58. An interval a St s b corresponding to a piece of the helix r (t)costi + sint j +tk of length 10.
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies on the surface S defined by z = 2.cy. F. dr (b) (20 pts] By using Stokes' Theorem, evaluate the line integral| " where F(t,y,z) = (y2 + cos z)i + (sin y+z)j + tk
Question 11 Find the length of the curve r(t) = 7ti + 3 cos(t)j + 3sin(t)k, -3sts3 a. 8/58 b. 658 C. 8/29 d. 1258 e. 1058 a
Find the length of segment RS if S between R and T, the length of RS is 1/3 the length of segment RT, RS=3x-3 and ST=2x+6.
Given three relational schemas R(AB), S(A), and T(B), and let r(R), s(S), and t(T) be the relations (relation table or relation instance) corresponding to R, S, and T respectively as the following: AB A B ______ ___ ___ a1 b1 a1 b2 a2 b1 a3 b4 a3 b1 a1 b2 a2 b2 a3 b2 a1 b4 a2 b4 r(R) s(S) t(T) 1. Please give the result of table R divideby table S. 2. Please give...
A particle moves in the plane with position given by the
vector valued function r(t)=cos^3(t)i+sin^3(t)j
MA330 Homework #2 particle moves in the plane with position given by the vector-valued function The curve it generates is called an astrid and is plotted for you below. (a) Find the position att x/4 by evaluating r(x/4). Then draw this vector on the graph (b) Find the velocity vector vt)-r)-.Be sure to apply the power and (e) Find the velocity at t /4 by...
Let S = {n ∈ N | 1 ≤ n < 6} and R = {(m, n) ∈ S × S | m ≡ n mod 3} a. List all numbers of S. b. List all ordered pairs in R. c. Does R satisfy any of the following properties: (R), (AR), (S), (AS), and/or (T)? d. Draw the digraph D presenting the relation R where S are the vertices, and R determines the directed edges. e. Give each edge in...
I need help with a,b,c
We were unable to transcribe this imageWe were unable to transcribe this image4.b 3 point(s) Compute (without using R) a 99% confidence interval for the difference in population mean temperatures of coffee served at the two coffee shops (Ed's less Tedd's). Report your - degrees of freedom for t, - value of t* - value of standard error of the difference in sample means, -resulting 99% confidence interval df-7, d-10, t.-3.169, s.е.(X1-X2)-3.7624. 9996 Cl-(-5.0513°F, 18.7951°F)...
3. Let T (V), and B be an orthonormal basis, so that M(T,B) (5+20 pts) Is T self-adjoint? Why/Why Not? (5+20 pts) Is T normal? Why/Why Not? . (10 pts/box with explanation) Now, let R E L(V) be a self-adjoint operator, SEL(V) a normal operator, and U E L(V) an operator that is neither self-adjoint nor normal; what properties do these operators have-mark R (if true only for F = R) / C (if true only for F = C)...
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
18 Let g(t) be defined by the following table: a. Evaluate g(5) b. Evaluate g(0). c. Is g(3) defined? Explain. 44. Let h(t) be defined by the following table: t hin a. Evaluate h(-2). b. Evaluate h(4). c. Is h(5) defined? 4.5 Explain "mo Paying Attention to InstructionsExercises 45 and 46 are intended to give you practice reading and paying attention to the instructions that accompany the problems you are working (45) a. Solve for x 2x + 3 =...