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3 years ago

Write the equation in spherical coordinates. (a) 4x2 − 3x + 4y2 + 4z2 = 0

1 answer:

6 0

4x^2-3x+4y^2+4z^2=0
here we shall proceed as follows:
x=ρcosθsinφ
y=ρsinθsinφ
z=ρcosφ
thus
4x^2-3x+4y^2+4z^2=
4(ρcosθsinφ)^2-3(ρcosθsinφ)+4(ρsinθsinφ)^2+4(ρcosφ)
but
ρ=1/4cosθsinφ

hence we shall have:
4x^2-3x+4y^2+4z^2
=1/4cosθsinθ(cosθ(4-3sinφ))+4sin^2(φ)

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Answer:

N/m^2

Step-by-step explanation:

If the amount of force (newtons) is changing over the surface area, that means we should use units in the form of newtons over surface area, which is in the form of m^2.

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3 years ago

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Find f(3) and interpret its meaning.

anyanavicka [17]

Answer:

f(3) = 425

f(3) is the elevation of a mountain climber after 3 hours of climbing.

Step-by-step explanation:

So we are given a line that relates time to elevation. We are also given that the equation of the line is f(x) = 125x + 50. From looking at the graph given, we can see that x is the time, in hours, and y, or f(x), is the height, in feet. We are asked to find f(3) and interpret it's meaning.

To find f(3), we would have to find what f(x) is when x = 3. To do this, lets plug in 3 for x into the given equation:

f(3) = 125(3) + 50 = 425

So f(3) = 425. Now, we already know that x is the time in hours and y, or f(x), is the elevation in feet. We set x to 3 when solving for f(3). We have also found that f(3), or y when x = 3, is 425. So f(3), or 425, is the elevation after 3 hours.

I hope you find my answer and explanation to be helpful. Happy studying.

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3 years ago

What is the area of the parallelogram shown above

adoni [48]

The area of the parallelogram is 55 square feet

<h3>How to determine the area of the parallelogram?</h3>

From the figure, we have the following dimensions:

Height = 5 ft

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The area of the parallelogram is calculated as:

Area = Base * Height

This gives

Area = 5ft * 11ft

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Area = 55 square feet

Hence, the area of the parallelogram is 55 square feet

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2 years ago

Write the if/else statement as the conditional expression that performs the same option result = x < y ? x * 5 : a b;

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The conditional statement is

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The statement is given as:

result = x < y ? x * 5

The above means that,

the variable result is assigned x * 5 if x < y

So, the conditional statement is

if x < y:

result = x * 5

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1 year ago

Bharat types 20 words/min. How many words can he type in each length of time? a) 5 min b) 30 min c) 23 min

e-lub [12.9K]

Bharat can type words in lengths of time as 100 words, 600 words, and 460 words in 5 minutes, 30 minutes, and 23 minutes respectively.

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Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

Bharat types 20 words per minute which are given in the question.

To determine the number of words can he type in each length of time

We have to multiply the time by his typing speed.

The number of words that can be typed by Bharat in 5 minutes :

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The number of words that can be typed by Bharat in 30 minutes :

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⇒ 20 × 23

⇒ 460

Therefore, He can type words in lengths of time as 100 words, 600 words, and 460 words in 5 minutes, 30 minutes, and 23 minutes respectively.

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