Consider the following.

x = 5 cos(θ)

y = 6 sin(θ)

-π/2 θ π/2

(a) Eliminate the parameter to find a Cartesian equation of the curve.

### Want to see the full answer?

Check out a sample Q&A here*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Find the equation of tangent line

Q: 1 x = sin 2nt and y = cos 27t. Find the equation of tangent line to the curve at the point t 6

A: Click to see the answer

Q: 6. x(t) = cos at + sin at

A: Click to see the answer

Q: 1 y = 5 sin x + 3 cos x at the point (0, 1/3). The equation of this tangent line can be written in…

A: Here a function is given and we have to find the equation of the tangent line in the form y=mx+b at…

Q: 1 I = sin 2nt and y = cos 27t. Find the equation of tangent line to the curve at the point t = 6

A: Click to see the answer

Q: Find the slope of the line tangent to the curve r = cos(30) at 0 4

A: To determine the slope of the tangent lines.

Q: Find the equation of the tangent line to the curve y = 4 sin x + 2 cos a at the point (0, 1/2). The…

A: Click to see the answer

Q: 6. Consider the curve given by the equation 2(x - y) = 3 + cos y. For all points on the curve, < <2.…

A: This question is related to derivatives.

Q: in the form y = mx + b. Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 4…

A: Click to see the answer

Q: Show that y = e²(cos x + sin x) is a solution to the equation

A: Click to see the answer

Q: Find the slope of the tangent line to the path of a carnival ride x 7 cos() + sin(7t), y = 7 sin() +…

A: Given x=7cos(t)+sin(7t) y=7sin(t)+cos(7t) We need to find the slope of tangent at t=0

Q: 1) Find the equations of the lines that are tangent to Y = 0.5(sin 2t) at the origin the curve COs…

A: Click to see the answer

Q: Find the equation of the tangent line to the curve 1 y = 3 sin z + 4 cos a at the point (0, 1/4).…

A: Given: y = 1 / ( 3 sinx + 4 cosx ) Point: ( 0 , 1/4 )

Q: 1. If the velocity of a particle is given as h(t) seconds, what is the displacement of the particle…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: Eliminate the parameter to find a Cartesian equation of the curve. x=1-cos(t) y=1-sin(t)

A: We have to eliminate the parameter and find the cartesian equation.

Q: 40. Find an equation for the tangent to the curve x sin 2y = y cos 2x at the point (T/4, 7/2).

A: Explanation of the solution is given below....

Q: Find d-/dx² at the given point without eliminating the parameter. x=0+ cos0 and y=1+sin0 ; 0 =a/6,

A: Click to see the answer

Q: Find the equation of the tangent line to the curve 1 2 sin x + 5 cos x at the point (0, 1/5). The…

A: Click to see the answer

Q: Find the derivative of the following functions/parametric equations. 6. 4 cos x sin y = 1

A: Click to see the answer

Q: Find the length of the curve. cos(4t) i + sin(4t)j + 4 In(cos(t)) k, 0 <t< n/4

A: We have to find the length of curve.

Q: What is the equation of the line tangent to the curve e' +cos(x) =1 at the point .0 @ y=x+ A (B)…

A: Click to see the answer

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: To find: The equation of tangent to the curve and also find d2ydx2. Given: The functions are x=cos…

Q: The exact value of the slope of the tangent line to the graph of the curve r = 9 + 8 cos(e), at e =…

A: Click to see the answer

Q: eliminate the parameter to find an explicit equation for y as a function of x. x = 1 + 3 cos(t) y…

A: Given, x=1+3cost y=-2+4sint

Q: L-1 (s² + a²y² (sin at + at cos at] 2a

A: Some of the properties of the inverse Laplace transform L-1aF(s)+bG(s)=aL-1F(s)+bL-1G(s)…

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Click to see the answer

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: We have given parametric equation x=4sint, y=2cost We have to find the tangent line of the given…

Q: Find an equation of the tangent line to the following curve at the given point. (0, 1) e7x COS TX,

A: Given,

Q: x = Cịcos (At) + C2 sin (At)

A: Click to see the answer

Q: ind an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t), y = sin(t) +…

A: Click to see the answer

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Click to see the answer

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Click to see the answer

Q: Find an equation of the tangent to the curve at the given point. x = sin(2t) + cos(t),y = cos(2t) –…

A: x=sin(2t)+cos(t)differentiate w.r.t.'t'dxdt=2cos(2t)-sin(t)y=cos(2t)-sin(t)dfferentiate…

Q: Find an equation of the tangent to the curve at the given point. x = sin(2t) + cos(t),y = cos(2t) –…

A: Using equation of tangent formula.

Q: Find the equation of the tangent line to the curve 2 sin z + 5 cos z at the point (0, 1/5). The…

A: Solution:- use u/v formula to differeniate

Q: Find a/dx2 at the given point without eliminating the parameter. *=0+ cos0 and y =1+sin ; 0 =n/6

A: Click to see the answer

Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2).

A: Click to see the answer

Q: 2. For the following sinusoidal function, complete the table. y =-2 sin 3 (x + 56) – 2 Amplitude…

A: Click to see the answer

Q: 1. Consider the function Y= Sin(5x) on the 0<x< %3D interval a) Determine where the graph of the…

A: Click to see the answer

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Click to see the answer

A: Click to see the answer

Q: nd the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point x= 7.

A: equation of line at point (a,b) is given by y-b = m (x-a) Where m is the slope of tangent As…

Q: Solve the following equations by the method of undeterminedcoefficients. y" + y = cos 3x

A: To solve the given equation by the method of undetermined coefficients y''+y=cos3x

Q: Solve the equation (1 + x cosy) dx - x²siny dy = 0 using substitution.

A: Click to see the answer

Q: Find the slope of the line tangent to the following polar curve at the given point. 3x r= 3-3 sin 0;…

A: Click to see the answer

Q: Photo attached

A: The parametric equations is given by,

Q: Find the solutions of the equation that are in the interval [0, 2π). sin(t) + sin(2t) = 0

A: Click to see the answer

Q: Eliminate the arbitrary constant/s of this equation to obtain the DE. Express the DE in general…

A: Click to see the answer

Q: Given: = 0 – sin 0; y=1– cose Find: dz2

A: Click to see the answer

Q: Find a Cartesian equation for the curve. r2 cos(2?)

A: We have to find cartesian equation