15) The acceleration at t 0 for r(t) - t2i + (8t3 - 2)j +N16-2tk 1 A) a(0) 2i - 1 B) a(0)= 2i+ -k 64 k 128 1 C) a(0)= 2i- -21-1k k 64 D) a (0) 2i 4 15) The acceleration at t 0 for r(t) - t2i + (8t3 - 2)j +N16-2tk 1 A) a(0) 2i - 1 B) a(0)= 2i+ -k 64 k 128 1 C) a(0)= 2i- -21-1k k 64 D) a (0) 2i 4
R programming Consider the continuous function r22r+3 ifr < 0 f(r)=r+3 12 +4 7 if 2 < x. T>r50 Write a function tmpFn which takes a single argument xVec. The function should return the vector of values of the function f(x) evaluated at the values in xVec Hence plot the function f(x) for -3 <x< 3. Consider the continuous function r22r+3 ifr
question about linear algebra 21. The following two lines := -i+j+ k + t(2i - 2j - 2k), t e R r and y2 1 = 2 -1 intersect each other. What is the equation of the line (where s E R) passing through the intersection point of these two lines and perpendicular to both of them? r -ijk s(i - j - k) (a) (b) r i2j+3k + s(i - 2j + 7k) (c) (d) rsik) (e) =j-k s(i...
1 a) Find the domain of r(t) = (2-Int ) and the value of r(to) for to = 1. b) Sketch (neatly) the line segment represented by the vector equation: r=2 i+tj; -1 <t<l. c) Show that the graph of r(t) = tsin(t) i + tcos(t) j + t?k, t> 0 lies on the paraboloid: z= x2 + y². 2. a) Find r'(t) where r(t) = eti - 2cos(31) j b) Find the parametric equation of the line tangent to...
Find the derivative, r'(t), of the vector function. r(t) = eti- j+ln(1 + 7t)k r'(t) = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. T = 5e, y = te, c = tetp:/5, 0, 0) x(t), y(t), z(t) =
(1 point) Given R(t)=e4tcos(3t)i+e4tsin(3t)j+3e4tkR(t)=e4tcos(3t)i+e4tsin(3t)j+3e4tk Find the derivative R′(t)R′(t) and norm of the derivative. R′(t)=R′(t)= ∥R′(t)∥=‖R′(t)‖= Then find the unit tangent vector T(t)T(t) and the principal unit normal vector N(t)N(t) T(t)=T(t)= N(t)=N(t)= (1 point) Given R(t) = cos(36) i + e sin(3t) 3 + 3e"k Find the derivative R') and norm of the derivative. R'(t) = R' (t) Then find the unit tangent vector T(t) and the principal unit normal vector N() T(0) N() Note: Yn can can on the hom
vector u= 2i-j vector v= -2i+3J-3K find the component vector u perpendicular to v
8.5 Find i for t> 0 if (0) 4 V. 6Ω 2i V 3Ω PROBLEM 8.5 8.6 Consider a source-free circuit that has a response v(t) Voe. Show that a stra
Problem 2: Solve the initial value problem: with 4. 0<t〈2 f(t) 14t-2i,22
Find the following expressions if a = 2i – 5k, b = i+j - 3k, and c = 4i + 8j + 2k. 1. a. b 2. a.C= 3. b.c=