈ ℝ

a. Show that the Cartesian equation of C can be written in the form x2 = (a − y)(b − y)2 where a and b are integers to be determined.

b. Write down the maximum value of the y-coordinate for any point on this curve.

Step by Step Solution

★★★★★

3.39 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

y 4t t 4y Sub i... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

Q:

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...

Q:

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...

Q:

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...

Q:

2 A curve C has parametric equations x = sec'r+1 s :=28INF, % i ta % 84x Show that a cartesian equation of Cis y = for a suitable domain which should be stated

Q:

please help A curve C has parametric equations x = t+=, y=t-- E The point P on the curve has parameter p. Show that the equation of the tangent at Pis (p2 + 1)x-(p2 -1)y = 4p. (ii) The tangent at P...

Q:

The curve C has parametric equations x = 3 t, y = t 2 2, 2

Q:

A level specimen paper applications of integration questionParametric equations , area under curves A curve C has parametric equations x = acos 2t. y = 2a cost, for OstS -, where a is a positive...

Q:

The curve C has parametric equations x = t 2, y = t 3 2t 2 , t a. Find a Cartesian equation of C in the form y = f(x). b. Sketch the curve C.

Q:

A curve C has parametric equations x = t 2 2, y = 2t, 0 t 2 a. Find the Cartesian equation of C in the form y = f(x). b. State the domain and range of y = f(x) in the given domain of t. c. Sketch...

Q:

A curve C has parametric equations x = tan t, Find a Cartesian equation of C. X = = tant, y=3 sin (t-), 0

Q:

Susan's Consulting experienced the following transactions for 2013, its first year of operations, and 2014. Assume that all transactions involve the receipt or payment of cash. Transactions for 2013...

Q:

Restaurants are often adding and removing menu items. Visit a restaurant and identify a new food item. Make a list of costs that the restaurant must consider when deciding whether to add that new...

Q:

All marketing communications environments are cluttered. Explain what this means and provide several examples. Do not restrict your examples just to advertisements.

Q:

For the model in Exercise 12.2 give a highest posterior density credibility interval for p2. of 95 percent probability.

Q:

Compare the means of each pair of groups using the Bonferroni method? Pulmonary Disease Twenty-two young asthmatic volunteers were studied to assess the short-term effects of sulfur dioxide (SO 2 )...

Q:

Is a fixed-effects or a random-effects ANOVA appropriate here? Hypertension Automated blood-pressure measuring devices have appeared in many banks, drugstores, and other public places. A study was...

Q:

Test whether the mean difference is consistent over all four locations? Hypertension Automated blood-pressure measuring devices have appeared in many banks, drugstores, and other public places. A...

Q:

Springer Anderson Gymnastics prepared its annual financial statements dated December 31. The company reported its inventory using the LIFO inventory costing method but did not compare the cost of its...

Q:

please help missing answers In November 30,2019 , the petty cash fund was replenished and increased to $295; currency and coin in the fund at that time totaled $14.25. o not enter dollar signs or...

Q:

Cash Receipts Budget and Accounts Receivable Aging Schedule Shalimar Company manufactures and sells industrial products. For next year, Shalimar has budgeted the following sales: Quarter 1 $4,630,000...