1. (a) Suppose u = 3î+2j-1k and v= 0î+ 55+7k. Simplify the single expression: (u.v) (ux v) (b) Write down a parameterization r(t) of the circle of radius 2 in the plane z = 5 and centered at (1,3,5). Please put problem 2 on answer sheet 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve Q1 please
1. (a) Suppose u = 3î+2j-1k and v= 0î+5ĵ+7k. Simplify the single expression:
(u.v) (u x v)
(b) Write down a parameterization r(t) of the circle of radius 2 in the plane z = ! 5 and centered
at (1,3,5).
Please put problem 2 on answer sheet 2
2. (a) Find the directional derivative of the function f(x, y) = x²y + at the point (1, 2) in the
direction of the vector 5î - 3ĵ.
(b) Find the equation of the plane tangent to the graph of the function f(x, y) = x²y + xy
at the point (1, 2, 1).
1
Transcribed Image Text:1. (a) Suppose u = 3î+2j-1k and v= 0î+5ĵ+7k. Simplify the single expression: (u.v) (u x v) (b) Write down a parameterization r(t) of the circle of radius 2 in the plane z = ! 5 and centered at (1,3,5). Please put problem 2 on answer sheet 2 2. (a) Find the directional derivative of the function f(x, y) = x²y + at the point (1, 2) in the direction of the vector 5î - 3ĵ. (b) Find the equation of the plane tangent to the graph of the function f(x, y) = x²y + xy at the point (1, 2, 1). 1
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