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3 years ago

Consider the surface given by

1 answer:

5 0

This is just simple. For example you have a plane of the form x=a, then you just substitute x with a, and you'll get an equation with y and z only, hence you have a 2-d trace of the intersection. It is just similar for y=b and z=c.

(1) At z=1.5, 2x^2 + 5y^2 + 1.5^2 = 4
2x^2 + 5y^2 = 1.75
Now you have an ellipse in the z=1.5 plane as your trace.

(2) At x=1, 2(1)^2 + 5y^2 + z^2 = 4
5y^2 + z^2 = 2
Now you have an ellipse in the x=1 plane as your trace.

(3) At z=0, 2x^2 + 5y^2 + (0)^2 = 4
2x^2 + 5y^2 = 4
Now you have an ellipse in the z=0 plane as your trace.

(4) At y=0, 2x^2 + 5(0)^2 + z^2 = 4
2x^2 + z^2 = 4
Now you have an ellipse in the y=0 plane as your trace.

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The Wind Mountain excavation site in New Mexico is an important archaeological location of the ancient Native American Anasazi c

timurjin [86]

Answer:

a) 28

Class Limits Class Boundaries Midpoint f Rf Cf

10 - 37 9.5-37.5 23.5 7 0.096 7

38 - 65 37.5-65.5 51.5 25 0.342 32

66 - 93 65.5-93.5 79.5 26 0.356 58

94 - 121 93.5-121.5 107.5 9 0.123 67

122 - 149 121.5-149.5 135.5 5 0.068 72

150 - 177 149.5-177.5 163.5 0 0.0 72

178 - 205 177.5-20.5 191.5 1 0.014 73

Total 73 1.0

The histogram is in attached file.

Step-by-step explanation:

The width of class interval=range/desired number of classes

The width of class interval=(maximum-minimum)/7

The width of class interval=(200-10)/7

The width of class interval=190/7

The width of class interval=27.14=28 (rounded to next whole number)

Part(b) and part (c) is explained in attached word document.

Download docx

5 0

3 years ago

Calculate Income Elasticity of Demand Question Suppose that when the price of cream cheese rises by 10%, the quantity of bagels

inn [45]

Answer:

eY is positive +0.1 therefore bagels are a normal good.

Step-by-step explanation:

Given data:

when, 10% rise in cheese price, 3% fall in bagels quantity observed

when, 10% rise in income, 1% fall in bagels quantity observed

from formula for cross price elasticity of demand, determine $e_{AB}$

$e_{AB} = \frac{(−3\%}{(10\%)} = −0.3.$

As, eAB is negative, bagels $ cream cheese are complements.

By formula for income elasticity of demand,

we find that $eY= \frac{(+1\%)}{(10\%)} = +0.1.$

Since eYis positive, bagels are a normal good.

4 0

4 years ago

What is the volume of a rectangular prism with side lengths of x, x +4, and 2x-1

marysya [2.9K]

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6 0

3 years ago

Use the law of cosines to find the length of a

borishaifa [10]

Answer:

Step-by-step explanation:

You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:

$\frac{sin55}{175}=\frac{sin42}{a}$ and solving for a: