Question: A circle has parametric equations x = 4 sin t 3, y = 4 cos t + 5, 0 t 2 a.

A circle has parametric equations x = 4 sin t − 3, y = 4 cos t + 5, 0 ≤ t ≤ 2π

a. Find a Cartesian equation of the circle.

b. Draw a sketch of the circle.

c. Find the exact coordinates of the points of intersection of the circle with the y-axis

Step by Step Solution

★★★★★

3.41 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a x 3 y 5 ... 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:

A circle has parametric equations x = sin t 5, y = cos t + 2 a. Find a Cartesian equation of the circle. b. Write down the radius and the coordinates of the center of the circle. c. Write down a...

Q:

Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the curve.

Q:

A circle has parametric equations x = 4 sin t + 3, y = 4 cos t 1. Find the radius and the coordinates of the center of the circle.

Q:

(1 point) Consider the parametric equations x = 4 + cos(t), y = 3 + sin(t). The curve traced out by these equations is a circle with radius and center ((1 point) Find parametric equations that...

Q:

15. Which statement describes the graph and orientation of the parametric equations x = 4 cos t (1 point) and y = 4 sin t? The graph is a circle with a radius of 2. The orientation is...

Q:

1. Consider the parametric equations X = COS + sin V= COS sin 2 2 Ets 2 2 a) Eliminate the parameter t to find a Cartesian equation for the parametric curve. Hint: multiply both sides of the second...

Q:

Consider the parametric curve: x = 4 sin 0, y = 4 cos 0, The curve is (part of) a circle and the cartesian equation has the form x + y = R with R = The initial point has coordinates: x = ,y= The...

Q:

19. (10pts) Consider the parametric equations: x = 3 + sin (=() and y = 2- cos (+() . (a) Eliminate the parameter to find the Cartesian (x-y) version of the equation. (b) Sketch the curve and...

Q:

Silver Circle Chas parametric equations x = 2sin/ - I, y = 2cost + 3, 0 = 1 = 2x The line / is normal to Cat the point B, which lies on the y-axis. C a Find the Cartesian equation of the circle,...

Q:

What three circumstances match with profit-based pricing?

Q:

classify the accounts 1) owner's capital beginning balance 2) owner's capital, ending bal 3) profit and loss?

Q:

Artisan's liens are liens on real property for services performed on real property, like painting a house a really pretty color.

Q:

12.4. In manufacture of lamps, the clearance wxy is of interest, where xdistance from rim of base to the glass, and ydistance from rim of base to top of inner shell. For xs, large samples gave...

Q:

Perform a one-way ANOVA to assess whether there are significant differences in mean change in percent stenosis among the four groups? Cardiovascular Disease A randomized trial examined the effects of...

Q:

Using the LSD method, identify which pairs of groups are significantly different? Cardiovascular Disease A randomized trial examined the effects of lipid-modifying therapy (simvastatin plus niacin)...

Q:

Are there significant interaction effects between simvastatin-niacin and antioxidants? What does an interaction effect mean in the context of this trial? Cardiovascular Disease A randomized trial...

Q:

Clear Limited has purchased a new machine and is unclear how much to include in the Cost a/c. You are provided with the following information in relation to expenditure on the machine during the...

Q:

Read the Accounting for Software Development Activities Case Study (link below). After reading the case study, answer the questions provided. While Ms. Larson is confident with regard to the U.S....

Q:

Do ratio tell the whole story