$2 5. Find the unit tangent and the principal unit normal vectors for the helix given by r(t) = (2 cos t) i + (2 sin t) j+ tk. 6. Find the curvature of r(t)= ti+t2j + t k. 7. Find the curvature of the plane y = cos() +e 2x at r 0. 8. Find the maximum curvature of y In . ck aveerune, chece cleiractie eluvahe +ozors 9. Find the tangential component ar and normal component an for the curve given by r(t) 3ti tj+ tk. 10. Let a(t) = 2t i + e' j + cos(t) k denote the acceleration of a moving particle. If the initia v(0) = i+ 2j-k, find the particle's velocity v(t) at any time t. V2 x (a) Find the domain of f(x, y)=In(-1) (b) Sketch the graph of f(x, y) = 6 -2y 12. Find the limit of show it does not exists.

Question

Help with #5

$2
5. Find the unit tangent and the principal unit normal vectors for the helix given by
r(t)
= (2 cos t) i + (2 sin t) j+ tk.
6. Find the curvature of r(t)= ti+t2j + t k.
7. Find the curvature of the plane y =
cos() +e
2x
at r 0.
8. Find the maximum curvature of y In . ck aveerune, chece cleiractie
eluvahe +ozors
9. Find the tangential component ar and normal component an for the curve given by
r(t) 3ti tj+ tk.
10. Let a(t) = 2t i + e' j + cos(t) k denote the acceleration of a moving particle. If the initia
v(0) = i+ 2j-k, find the particle's velocity v(t) at any time t.
V2 x
(a) Find the domain of f(x, y)=In(-1)
(b) Sketch the graph of f(x, y) = 6 -2y
12. Find the limit of show it does not exists.

Image Transcription

$2 5. Find the unit tangent and the principal unit normal vectors for the helix given by r(t) = (2 cos t) i + (2 sin t) j+ tk. 6. Find the curvature of r(t)= ti+t2j + t k. 7. Find the curvature of the plane y = cos() +e 2x at r 0. 8. Find the maximum curvature of y In . ck aveerune, chece cleiractie eluvahe +ozors 9. Find the tangential component ar and normal component an for the curve given by r(t) 3ti tj+ tk. 10. Let a(t) = 2t i + e' j + cos(t) k denote the acceleration of a moving particle. If the initia v(0) = i+ 2j-k, find the particle's velocity v(t) at any time t. V2 x (a) Find the domain of f(x, y)=In(-1) (b) Sketch the graph of f(x, y) = 6 -2y 12. Find the limit of show it does not exists.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in
MathCalculus

Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Hello,  I need help explaining how pi(k)/2 came about, I know where pi/4 came from. Thank you for th...

A: Consider the provided trigonometry equation.

Q: This is #1

A: Part (a)Consider an object moving along a line with the velocity and initial position.

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function f(x)....

Q: Define R as the region bounded by the graphs of f(x)=x2 +2x+2, x=−2, x=0, and the x-axis. Using the ...

A: Click to see the answer

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 56...

A: Let the length of each side of the base= x feet and the height of the box= y feet. Volume = length *...

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing   f(x) = -2 ...

A: First, we find f'(x).

Q: Find the area of the region described. -4x and xIn 3 The region bounded by y e. ye X The area of the...

A: We first draw a rough sketch of y=e^x, y=e^-4x and x=ln 3And find the region bounded by them.

Q: Graph the following function.  Then use geometry to find the area and net area of the region describ...

A: Graphed the lines first. Area between y=3x-6,x axis and x=8 is above the x -axis (Blue shaded area)....

Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height