Given the parametric equations x = 4/(t+3)^2 and y = 12/t+3, find the value of parameter t if dy/dx =9

Given the parametric equations x = 4/(t+3)^2 and y = 12/t+3, find the value of parameter t if dy/dx =9

x= sin(1/2)θ y=cos(1/2)θ -pi≤θ≤pi Im not understanding the interval and how this graph is going to look like.

Find the parametric equations for the line through C and the midpoint of AB: A(−4,−3,−5) B(4,3,−1) C(3,−1,−1)

x= from 1 to t ∫ cos(u)/u du , y= from 1 to y ∫ sin (u)/u du

the answers must have the parametric form for x and for y.

x= 5+2cos(πt) y=3+2sin(πt) 1≤t≤2 If the pi wasnt there, I know it would be (x-5/2)2 +(y-3/2)2 =1 ---> (x-5)2 + (y-3)2 = 4 center(5,3,)...

Could anyone help me transform these parametric equations into Cartesian ones? I cant seem to get the right answer as the book

It is from CALC2 chapter parametric functions. While determine the arc length of a function involving parametric equations, why do we check for the derivative of x to be greater than...

Rewrite the given parametric equations in Cartesian form: x(t)2t-1 y(t)=t+4 A. y=(1/2)x+(7/2) B. y=(1/2)x+(9/2) C. y=2x-1 D. x+4

Convert the following parametric equations to a rectangular equation: x=2cos2t y=2sin2t ...

Y=(t+3)/t x= 8/square root of "t"

Rewrite the complex number in rectangular form, a + bi. z=(sqrt 2)cis(105 deg)=?

Find the parametric equations and the symmetric equations for the line. The line of intersection of the planes x + 2y +3z = 1 and x - y + z = 1. Please explain...

At what points does the curve r(t) = ti + (4t − t^2)k intersect the paraboloid z = x^2 + y^2? (If an answer does not exist, enter DNE.) smaller t-value (x, y, z) =...

Find the quotient of the complex numbers: 2*(sqrt 3)(cos(116 deg)+isin(116 deg))/2(cos(82 deg)+isin(82 deg))

A.) 14-3x B.) x+4 C.) 3x+2 D.) 4-x

An amusement park designs a roller-coaster ride based on the function f(t)=at^2-bt+20, where t is the time of the ride in seconds. The designer wants to achieve the speed f'(1)=10 mph, and f'(15)=80...

1. Describe the components of the vector v(t)=<t2,5t> and the meaning of this vector. 2. Convert the following parametric equation into a rectangular equation: {x(t)=5cost}...

A comet following a hyperbolic path about the sun has a perihelion of 140 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the orbit, the comet is 405 Gm from the...

convert the following parametric equations into a rectangular equation x=-2sinT y=2cosT