Question

Let S be a surface in the 3-D space (but we don’t have an equation for...

Let S be a surface in the 3-D space (but we don’t have an equation
for S). Suppose that there are two curves

r _1(t) = < cos(t), sin(t), t >

and

r_ 2(s) = < (s + 1)^2, 2s, se^s >

that both lie on S. Find an equation of the tangent plane to the surface S at the
point (1, 0, 0).

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose you need to know an equation of the tangent plane to a surface S at...
Suppose you need to know an equation of the tangent plane to a surface S at the point P(2, 1, 4). You don't have an equation for S but you know that the curves r1(t) = 2 + 3t, 1 − t2, 4 − 5t + t2 r2(u) = 1 + u2, 2u3 − 1, 2u + 2 both lie on S. Find an equation of the tangent plane at P.
Let surface P containing (0, 0, 0) be the graph of the two variable function g...
Let surface P containing (0, 0, 0) be the graph of the two variable function g with domain R^2 (all real numbers squared). Suppose the slopes of the tangent lines of curves obtained by intersecting P with the xz−plane and yz− plane at the point (0, 0, 0) are 1 and 2 respectively. Write (with explanation) the equation of the tangent plane to P at (0, 0, 0). This is all the information given for the question.
6) please show steps and explanation. a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation...
6) please show steps and explanation. a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the area of the triangle PQR.
Find an equation of the tangent plane at the given point: F(r,s)=2s^(−3)−r^3s^(−0.5) , (−2,1)
Find an equation of the tangent plane at the given point: F(r,s)=2s^(−3)−r^3s^(−0.5) , (−2,1)
let S be the surface defined by x^4-2x^2y^2+3z^2=12, Find the equation of the tangent plane to...
let S be the surface defined by x^4-2x^2y^2+3z^2=12, Find the equation of the tangent plane to the surface S at (0,1,2).
Identify the surface with parametrization x = 3 cos θ sin φ, y = 3 sin...
Identify the surface with parametrization x = 3 cos θ sin φ, y = 3 sin θ sin φ, z = cos φ where 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π. Hint: Find an equation of the form F(x, y, z) = 0 for this surface by eliminating θ and φ from the equations above. (b) Calculate a parametrization for the tangent plane to the surface at (θ, φ) = (π/3, π/4).
Find an equation of the tangent plane to the surface given by the equation xy +...
Find an equation of the tangent plane to the surface given by the equation xy + e 2xz+3yz = −5, at the point, (0, −1, 2)
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y =...
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y = g(θ) for this curve. b) Find the slope of the line tangent to this curve when θ=π. 6) a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the...
Find an equation of the tangent plane to the surface x y 2 + 3 x...
Find an equation of the tangent plane to the surface x y 2 + 3 x − z 2 = 4 at the point ( 2 , 1 , − 2 ) An equation of the tangent plane is
Given the level surface S defined by f(x, y, z) = x − y3 − 2z2...
Given the level surface S defined by f(x, y, z) = x − y3 − 2z2 = 2 and the point P0(−4, −2, 1). Find the equation of the tangent plane to the surface S at the point P0. Find the derivative of f at P0in the direction of r(t) =< 3, 6, −2 > Find the direction and the value of the maximum rate of change greatest increase of f at P0; (d) Find the parametric equations of the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT