Let F(x, y, z) = (6xyz+4x) i+(3x²z+ze")j+(3x²y-e=v) k, and let C be the portion of the parametric curve given by x = 5 cost, y= and ends at (-–6,0,0) (see diagram to the right). Calculate 6 sin t, z = 3 +3 sin(11t/2) that starts at (6,0, 3) | F•dr. Show your work, and circle your final answer.

Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find…

A:

Q: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

A:

Q: Evaluate √(2² + yz sin(xyz))dx+(y²+xz sin(xyz))dy+(x+xysin(xyz))dz where C is the curve following…

A:

Q: A curve is given by the parametric equations  x=t^2/1-t  y=t+1 give an implicit equation in x and y…

A: The required Implicit form of the curve isy2+xy−2x−2y+1=0.Explanation:Steps and explanations are as…

Q: Consider the parametric curve defined by x = 2020 cos t y = 2020 sin t π Find the slope of this…

A: Slope of a curve at some point is the value of the derivative at that point.

Q: Find (d^2)y/d(x^2) at t= pi/3 for the parametric curve given below. Write your final answer in the…

A: Given parametric curve, x = t+sin(t) y = t-cos(t)

Q: Write parametric equations for a(t) at (1,1) a(t) =

A:

Q: convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

A:

Q: (x = -1 + sect b) { y = 2 + tant -<< 2 2

A: To convert the given parametric equation to Cartesian form.