1. Find the gradient of the function.  Reminder that the gradient is a vector.  Review the notation requirements below regarding vectors and be sure to use correct notation so that you are not marked down. f(x,y) = x^2 + y^2 - 10 upside down triangle f(x,y) = ??   2.  Given a point P on the plane and a normal vector n , find the equation of the plane. Review the notation requirements below regarding planes and be sure to use correct notation so that you are not marked down. P(3,0,1)  n = (-2,-4,6)   3.  Describe or sketch the level curve z=4 for the function below. z = sqrt (x^2 + y^2 - 9)

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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1. Find the gradient of the function. 

Reminder that the gradient is a vector.  Review the notation requirements below regarding vectors and be sure to use correct notation so that you are not marked down.

f(x,y) = x^2 + y^2 - 10

upside down triangle f(x,y) = ??

 

2.  Given a point P on the plane and a normal vector n , find the equation of the plane.

Review the notation requirements below regarding planes and be sure to use correct notation so that you are not marked down.

P(3,0,1)  n = (-2,-4,6)

 

3.  Describe or sketch the level curve z=4 for the function below.

z = sqrt (x^2 + y^2 - 9)

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