Question

Obtain a Cartesian equation from the given parametric equation: x = 4 cos t y = 25 sin t

135

likes

673 views

Answer to a math question Obtain a Cartesian equation from the given parametric equation: x = 4 cos t y = 25 sin t

$Expert avatar$

Brice

4.8

110 Answers

Here, x=4 cos t and y=25 sin t i.e. \frac{x}{4}=\cos t and \frac{y}{25}=\sin t Squarring and adding we get, \frac{x^2}{16}+\frac{y^2}{625}=1

Frequently asked questions (FAQs)

Find the angle opposite to the side with length 7 using SOH CAH TOA.

What is the maximum value of the function y = x^2 + 4x - 3 over the interval [-5, 3]?

Math question: Given two triangles with sides AB = 6cm, BC = 8cm, and AC = 10cm, and corresponding sides A'B', B'C', and A'C' of another triangle, are the triangles congruent?

New questions in Mathematics

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

Find an arc length parameterization of the curve that has the same orientation as the given curve and for which the reference point corresponds to t=0. Use an arc length s as a parameter. r(t) = 3(e^t) cos (t)i + 3(e^t)sin(t)j; 0<=t<=(3.14/2)

𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)

Investing equal amounts of money into each of five business ventures Let's say you plan. 20 to choose from If there are initiatives, how many different ones among 20 initiatives? five startups can be selected?

Suppose a large shipment of cell phones contain 21% defective. If the sample of size 204 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4% round your answer to four decimal places

A regional candy factory sells a guava roll at a price of $48, the monthly fixed costs amount to $125,000 and the variable cost for making a guava roll is $28. Determine: a) The equation of the total income from the production of guava rolls.

How long will it take for $900 to become $5000 at an annual rate of 11.15% compounded bimonthly?

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

-3(-4x+5)=-6(7x-8)+9-10x

2x+4x=

Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.

Exercise 1 An ejidal association wishes to determine the distribution for the three different crops that it can plant for the next season on its available 900 hectares. Information on the total available and how many resources are required for each hectare of cultivation is shown in the following tables: Total available resource Water 15,000 m3 Fertilizer 5,000 kg Labor 125 day laborers Requirements per cultivated hectare Corn Soybeans Wheat Water 15 25 20 Fertilizer 5 8 7 Labor** 1/8 1/5 1/4 *The data in fraction means that with one day laborer it will be possible to care for 8, 5 and 4 hectares respectively. * Sales of crops 1 and 3, according to information from the Department of Agriculture, are guaranteed and exceed the capacity of the cooperative. However, soybeans must be limited to a maximum of 150 hectares. On the other hand, the profits for each hectare of crop obtained are estimated at: $7,500 for corn, $8,500 for soybeans and $8,000 for wheat. The objectives are to determine: • How many hectares of each crop must be allocated so that the profit is maximum. R= • The estimated profits for the ejidal cooperative in the next growing season. R=

Use a pattern approach to explain why (-2)(-3)=6

If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is

X~N(2.6,1.44). find the P(X<3.1)

A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?

A diamond ring was reduced from $999.99 to $689.99. Find the percent reduction in the price. Round the answer to the nearest tenth of a percent, if necessary.

(6²-14)÷11•(-3)

2 - 6x = -16x + 28

An invoice for €2,880 plus default interest of €48.40 was paid on October 28th. Interest rate 5.5%. When was the bill due?

Obtain a Cartesian equation from the given parametric equation: x = 4 cos t y = 25 sin t

Answer to a math question Obtain a Cartesian equation from the given parametric equation: x = 4 cos t y = 25 sin t

You might be interested in