Question: A curve C has parametric equations a. Find the coordinates of the points where the curve intersects the x-axis. b. Show that the curve crosses

A curve C has parametric equations x = 6 cost, y = 4 sin 2t + 2, 2

a. Find the coordinates of the points where the curve intersects the x-axis.

b. Show that the curve crosses the line y = 4 where

c. Hence determine the coordinates of points where y = 4 intersects the curve.

x = 6 cost, y = 4 sin 2t + 2, 2

Step by Step Solution

★★★★★

3.39 Rating (146 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

6 cos 12 0 6 cos b 4 sin ... 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 x = 2 ln t, y = t 2 1, t > 0. a. Find the coordinates of the point where the line x = 5 intersects the curve. Give your answer as exact values. b. Given that the...

Q:

The curve C has parametric equations x = sin t, y = cos 2t + 1, 0

Q:

The diagram shows the curve C with parametric equation x = 1 + 2t, y = 4 t 1. The curve crosses the y-axis and the x-axis at points A and B respectively. a. Find the coordinates of A and B. The line...

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:

Need step solution A curve C has parametric equations (0 (ii) (\"0 - 1 2r x=smt , y=cosf , for SISZ. Find the equation of the normal to C at the point P with parameter I = p . [3] The normal to C at...

Q:

Need solution. thanks A curve C has parametric equations - 1 2r x=smt, =cosr,f xer. 3 m 4 (i) Find the equation of the normal to C at the point P with parameter I = p . [3] (ii) The normal to C at...

Q:

these 3 questions, thank you so much. FinalExam: Problem 4 Previous Problem Problem List Next Problem (12 points) Let _ be the region in the first octant of IR (that is, where > > 0, y > 0, > > 0)...

Q:

Exercise 9 . Use Green's theorem to evaluate the line integral C ( e x 3 - x y ) d x + ( x 2 + l n ( 1 + y y ) ) d y where C is the square with sides x = 0 , x = 1 , y = 0 and y = 1 . Assume the...

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:

Using the identity cos 20 = 1-2 sin0, find [sined0. y 1 Figure 4 Figure 4 shows part of the curve C with parametric equations x = tan 0, y = 2 sin 20, 0

Q:

Janet just graduated from college, has a job she's scheduled to begin in 3 months and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working...

Q:

The only gas station in a small town sells both regular and premium gasoline. The weekly demand functions for the two gasolines are Qdregular = 10,000 - 1000 Pregular + 50Ppremium Qdregular = 350 +...

Q:

$value = @arr [ 2 ] ; is what programming language?

Q:

11.14 [Research Exercise] What if there were more than one rational decision maker involved in the decision-making process. How might the decision be made? (Hint: see, for example, Kadane et al.,...

Q:

What is the estimated visual field for this subject after 20 years of follow-up? Provide a 95% confidence interval associated with this estimate. Ophthalmology Retinitis pigmentosa (RP) is a...

Q:

What does the intercept mean in this context? What is the estimated % decline in visual field per year? Ophthalmology Retinitis pigmentosa (RP) is a hereditary ocular disease in which patches of...

Q:

What is the estimated mean change in SBP for an average patient taking 2000 mg of Bosentan? Provide a 95% confidence interval corresponding to this estimate. Hypertension Endothelin is a powerful...

Q:

Use the summary analysis for eApparel, Inc. to analyze the cash inflows and ouflows for 2014 and 2015 and choose the best answers for the question. 100 Inflows (in percent of total) 2015 2014 Sales...

Q:

Perpetual Inventory Using FIFO Beginning inventory, purchases, and sales for Item Zeta9 are as follows: 51 units $21 36 units 58 units $22 21 units Oct. 1 Inventory 7 Sale 15 Purchase 24 Sale...

Q:

Requirement 1. Prepare it comparathe common-siee income statement lor Mal Designs, inc using the 2024 and 2023 data. Round percentages to one-lenth percent. (Reund th {14 as 1.1} Requirements 1....