Determine the area inside the ellipse in terms of a and b

Reference no: EM131009130

1. The curve x = t² - t, y = t³ - 3t - 1 crosses itself at (2,1). Determine equations of the tangent lines at that point.

2. The parametric equation of an ellipse is given by x = a cos(t), y = b sin(t); 0 ≤ t ≤ 2π. Determine the area inside the ellipse in terms of a and b.

3. Find the length of the asteroid given by the parametric equations; x = cos³(t), y = sin³(t), 0 <= t <= 2π.

Reference no: EM131009130

Questions Cloud

Standard deviation of the residuals : A soap manufacturer tested a standard bar of soap to see how long it would last. A test subject showered with the soap each day for 15 days and recorded the Weight

Briefly describe the extent of it infrastructure : Briefly describe the extent of IT infrastructure (hardware, application software, operating system, networks) already present in the day-to-day running of the organisation - Rural and Regional Cuisine Heritage Project

Pick any class of ''customer consumables : Pick any class of 'customer consumables (FMCGs)' or 'purchaser durables'. Imagine yourself a brand chief - building up a brand and put forth the accompanying expressions with brief distinct backing:

Who is responsible for the project : Create a Microsoft PowerPoint presentation on the quality-improvement plan for the organization chosen for the Influencing and Controlling the Project assignment. Who is responsible for the project

Determine the area inside the ellipse in terms of a and b : The parametric equation of an ellipse is given by x = a cos(t), y = b sin(t); 0 ≤ t ≤ 2π. Determine the area inside the ellipse in terms of a and b.

Number of movies rented during the past month : A website that rents movies online recorded the age and the number of movies rented during the past month for some of their customers. Here are their data:

Regression model for individual respondents : You are considering opening an Estonian cuisine restaurant and wonder how much people in your target community spend on eating out relative to their incomes. You commission a telephone survey and build the following regression model for individual..

Articles from peer-reviewed journals : Biblical principle. Acceptable sources include any of the assigned textbooks, the Bible, outside texts, and articles from peer-reviewed journals

Find the probability that the value of a bit received : The message must pass through two relays before being received. At each relay the probability is 0.1 that the bit will be reversed before being relayed (i.e., a 1 will be changed to a 0, or a 0 to a 1). Find the probability that the value of a bit..

User Account

All Pages