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melisa1 [442]
3 years ago
8

A blacksmith has been studying vector calculus and wants to calculate the total mass of a curved metal fitting. Given that the m

etal fitting has a helix shape parameterized by C:[0,π] → IR3 C(t) = (cos (t), sin(t), t) And the density of the metal material is given by the function:f(x,y,z) = 22 How can the black smith calculate the total mass of the fitting and what is this mass?

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

4483.1

Step-by-step explanation:

Helix shape of the metal fitting parameterized :

C(t) = (cos(t), sin(t), t )

This shows that:  x = cos(t), y = sin(t), z = t

density of the metal can be represented as

f (x(t), y(t), z(t) = 2z = 2t

To calculate the mass of the fitting an integral is generated below ( attached below is remaining part of the solution )

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A 429 g piece of cheese costs $9.50. What will be the cost for 1.42 kg of this cheese?
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<h3>What does unit conversion entail?</h3>

The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.

<h3>Why is the unitary technique used? What is it?</h3>

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