Directions of zero change Find the directions in the xy-plane in which the following functions have zero change at the given point. Express the directions in terms of unit vectors. 65. f ( x , y ) = 12 − 4 x 2 − y 2 ; P ( 1 , 2 , 4 )
Directions of zero change Find the directions in the xy-plane in which the following functions have zero change at the given point. Express the directions in terms of unit vectors. 65. f ( x , y ) = 12 − 4 x 2 − y 2 ; P ( 1 , 2 , 4 )
Directions of zero changeFind the directions in the xy-plane in which the following functions have zero change at the given point. Express the directions in terms of unit vectors.
65.
f
(
x
,
y
)
=
12
−
4
x
2
−
y
2
;
P
(
1
,
2
,
4
)
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Write a function-file to obtain the dot product and the vector product of two vectors a and b. Use the function to evaluate the dot and vector products of vectors x and y, where x = (1 5 6) and y = (2 3 8).
Create a MATLAB function file that solves matrices with the following minimum specifications:
a. Create a 10 x 5 vector M (range of vector numbers is from -100 to 100)
b. Create a 10 x 5 vector N (range of vector numbers is from -100 to 100)
c. Print on display M15
d. Print on display N24
e. Print on display fourth column
f. Print on display the sum of vectors M and N
In matlab
We have two vectors containing the weight and height of a group of people. The vector H contains the measurement data of height (in meters)
H=[1.92 1.58 1.69 2.10 1.96 1.81 1.59 1.91 1.61 1.71 1.68 1.54 1.93 2.14 1.83 1.71 1.82 1.88 1.74 1.65 1.59 1.60 1.66 1.78 1.81]
the vector V contains the measurements of weight in kilograms
V= [116.4 52.7 67.2 51.8 100.8 102 94.3 68.6 92.9 46.3 82.1 89.3 66.6 77.6 137.7 83.8 72.2 77.7 96.9 44.6 57.4 86.6 72.8 58.1 66.7]
Use the controllstructures (loops and condition tests), do not use mean() or std() in Matlab. create a script to find the following.
a) what is the average height
b) what is the standard deviation of the height
c) find the BMI (body mass index) for all the subjects, it's going to be a vector with values for all the subjects.
d) how many have a normal weight BMI (under 18.5 and over 25)
Chapter 15 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Calculus: Early Transcendentals (3rd Edition)
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