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

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.

Step by Step Solution

★★★★★

3.51 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Cen... 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:

A circle has parametric equations x = 4 sin t 3, y = 4 cos t + 5, 0 t 2 a. Find a Cartesian equation of the circle. b. Draw a sketch of the circle. c. Find the exact coordinates of the points of...

Q:

1. In the investigation you used the parametric equations for a circle, x = 3cos t and y = 3 sin t, to graph other geometric shapes on your calculator. Mathematically, do you think it is correct to...

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:

The path of a car on a Ferris wheel at time t minutes is modelled using the parametric equations x = 12 sin t, y = 12 12 cos t where x is the horizontal distance in metres of the car from the start...

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:

Question 14 (15 marks) (a) Points A and B have position vectors OA = 21 + / and OB =-21+41. (i) Find the projection of AO onto AB. N (ii) Hence, or otherwise, find the perpendicular distance of AB...

Q:

Question 14 (15 marks) (a) Points A and B have position vectors OA = 21 + / and OB =-21+41. (i) Find the projection of AO onto AB. N (ii) Hence, or otherwise, find the perpendicular distance of AB...

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:

An investor with risk aversion of A = 3 reviews the four investments shown below. What utility does the investor get with each investment? Investment Expected Return Standard Deviation 12.00% A B D...

Q:

Refer to Problem 16.24. Suppose, when testing for the appropriateness of the fitted model, the standard errors are Sa1 = 0.45 Sa2 = 0.35 Sa3 = 0.15 a. What conclusions can you reach? b. Discuss how...

Q:

Any future Fed assistance to the money market didn t look to be in the cards after the unpopular bailout during the financial crisis. What ended up making such Fed support more palatable in the...

Q:

6.4 Suppose that the posterior density Ct1y is N(0. I), as in Problem 6.1, and that z ly, 8 - N((3, 0.5). The goal is to sample the m e t density zly. (a) %rive the target density h(z 1,~) = Ih(z Iy,...

Q:

What test can be used to compare the two groups if this more efficient method is used? A more efficient method of analysis would leave the change in retinopathy level in its raw form without grouping...

Q:

Implement the test in Problem 10.149, and provide a p-value (two-tailed)? A more efficient method of analysis would leave the change in retinopathy level in its raw form without grouping the data but...

Q:

Reanalyze the data in Table 10.49 using the Wilcoxon rank sum test? Table 10.49: Outcome data for the Sorbinil Retinopathy Trial (n = 481) change in retinopathy level A more efficient method of...

Q:

The purchasing agent of the Poplin, Inc. ordered materials of lower quality in an effort to economize on price. What variance will most likely result? Unfavorable materials price variance Favorable...

Q:

Andy deposits $500 at the beginning of each year for 10 years into a savings account that pays interest at an annual effective rate of 4%. Barney deposits $X into a different savings account at the...

Q:

On December 31, Collins Co. had the following list of accounts: Accounts payable $28,800 Accounts Receivable $49,200 Beginning retained earnings $5700 capital stock 65100 cash 29700 consulting...