Find a Cartesian equation for the curve represented by polar equation r= 14 cos 0- 4 sin e. O A. ^ (x + 7)* + (y - 2)* =: = 53 В. (ー7)+(y+2) = 53 OC (x-7)° + (y+2) = 18 OD. (x - 7)° + (y+2)' = 4 (x - 7)* + (y +2)° = OE.

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A: Consider the given parametric equations, xt=tyt=e-4tzt=5t-t5 Here we need to find the parametric…

Q: Find the area of the surface obtained by rotating the curve of parametric equations x = 10 cos³ 10…

A:

Q: Find the equations of the lines tangent and normal to the curve given by the parametric equations x…

A: Given: x=4 costy=2 sin2tt=π3

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: Find the parametric equation of the line that passes through P(-2, 0, 3) and is parallel to the line…

A: Given that: Equation of line is:     x=-1+3t, y=2-2t, z=3+t  and the point is : P(-2, 0, 3)

Q: Determine the x - y coordinates 5 sin²t of the points where the parametric equation y=2 cost 0≤t≤ 2π…

A: The curve has horizontal tangent where the slope is 0

Q: 2) Graph the x, y-curve described by the parametric equation by eliminating t from the equation. x =…

A:

Q: Consider the polar curves C1 : r = −3 sin(2θ) and C2 : r = 3 sin θ. 1. What is the equation of the…

A:

Q: determine the slope of the tangent line to the polar curve r = 1+3 cos(20) at 0 6

A:

Q: Find the slope of the tangent line to polar curve 5 r = 5 cos 0 at the point Vē' 4 2, Preview

A:

Q: Find the slope of the tangent line to polar curve r = 6 – 9 sin 0 at the point (6-

A:

Q: Find the equation of the tangent line of the parametric equations x = 2 – 3 cos 0, y = 3+2 sin 6 at…

A: Given that: x=2-3cosθ and y=3+2sinθ

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: Find the slope of the tangent line to polar curve r=9sinθ at the point (9/√2,π/4)

A:

Q: find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

A: The equation of the tangent line is

Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y? = 8,…

A: Given: The parametric equations for the line tangent to curve of intersection of the surfaces…

Q: Find the derivative dydx of Fermat’s spiral given by the polar equation r=√θ.

A:

Q: Find parametric equations for the tangent line to the curve of intersection of the cylinders x = 74…

A: given curves x2+z2=74 , y2+z2=74 , point 5,-5,7  to find parametric equations for the tangent line…

Q: Eliminate the parameter in the parametric equations x = 7+ sint, y = 2+ sint, for 0sts, and describe…

A:

Q: A particle is moving along the curve given by the parametric equations x=1+t, y=1−t. Determine the…

A:

Q: Find the 1st  and 2nd Derivate of y with respect to x from parametric equations. Complete solution…

A:

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: 1. x (0) = 0 + cos 0 y (0) = 1+ sin 0 given that

A:

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A:

Q: Graph the curve with parametric equations x = sin(t), y = 3 sin(2t), z = sin(3t). H0.0 y -0.5 0.5…

A: The graph will look like this:

Q: A tangent at the pole to the polar curve r = is 2-4 sin 0 A 0 = = af pole usin6-2 Sing D 0=

A:

Q: Eliminate the parameter t from the parametric equationsx =3 +sin t and y = cos t - 2.

A: Given: x=3+sint and y=cost-2 We have to eliminate the parameter t from the parametric equations.…

Q: ) (i) Find the parametric equations for a smooth curve, C: x= 4z, y = -3z that joins two points,…

A:

Q: 9. Show that the curve with parametric equations x = sin t and y = sin(t + sin t) for 0st s 2n has…

A: Given that the curve with parametric equations are x=sint,y=sint+sint. First find the slope that is…

Q: Find parametric equations for the path of a particle that moves along the curve y=x from (1, 1) to…

A: Given Parabola is y = x²

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: . Find the slope of the line tangent to the parametric curve x = 2cost and y = 2- cos²t for 0<t<n at…

A:

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A:

Q: determine the slope of the tangent line to the polar curve r = 3 + 8 sin 0 at 0 =

A:

Q: Find the points (x, y) at which the polar curve r = 1 + sin(0), – < 0 has a vertical and horizontal…

A:

Q: 6. Find the distance between the point (- 3, 2, 1) and the line with parametric equations x = 3 –…

A: Consider a point on the line (3-2t, 1-t, -3t) which is the foot of the perpendicular to the point…

Q: Find the points (x,y)at which the polar curve r=1+sin(θ), −π/4 ≤θ≤π/4  has a vertical and horizontal…

A:

Q: The polar equation of the curve is expressed as r = 2sine + 2cose. area bounded by the curve.

A: To find the area.

Q: Plot the polar curve r=2(1–cos0) in interval

A:

Q: Find the slope of the tangent line to polar curve V3 T 3 2 r = 6 – 3 sin 0 at the point | 6 3…

A:

Q: The velocity of a particle moving in the xy plane is given by the parametric equations dx/dt=…

A: The given parametric equations of the particle is dxdt=-2t sin2t and dydt=2t cos2t. Evaluate the…

Q: Find the slope of the tangent line to the polar curve r sin(30) at 0 = %3D

A:

Q: Find the slope of the tangent line to polar curve r = 3 cos 0 at the point 4

A: Given polar curve is - r=3cosθ We need to determine slope of tangent line at the point 32,π4.

Q: x = 3 ln(t), y = 4t1/2, z = t3; (0, 4, 1)

A: Given Data: x=3lnt ......1y=4t1/2  ......2z=t3      ......3 x0, y0, z0=0, 4, 1   For the specified…

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

A:

Q: If I have a pair of parametric equations  x=20cos(t) and y=10sin(t)  How can I increase the speed…

A:

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: Find the slope of the tangent line to the polar curve r = 2sinθ +1 at θ= π/4 and then find its…

A: