Question

Let r(t) = 4sin3ti + 6j − 4cos3tk. Compute ||r′(t)|| and then in words explain what...

Let r(t) = 4sin3ti + 6j − 4cos3tk. Compute ||r′(t)|| and then in words explain what you would expect to value of r(t) · r′(t) to be and why. Then actually compute r(t) · r′(t).

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Note: to find the r'(t) we differentiate r(t) term by term.

Details explained in the image

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
Let r = < et, sin t, et >. Compute v, a, aT, and aN.
Let r = < et, sin t, et >. Compute v, a, aT, and aN.
a. Let →u = (x, y, z) ∈ R^3 and define T : R^3 → R^3...
a. Let →u = (x, y, z) ∈ R^3 and define T : R^3 → R^3 as T( →u ) = T(x, y, z) = (x + y, 2z − y, x − z) Find the standard matrix for T and decide whether the map T is invertible. If yes then find the inverse transformation, if no, then explain why. b. Let (x, y, z) ∈ R^3 be given T : R^3 → R^2 by T(x, y, z) = (x...
use r-studio code to compute 1. Let T ∼ t – distributed with the given degrees...
use r-studio code to compute 1. Let T ∼ t – distributed with the given degrees of freedom (df), then compute the following probabilities with a nice little picture beside each problem: [5 points] (e) df = ∞, P(T > 2.3) 2. Let T ∼ t – distributed with the given degrees of freedom (df), compute the following quantiles (percentiles) with a nice little picture beside each problem: [5 points] (a) df = 2, 0.05th percentile (b) df = 7,...
let let T : R^3 --> R^2 be a linear transformation defined by T ( x,...
let let T : R^3 --> R^2 be a linear transformation defined by T ( x, y , z) = ( x-2y -z , 2x + 4y - 2z) a give an example of two elements in K ev( T ) and show that these sum i also an element of K er( T)
6.) Let ~r(t) =< 3 cos t, -2 sin t > for 0 < t <...
6.) Let ~r(t) =< 3 cos t, -2 sin t > for 0 < t < pi. a) Sketch the curve. Make sure to pay attention to the parameter domain, and indicate the orientation of the curve on your graph. b) Compute vector tangent to the curve for t = pi/4, and sketch this vector on the graph.
Let T: R^3----> R^3 where T(x,y,z) = (x-2z,y+z,x+2y) . Is T a one-to-one transformation? Is the...
Let T: R^3----> R^3 where T(x,y,z) = (x-2z,y+z,x+2y) . Is T a one-to-one transformation? Is the range of T R^3 ? Explain
Let A be an n x M matrix and let T(x) =A(x). Prove that T: R^m...
Let A be an n x M matrix and let T(x) =A(x). Prove that T: R^m R^n is a linear transformation
The position of a particle at time t ∈ R is given by r(t) = (t...
The position of a particle at time t ∈ R is given by r(t) = (t 2 , 1/3 t(t 2 − 3)). Specify for what value of t the velocity vector is vertical and for what value of t the velocity vector is horizontal and at what points in the plane this occurs. b) Let z = ln(x + ln(y)). Determine all second order partial derivatives to z.
Let S and T be nonempty subsets of R with the following property: s ≤ t...
Let S and T be nonempty subsets of R with the following property: s ≤ t for all s ∈ S and t ∈ T. (a) Show that S is bounded above and T is bounded below. (b) Prove supS ≤ inf T . (c) Given an example of such sets S and T where S ∩ T is nonempty. (d) Give an example of sets S and T where supS = infT and S ∩T is the empty set....
Let T : P(R) → P(R) be the linear map defined by T(p(x)) = xp′(x) (you...
Let T : P(R) → P(R) be the linear map defined by T(p(x)) = xp′(x) (you may take it for granted that T is linear). Show that for each λ ∈ Z with λ ≥ 0, λ is an eigenvalue of T , and xλ is a corresponding eigenvector.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT