3. Consider the vector-valued function: r(t) = Vt +1 i + pi a. State the domain of this function (using interval notation). b. Find the open intervals on which the curve traced out by this vector-valued function is smooth. Show all work, including r 't), the domain of r', and the other required steps. c. Provide a careful sketch of the path traced out by this function below. Include at least 3 points on the graph of this function. Assume...
Can someone help me solve this step by step please (1 point) Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t) = (In(13t), vt + 10, 1 19 t b) r(t) = (vt – 4, sin(3t), t²) t 4t c) r(t) = - t1/3 t2 9
what is the domain, range, x and y asymtotes of this equation? 2x-2 Given f(x) = 22 +2x-3 Part: 0 / 5 Part 1 of 5 (a) Write the domain of f in interval notation. The domain of the function in interval notation is
Consider the functions F and Gas shown in the graph to the right Find the domain of the domain of G, and the domain of F. What is the domain of F? (Type your answer in interval notation) YA Total profit is defined as total revenue, R(x), minus total cost. Cix), and is given by the function PRO-COX). Given Rx)=5&x-0322 and Codex + 15, find each of the following a) PIX) b) R(100), C(100), and P(100) P(x)=0 (Type in descending...
The functions of f and g are given. Evaluate f o g and find the domain of the composite function f o g. Test: Unit Test #1-Algebra This Question: 1 pt The functions fand g are given. Evaluate fo g and find the domain of th 2 5 fx) x+1 900)-x ()(Simplify your answer.) The domain of f g is (Type your answer in interval notation.) Ente
(2) Consider the function f given by f:R R f(a)1 2 (a) Determine the domain D and range R of the function f. (b) Show that f is not one to one on D. (c) Let ç D be a subset of the domain of f such that for all x ? S, 0 and the function is one to one. Find such a set S. (d) For the set S given in Part (c), find f (x) (e) Determine...
What is the domain? For f(x) = 2 X +3 and g(x) = , find a. (fog)(x); b. the domain of fog a. (fog)(x) = 0 (Simplify your answer.) b. What is the domain of fog? The domain is o (Simplify your answer. Type your answer in interval notation. U:
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...
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83, 2) with 0 2 t 1l F=(z-z, 0,2) r(t)-(cost, 0, sin t) with 0 t π F = (-y,2, 2) with r(t) = (-2 cost, 2 sin t, 2t) 0 < t < 2π (3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83,...
2-5x 3+2x The function fx)i on-to-one (a) Find the inverse of f (b) State the domain and range of f. (c) State the domain and range of f (a) What is the inverse of f? Simplify your answer. Use integers or fraction for any numbers in the expression.) (b) What is the domain and range of f? The domain of fis (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The range of...